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"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green 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 Green Green Green 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 Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Green Green Green 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 Green Green Green 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 Green Green Green 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 Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green 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 Green Green Green 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 Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Green Green Green 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 Green Green Green 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 Green Green Green 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 Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Green Green Green Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange\nRed Red Red Red Red Red Green Green Green Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange\nRed Red Red Red Red Red Green Green Green Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange\nRed Red Red Green Green Green Green Green Green Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink\nRed Red Red Green Green Green Green Green Green Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink\nRed Red Red Green Green Green Green Green Green Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink\nRed Red Red Red Red Red Red Red Red Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Green Green Green Red Red Red Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Green Green Green Red Red Red Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Green Green Green Red Red Red Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Green Green Green Red Red Red Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\n\n\nExample 3\nInput:\nGreen Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black\nGreen Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black\nGreen Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black\nGreen Green Green Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Black Black Black\nGreen Green Green Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Black Black Black\nGreen Green Green Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Black Black Black\nGreen Green Green Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nGreen Green Green Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nGreen Green Green Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Black Black Black Blue Blue Blue Green Green Green Red Red Red\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Red Red Red Red Red Red Black Black Black Blue Blue Blue Green Green Green Red Red Red\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Red Red Red Red Red Red Black Black Black Blue Blue Blue Green Green Green Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Black Black Black Blue Blue Blue Green Green Green Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Black Black Black Blue Blue Blue Green Green Green Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Black Black Black Blue Blue Blue Green Green Green Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black\nGreen Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black\nGreen Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black\nGreen Green Green Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Black Black Black\nGreen Green Green Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Black Black Black\nGreen Green Green Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Green Green Green Black Black Black\nGreen Green Green Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nGreen Green Green Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nGreen Green Green Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Black Black Black Blue Blue Blue Green Green Green Red Red Red\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Red Red Red Red Red Red Black Black Black Blue Blue Blue Green Green Green Red Red Red\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Red Red Red Red Red Red Black Black Black Blue Blue Blue Green Green Green Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Green Green Green 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 Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black\nGreen Green Green Red Red Red 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 Red Red Red 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 Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Red Red Red Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Red Red Red Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Red Red Red Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Green Green Green 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 Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black\nGreen Green Green Red Red Red 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 Red Red Red 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 Red Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Red Red Red Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Red Red Red Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Red Red Red Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Blue Blue Blue Black Black Black Red Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Yellow Yellow Yellow Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Black Black Black Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Black Black\nBlack Black Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Black Black\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlack Black Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black\nBlack Black Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Gray Gray Gray Gray Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Gray Gray Gray Gray Black Black Black Black Blue Blue\nGray Gray Black Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray\nPurple Purple Yellow Yellow Black Black Blue Blue Blue Blue Black Black Yellow Yellow Purple Purple\nPurple Purple Yellow Yellow Black Black Blue Blue Blue Blue Black Black Yellow Yellow Purple Purple\n\nOutput:\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlue Blue Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue\nBlue Blue Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue\n\n\nExample 2\nInput:\nPurple Purple Pink Pink Purple Purple Black Black Purple Purple Pink Pink Purple Purple\nPurple Purple Pink Pink Purple Purple Black Black Purple Purple Pink Pink Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Gray Gray Black Black Black Black Black Black Gray Gray Orange Orange\nOrange Orange Gray Gray Black Black Black Black Black Black Gray Gray Orange Orange\nGray Gray Pink Pink Green Green Black Black Green Green Pink Pink Gray Gray\nGray Gray Pink Pink Green Green Black Black Green Green Pink Pink Gray Gray\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nPink Pink Black Black Yellow Yellow Black Black Yellow Yellow Black Black Pink Pink\nPink Pink Black Black Yellow Yellow Black Black Yellow Yellow Black Black Pink Pink\nPink Pink Blue Blue Black Black Black Black Black Black Blue Blue Pink Pink\nPink Pink Blue Blue Black Black Black Black Black Black Blue Blue Pink Pink\nGreen Green Gray Gray Black Black Black Black Black Black Gray Gray Green Green\nGreen Green Gray Gray Black Black Black Black Black Black Gray Gray Green Green\nBlue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Blue Blue\nBlue Blue Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Blue Blue\n\nOutput:\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue\nBlue Blue Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Gray Gray Red Red Black Black Red Red Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Red Red Black Black Red Red Gray Gray Black Black Black Black\nGray Gray Black Black Blue Blue Purple Purple Black Black Purple Purple Blue Blue Black Black Gray Gray\nGray Gray Black Black Blue Blue Purple Purple Black Black Purple Purple Blue Blue Black Black Gray Gray\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlue Blue Blue Blue Brown Brown Brown Brown Black Black Brown Brown Brown Brown Blue Blue Blue Blue\nBlue Blue Blue Blue Brown Brown Brown Brown Black Black Brown Brown Brown Brown Blue Blue Blue Blue\nRed Red Black Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black Red Red\nRed Red Black Black Black Black Brown Brown Black Black Brown Brown Black Black Black Black Red Red\nBlack Black Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Brown Brown Red Red Red Red Black Black Red Red Red Red Brown Brown Black Black\nBlack Black Brown Brown Red Red Red Red Black Black Red Red Red Red Brown Brown Black Black\nPurple Purple Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue Purple Purple\nPurple Purple Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black\nBlue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue\nBlue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Black Black\nBlack Black Black Pink Black Black Black Black\nBlack Black Orange Black Orange Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nGreen Black Green Black Black Black Black\nBlack Yellow Black Black Black Black Black\nGreen Black Green Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Purple Black Purple Black\nBlack Black Black Black Brown Black Black\nBlack Black Black Purple Black Purple Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black\nBlack Black Black Brown Brown Brown Black\nBlack Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Gray Black Black\nBlack Black Black Black Black Pink Black Black Black\nBlack Black Black Black Gray Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow 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\nBlack Black Red Red Yellow Yellow Yellow Yellow Red Red Red Red Yellow Yellow Yellow Yellow Red Red\nBlack Black Red Red Yellow Yellow Yellow Yellow Red Red Red Red Yellow Yellow Yellow Yellow Red Red\nBlack Black Gray Gray Red Red Red Red Gray Gray Gray Gray Red Red Red Red Gray Gray\nBlack Black Gray Gray Red Red Red Red Gray Gray Gray Gray Red Red Red Red Gray Gray\nBlack Black Gray Gray Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray\nBlack Black Gray Gray Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red Yellow Yellow Yellow Yellow Red Red\nRed Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red Yellow Yellow Yellow Yellow Red Red\nGray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Red Red Red Red Gray Gray\nGray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Red Red Red Red Gray Gray\nGray Gray Gray Gray Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray\nGray Gray Gray Gray Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Purple Purple Blue Blue Purple Purple Orange Orange Orange Orange Purple Purple Blue Blue Purple Purple Orange Orange\nBlack Black Orange Orange Purple Purple Blue Blue Purple Purple Orange Orange Orange Orange Purple Purple Blue Blue Purple Purple Orange Orange\nBlack Black Purple Purple Brown Brown Blue Blue Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Brown Brown Purple Purple\nBlack Black Purple Purple Brown Brown Blue Blue Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Brown Brown Purple Purple\nBlack Black Gray Gray Yellow Yellow Green Green Yellow Yellow Gray Gray Gray Gray Yellow Yellow Green Green Yellow Yellow Gray Gray\nBlack Black Gray Gray Yellow Yellow Green Green Yellow Yellow Gray Gray Gray Gray Yellow Yellow Green Green Yellow Yellow Gray Gray\nBlack Black Gray Gray Orange Orange Brown Brown Orange Orange Gray Gray Gray Gray Orange Orange Brown Brown Orange Orange Gray Gray\nBlack Black Gray Gray Orange Orange Brown Brown Orange Orange Gray Gray Gray Gray Orange Orange Brown Brown Orange Orange Gray Gray\nBlack Black Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red\nBlack Black Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nOrange Orange Orange Orange Purple Purple Blue Blue Purple Purple Orange Orange Orange Orange Purple Purple Blue Blue Purple Purple Orange Orange\nOrange Orange Orange Orange Purple Purple Blue Blue Purple Purple Orange Orange Orange Orange Purple Purple Blue Blue Purple Purple Orange Orange\nPurple Purple Purple Purple Brown Brown Blue Blue Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Brown Brown Purple Purple\nPurple Purple Purple Purple Brown Brown Blue Blue Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Brown Brown Purple Purple\nGray Gray Gray Gray Yellow Yellow Green Green Yellow Yellow Gray Gray Gray Gray Yellow Yellow Green Green Yellow Yellow Gray Gray\nGray Gray Gray Gray Yellow Yellow Green Green Yellow Yellow Gray Gray Gray Gray Yellow Yellow Green Green Yellow Yellow Gray Gray\nGray Gray Gray Gray Orange Orange Brown Brown Orange Orange Gray Gray Gray Gray Orange Orange Brown Brown Orange Orange Gray Gray\nGray Gray Gray Gray Orange Orange Brown Brown Orange Orange Gray Gray Gray Gray Orange Orange Brown Brown Orange Orange Gray Gray\nRed Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red\nRed Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue\nBlack Black Black Black Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Orange Orange Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink Pink Pink Orange Orange\nBlack Black Black Black Orange Orange Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink Pink Pink Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Pink Pink Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue\nBlue Blue Pink Pink Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Pink Pink Pink Pink Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\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\nOrange Orange Pink Pink Orange Orange Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink Pink Pink Orange Orange\nOrange Orange Pink Pink Orange Orange Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink Pink Pink Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Green Green Yellow Yellow Green Green Green Green Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Green Green Yellow Yellow Green Green Green Green Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Green Green Yellow Yellow Green Green Green Green Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Green Green Yellow Yellow Green Green Green Green Yellow Yellow 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Yellow Yellow Green Green Green Green Green Green Yellow Yellow Green Green Green Green Yellow Yellow Green Green\nGreen Green Yellow Yellow Green Green Green Green Green Green Yellow Yellow Green Green Green Green Yellow Yellow Green Green\nGreen Green Yellow Yellow Green Green Green Green Green Green Yellow Yellow Green Green Green Green Yellow Yellow Green Green\nGreen Green Yellow Yellow Green Green Green Green Green Green Yellow Yellow Green Green Green Green Yellow Yellow Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Gray Gray Black Brown Brown Brown Brown Black Black Black Black\nPink Pink Pink Gray Gray Black Black Black Black Brown Black Black Black Black\nBlack Pink Black Black Orange Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Brown Black Black Black Black\nBlack Pink Pink Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Pink Pink Black Pink Black Black\nPink Pink Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Gray Gray Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Gray Gray Black Black Pink Black Pink Pink Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Black Pink Black Pink Black Pink Black Pink Black Pink Black Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Pink Pink Black Brown Brown Black Black Black\nBlack Yellow Black Black Pink Pink Pink Black Black Black Yellow Yellow\nYellow Yellow Yellow Black Pink Pink Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Red Black Pink Pink Pink Pink Black Black Black Black Black\nRed Red Red Black Pink Pink Black Pink Pink Black Black Black\nBlack Red Black Black Pink Pink Black Pink Pink Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Black Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Brown\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Pink Pink Black Brown Brown Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Red Black Pink Pink Pink Pink Black Black Black Black Black\nRed Red Red Black Pink Pink Black Pink Pink Black Black Black\nBlack Red Black Black Pink Pink Black Pink Pink Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Black Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Brown\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Red Red Black Black Black\nOrange Orange Yellow Yellow Yellow Black Red Black Orange Orange Black\nOrange Orange Black Yellow Purple Purple Black Black Orange Orange Green\nBlack Black Black Purple Purple Purple Purple Black Black Black Green\nBlack Black Black Purple Purple Purple Purple Green Green Green Green\nBlack Black Black Purple Purple Purple Purple Black Black Green Black\nBlack Black Black Black Black Black Pink Pink Black Pink Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Red Red Red Black Pink Pink Pink Black Black\nBlack Black Red Black Red Black Pink Black Pink Pink Black\nBlack Black Red Red Red Blue Black Black Black Black Black\nRed Red Red Red Blue Blue Black Black Black Black Black\nRed Red Red Red Black Black Orange Orange Black Red Red\nBlack Black Red Red Black Black Orange Orange Black Red Red\nBlack Black Red Red Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Red Red Black Black Black\nOrange Orange Yellow Yellow Yellow Black Red Black Orange Orange Black\nOrange Orange Black Yellow Purple Purple Black Black Orange Orange Green\nBlack Black Black Purple Purple Purple Purple Black Black Black Green\nBlack Black Black Purple Purple Purple Purple Green Green Green Green\nBlack Black Black Purple Purple Purple Purple Black Black Green Black\nBlack Black Black Black Black Black Pink Pink Black Pink Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Red Red Red Black Pink Pink Pink Black Black\nBlack Black Red Black Red Black Pink Black Pink Pink Black\nBlack Black Red Red Red Blue Black Black Black Black Black\nRed Red Red Red Blue Blue Black Black Black Black Black\nRed Red Red Red Black Black Orange Orange Black Black Black\nBlack Black Red Red Black Black Orange Orange Black Black Black\nBlack Black Red Red 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 Red Red Black Black Black Black\nBlack Yellow Black Black Black Red Red Red Red Black Black Black\nYellow Yellow Yellow Black Black Red Black Black Red Black Orange Orange\nYellow Black Black Black Black Red Red Red Red Orange Black Orange\nBlack Black Green Black Black Black Black Black Orange Orange Orange Black\nGreen Green Green Black Red Red Red Red Black Orange Black Black\nBlack Black Green Black Red Red Red Red Black Purple Purple Black\nBlack Black Black Black Red Red Red Red Black Black Purple Purple\nGreen Green Green Black Red Red Red Red Black Black Purple Black\nGreen Green Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Blue Blue Blue Black Orange Orange Black Black\nGreen Green Black Black Black Blue Black Black Orange Orange Black Black\nGreen Green Black Black Blue Blue Blue Orange Orange Orange Orange Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Black Green Green Black Green Green Black Green Green Black\nGreen Green Black Green Green Black Green Green Black Green Green Black\nBlack Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple\nBlack Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple\nGreen Green Black Green Green Black Green Green Black Green Green Black\nGreen Green Black Green Green Black Green Green Black Green Green Black\nBlack Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple\nBlack Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple\nGreen Green Black Green Green Black Green Green Black Green Green Black\nGreen Green Black Green Green Black Green Green Black Green Green Black\nBlack Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple\nBlack Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple\nGreen Green Black Green Green Black Green Green Black Green Green Black\nGreen Green Black Green Green Black Green Green Black Green Green Black\nBlack Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple\nBlack Purple Purple Black Purple Purple Black Purple Purple Black 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:\nPurple Purple Orange Orange Pink Pink Yellow Yellow Pink Pink Brown Brown\nPurple Purple Orange Orange Pink Pink Yellow Yellow Pink Pink Brown Brown\nPurple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green\nPurple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green\nGreen Green Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray\nGreen Green Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray\nOrange Orange Blue Blue Pink Pink Gray Gray Purple Purple Orange Orange\nOrange Orange Blue Blue Pink Pink Gray Gray Purple Purple Orange Orange\nYellow Yellow Purple Purple Red Red Orange Orange Orange Orange Green Green\nYellow Yellow Purple Purple Red Red Orange Orange Orange Orange Green Green\nOrange Orange Blue Blue Purple Purple Green Green Green Green Green Green\nOrange Orange Blue Blue Purple Purple Green Green Green Green Green Green\nPurple Purple Yellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown\nPurple Purple Yellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown\nOrange Orange Yellow Yellow Yellow Yellow Green Green Orange Orange Purple Purple\nOrange Orange Yellow Yellow Yellow Yellow Green Green Orange Orange Purple Purple\n\nOutput:\nBrown Brown Pink Pink Red Red Pink Pink Orange Orange Purple Purple\nBrown Brown Pink Pink Red Red Pink Pink Orange Orange Purple Purple\nYellow Yellow Brown Brown Orange Orange Pink Pink Gray Gray Purple Purple\nYellow Yellow Brown Brown Orange Orange Pink Pink Gray Gray Purple Purple\nGray Gray Orange Orange Brown Brown Orange Orange Orange Orange Yellow Yellow\nGray Gray Orange Orange Brown Brown Orange Orange Orange Orange Yellow Yellow\nOrange Orange Purple Purple Gray Gray Pink Pink Green Green Orange Orange\nOrange Orange Purple Purple Gray Gray Pink Pink Green Green Orange Orange\nYellow Yellow Orange Orange Orange Orange Blue Blue Purple Purple Red Red\nYellow Yellow Orange Orange Orange Orange Blue Blue Purple Purple Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Green Green Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Purple Purple Green Green Orange Orange\nBrown Brown Purple Purple Brown Brown Gray Gray Red Red Purple Purple\nBrown Brown Purple Purple Brown Brown Gray Gray Red Red Purple Purple\nPurple Purple Orange Orange Yellow Yellow Red Red Red Red Orange Orange\nPurple Purple Orange Orange Yellow Yellow Red Red Red Red Orange Orange\n\n\nExample 2\nInput:\nOrange Orange Yellow Yellow Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray\nOrange Orange Yellow Yellow Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray\nRed Red Orange Orange Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray Brown Brown\nRed Red Orange Orange Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray Brown Brown\nBrown Brown Purple Purple Purple Purple Brown Brown Pink Pink Orange Orange Blue Blue Orange Orange\nBrown Brown Purple Purple Purple Purple Brown Brown Pink Pink Orange Orange Blue Blue Orange Orange\nBrown Brown Pink Pink Green Green Green Green Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow\nBrown Brown Pink Pink Green Green Green Green Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow\nBlue Blue Purple Purple Purple Purple Pink Pink Orange Orange Blue Blue Green Green Red Red\nBlue Blue Purple Purple Purple Purple Pink Pink Orange Orange Blue Blue Green Green Red Red\n\nOutput:\nGray Gray Green Green Pink Pink Yellow Yellow Blue Blue Green Green Red Red Orange Orange\nGray Gray Green Green Pink Pink Yellow Yellow Blue Blue Green Green Red Red Orange Orange\nBrown Brown Gray Gray Brown Brown Purple Purple Green Green Brown Brown Orange Orange Blue Blue\nBrown Brown Gray Gray Brown Brown Purple Purple Green Green Brown Brown Orange Orange Blue Blue\nOrange Orange Green Green Orange Orange Pink Pink Brown Brown Purple Purple Purple Purple Brown Brown\nOrange Orange Green Green Orange Orange Pink Pink Brown Brown Purple Purple Purple Purple Brown Brown\nRed Red Orange Orange Red Red Red Red Yellow Yellow Yellow Yellow Pink Pink Brown Brown\nRed Red Orange Orange Red Red Red Red Yellow Yellow Yellow Yellow Pink Pink Brown Brown\nBlue Blue Yellow Yellow Green Green Orange Orange Pink Pink Purple Purple Purple Purple Green Green\nBlue Blue Yellow Yellow Green Green Orange Orange Pink Pink Purple Purple Purple Purple Green Green\n\n\nExample 3\nInput:\nGray Gray Brown Brown Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange Purple Purple\nGray Gray Brown Brown Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange Purple Purple\nPink Pink Orange Orange Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green\nPink Pink Orange Orange Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green\nPurple Purple Blue Blue Blue Blue Brown Brown Green Green Orange Orange Gray Gray Red Red Yellow Yellow\nPurple Purple Blue Blue Blue Blue Brown Brown Green Green Orange Orange Gray Gray Red Red Yellow Yellow\nPink Pink Purple Purple Orange Orange Gray Gray Pink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown\nPink Pink Purple Purple Orange Orange Gray Gray Pink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown\nPink Pink Blue Blue Gray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple Orange Orange\nPink Pink Blue Blue Gray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple Orange Orange\n\nOutput:\nPurple Purple Orange Orange Green Green Yellow Yellow Blue Blue Red Red Red Red Brown Brown Gray Gray\nPurple Purple Orange Orange Green Green Yellow Yellow Blue Blue Red Red Red Red Brown Brown Gray Gray\nYellow Yellow Orange Orange Red Red Purple Purple Green Green Pink Pink Gray Gray Orange Orange Pink Pink\nYellow Yellow Orange Orange Red Red Purple Purple Green Green Pink Pink Gray Gray Orange Orange Pink Pink\nRed Red Blue Blue Gray Gray Orange Orange Yellow Yellow Brown Brown Green Green Green Green Purple Purple\nRed Red Blue Blue Gray Gray Orange Orange Yellow Yellow Brown Brown Green Green Green Green Purple Purple\nBrown Brown Red Red Brown Brown Purple Purple Pink Pink Gray Gray Orange Orange Purple Purple Pink Pink\nBrown Brown Red Red Brown Brown Purple Purple Pink Pink Gray Gray Orange Orange Purple Purple Pink Pink\nOrange Orange Purple Purple Green Green Green Green Gray Gray Yellow Yellow Gray Gray Green Green Pink Pink\nOrange Orange Purple Purple Green Green Green Green Gray Gray Yellow Yellow Gray Gray Green Green Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown\nPink Pink Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown\nBlue Blue Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Brown Brown\nBlue Blue Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Brown Brown\nBrown Brown Orange Orange Pink Pink Pink Pink Pink Pink Purple Purple Brown Brown\nBrown Brown Orange Orange Pink Pink Pink Pink Pink Pink Purple Purple Brown Brown\nYellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray Blue Blue\nYellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray Blue Blue\nRed Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue\nRed Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue\nOrange Orange Yellow Yellow Purple Purple Green Green Gray Gray Orange Orange Red Red\nOrange Orange Yellow Yellow Purple Purple Green Green Gray Gray Orange Orange Red Red\nPink Pink Green Green Green Green Brown Brown Orange Orange Purple Purple Purple Purple\nPink Pink Green Green Green Green Brown Brown Orange Orange Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Gray Gray Brown Brown Pink Pink Yellow Yellow Gray Gray Pink Pink\nBrown Brown Gray Gray Brown Brown Pink Pink Yellow Yellow Gray Gray Pink Pink\nBrown Brown Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Green Green\nBrown Brown Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Green Green\nBrown Brown Purple Purple Pink Pink Pink Pink Pink Pink Orange Orange Brown Brown\nBrown Brown Purple Purple Pink Pink Pink Pink Pink Pink Orange Orange Brown Brown\nGreen Green Gray Gray Pink Pink Orange Orange Orange Orange Green Green Red Red\nGreen Green Gray Gray Pink Pink Orange Orange Orange Orange Green Green Red Red\nGreen Green Orange Orange Purple Purple Blue Blue Brown Brown Pink Pink Blue Blue\nGreen Green Orange Orange Purple Purple Blue Blue Brown Brown Pink Pink Blue Blue\nBlue Blue Orange Orange Gray Gray Yellow Yellow Purple Purple Red Red Orange Orange\nBlue Blue Orange Orange Gray Gray Yellow Yellow Purple Purple Red Red Orange Orange\nPurple Purple Purple Purple Orange Orange Brown Brown Yellow Yellow Yellow Yellow Pink Pink\nPurple Purple Purple Purple Orange Orange Brown Brown Yellow Yellow Yellow Yellow Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Purple Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Purple Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Gray Gray Gray Gray Blue Blue Green Green Black Black Black\nBlack Black Black Black Black Blue Black Black Green Green Green Black\nBlack Black Black Black Yellow Yellow Black Yellow Yellow Green Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Orange Orange Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Orange Black Yellow Yellow Black Yellow Yellow Black Black Black\nOrange Orange Orange Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Black Yellow Yellow\nBlack Yellow Yellow Yellow Black\nYellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Purple Black Orange Orange Black Black Black Black Green\nBlack Black Black Purple Purple Black Orange Black Black Black Black Green\nBlack Black Black Purple Purple Purple Orange Black Black Black Black Green\nBlack Black Purple Purple Purple Purple Orange Orange Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Brown Brown Brown Black Brown Brown Brown Black Black Blue\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Blue\nBlack Black Brown Brown Brown Black Brown Brown Brown Black Blue Blue\nBlack Black Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue\nBlack Black Black Brown Brown Brown Brown Brown Blue Blue Black Black\nBlack Black Black Black Brown Black Brown Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Brown Black Brown Black Black\nBlack Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Black Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Black Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Black Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Brown Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Green Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Green Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Brown Brown Black Black Brown Black\nBlack Black Black Black Black Black Green Green Black Brown Black Black Brown Black\nBlack Black Black Black Black Black Green Green Green Green Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Black Pink Pink\nPink Pink Black Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Black Purple Purple Purple Black Black Gray Gray\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black Gray\nBlack Black Black Purple Purple Purple Purple Black Gray Gray Black Black Gray\nBlack Black Black Red Red Red Black Gray Gray Gray Gray Gray Gray\nBlack Red Red Red Red Red Black Gray Black Black Black Black Black\nBlack Red Red Black Yellow Yellow Black Yellow Yellow Black Pink Pink Pink\nRed Red Red Black Yellow Yellow Yellow Yellow Yellow Black Pink Pink Pink\nBlack Black Pink Black Yellow Yellow Black Yellow Yellow Black Pink Black Black\nBlack Black Pink Black Yellow Yellow Black Yellow Yellow Black Pink Black Black\nPink Black Pink Black Yellow Yellow Black Yellow Yellow Pink Pink Black Black\nPink Pink Pink Pink Pink Black Black Black Black Pink Pink Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Black Yellow Yellow\nYellow Yellow Black Yellow Yellow\nYellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Purple Orange Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Yellow Yellow Yellow Yellow Yellow Black Black Black Orange Black Black Black Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Orange Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nOrange Black Black Black Brown Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Pink Black Black Red Black Black Black Black Yellow Black Black Black Black Black Black Black Black Orange Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Purple Black Black Black Black Green 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 Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Green Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Brown Yellow Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Blue Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Red 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 Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Black Green Black Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Green Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Brown\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Yellow Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green 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 Green Black\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\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 Brown Black Black Black Black 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 Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Brown Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Gray Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Orange Pink Yellow Pink Brown Purple Gray\nPink Orange Brown Green Green Orange Orange Brown\nOrange Gray Orange Blue Pink Gray Purple Orange\nYellow Purple Red Orange Orange Green Orange Blue\nPurple Green Green Green Purple Yellow Gray Brown\nPurple Brown Orange Yellow Yellow Green Orange Purple\nGray Pink Pink Purple Gray Brown Blue Purple\nPurple Yellow Yellow Gray Yellow Pink Blue Green\nPurple Brown Purple Blue Yellow Red Gray Pink\nOrange Red Brown Red Brown Red Purple Purple\n\nOutput:\nPurple Orange Gray Black Gray Brown Purple Red\nGray Orange Brown Green Green Orange Orange Brown\nOrange Red Orange Blue Gray Red Purple Orange\nBlack Purple Pink Orange Orange Green Orange Blue\nPurple Green Green Green Purple Black Red Brown\nPurple Brown Orange Black Black Green Orange Purple\nRed Gray Gray Purple Red Brown Blue Purple\nPurple Black Black Red Black Gray Blue Green\nPurple Brown Purple Blue Black Pink Red Gray\nOrange Pink Brown Pink Brown Pink Purple Purple\n\n\nExample 2\nInput:\nOrange Yellow Blue Red Green Pink Blue Gray Red Orange\nBrown Blue Purple Brown Gray Brown Brown Purple Purple Brown\nPink Orange Blue Orange Brown Pink Green Green Yellow Yellow\nOrange Yellow Blue Purple Purple Pink Orange Blue Green Red\nPink Blue Purple Red Purple Gray Pink Gray Yellow Purple\nPink Orange Red Pink Orange Yellow Brown Gray Gray Orange\nPink Orange Orange Brown Brown Purple Purple Purple Red Yellow\n\nOutput:\nOrange Black Blue Pink Green Gray Blue Red Pink Orange\nBrown Blue Purple Brown Red Brown Brown Purple Purple Brown\nGray Orange Blue Orange Brown Gray Green Green Black Black\nOrange Black Blue Purple Purple Gray Orange Blue Green Pink\nGray Blue Purple Pink Purple Red Gray Red Black Purple\nGray Orange Pink Gray Orange Black Brown Red Red Orange\nGray Orange Orange Brown Brown Purple Purple Purple Pink Black\n\n\nExample 3\nInput:\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\nOrange Gray Pink Blue Purple Yellow Orange Green Purple\nBlue Blue Brown Green Orange Gray Red Yellow Pink\nPurple Orange Gray Pink Purple Brown Yellow Brown Pink\nBlue Gray Green Gray Blue Blue Purple Orange Purple\nRed Brown Green Blue Green Yellow Green Blue Yellow\nYellow Blue Orange Yellow Brown Brown Pink Purple Blue\n\nOutput:\nBrown Black Black Pink Green Blue Orange Purple Gray\nOrange Red Gray Blue Purple Black Orange Green Purple\nBlue Blue Brown Green Orange Red Pink Black Gray\nPurple Orange Red Gray Purple Brown Black Brown Gray\nBlue Red Green Red Blue Blue Purple Orange Purple\nPink Brown Green Blue Green Black Green Blue Black\nBlack Blue Orange Black Brown Brown Gray Purple Blue\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Green Pink Brown Gray Brown Blue Pink\nGray Pink Gray Pink Brown Brown Orange Pink Pink\nPink Purple Brown Yellow Blue Orange Orange Pink Gray\nBlue Red Pink Brown Red Purple Orange Blue Orange\nYellow Purple Green Gray Orange Red Pink Green Green\nBrown Orange Purple Purple Yellow Blue Green Red Purple\nPurple Brown Orange Brown Yellow Blue Pink Blue Yellow\nGray Gray Red Purple Blue Red Yellow Orange Blue\nGray Purple Orange Green Purple Green Pink Red 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```\nGray Red Green Gray Brown Red Brown Blue Gray\nRed Gray Red Gray Brown Brown Orange Gray Gray\nGray Purple Brown Black Blue Orange Orange Gray Red\nBlue Pink Gray Brown Pink Purple Orange Blue Orange\nBlack Purple Green Red Orange Pink Gray Green Green\nBrown Orange Purple Purple Black Blue Green Pink Purple\nPurple Brown Orange Brown Black Blue Gray Blue Black\nRed Red Pink Purple Blue Pink Black Orange Blue\nRed Purple Orange Green Purple Green Gray Pink Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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\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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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\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 Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black 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 Black Black Black Gray Gray Gray 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 Gray Gray Gray Gray\nBlack Black Black Black Black 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 Black Black Black Gray Gray Gray Gray Gray Pink Pink Gray Pink Pink Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Pink Gray Pink Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Pink Pink Gray Pink Pink Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink 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 Gray Gray Gray Gray\nBlack Black Black Black Black 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 Black Black Black Gray Gray Gray 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 Gray Gray Gray Gray\nBlack Black Black Black Black 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 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\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 Pink Pink Pink Black Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Pink 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Red Red Red Red\nPink Gray Gray Blue Blue Orange Purple\nPink Brown Gray Gray Orange Orange Purple\nPink Yellow Red Red Brown Purple Purple\nPink Gray Blue Red Brown Brown Purple\nPink Pink Gray Red Purple Orange Purple\nPink Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Pink Red Red Red Red Red Red Red\nPurple Orange Purple Red Gray Pink Pink Pink Gray Gray Blue Blue Orange Purple\nPurple Brown Brown Red Blue Gray Pink Pink Brown Gray Gray Orange Orange Purple\nPurple Purple Brown Red Red Yellow Pink Pink Yellow Red Red Brown Purple Purple\nPurple Orange Orange Gray Gray Brown Pink Pink Gray Blue Red Brown Brown Purple\nPurple Orange Blue Blue Gray Gray Pink Pink Pink Gray Red Purple Orange Purple\nRed Red Red Red Red Red Red Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Red Red Purple Purple Purple Purple Purple Brown\nBrown Pink Gray Yellow Brown Gray Red Red Orange Orange Purple Brown Orange Brown\nBrown Gray Blue Red Gray Gray Red Red Blue Orange Brown Brown Purple Brown\nBrown Red Red Red Gray Blue Red Red Blue Gray Red Red Red Brown\nBrown Purple Brown Brown Orange Blue Red Red Gray Gray Red Blue Gray Brown\nBrown Orange Brown Purple Orange Orange Red Red Gray Brown Yellow Gray Pink Brown\nBrown Purple Purple Purple Purple Purple Red Red Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange\nBlue Pink Blue Pink Yellow\nBlue Blue Blue Blue Yellow\nBlue Purple Yellow Purple Yellow\nBlue Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Blue Orange Orange Orange Orange Orange\nYellow Purple Yellow Purple Blue Blue Pink Blue Pink Yellow\nYellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow\nYellow Pink Blue Pink Blue Blue Purple Yellow Purple Yellow\nOrange Orange Orange Orange Orange Blue Brown Brown Brown Brown\nBlue Blue Blue Blue Orange Orange Yellow Yellow Yellow Brown\nBrown Purple Blue Pink Orange Orange Pink Blue Purple Brown\nBrown Yellow Blue Blue Orange Orange Blue Blue Yellow Brown\nBrown Purple Blue Pink Orange Orange Pink Blue Purple Brown\nBrown Yellow Yellow Yellow Orange Orange Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue\nRed Orange Orange Blue Brown\nRed Orange Orange Blue Brown\nRed Blue Blue Pink Brown\nRed Green Green Green Green\n\nOutput:\nGreen Green Green Green Red Blue Blue Blue Blue Blue\nBrown Pink Blue Blue Red Red Orange Orange Blue Brown\nBrown Blue Orange Orange Red Red Orange Orange Blue Brown\nBrown Blue Orange Orange Red Red Blue Blue Pink Brown\nBlue Blue Blue Blue Blue Red Green Green Green Green\nRed Red Red Red Blue Blue Brown Brown Brown Green\nGreen Blue Orange Orange Blue Blue Blue Blue Pink Green\nGreen Blue Orange Orange Blue Blue Orange Orange Blue Green\nGreen Pink Blue Blue Blue Blue Orange Orange Blue Green\nGreen Brown Brown Brown Blue Blue Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink\nBlue Brown Yellow Yellow Yellow Brown\nBlue Gray Orange Yellow Yellow Brown\nBlue Green Red Orange Yellow Brown\nBlue Green Green Gray Brown Brown\nBlue Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Blue Pink Pink Pink Pink Pink Pink\nBrown Brown Gray Green Green Blue Blue Brown Yellow Yellow Yellow Brown\nBrown Yellow Orange Red Green Blue Blue Gray Orange Yellow Yellow Brown\nBrown Yellow Yellow Orange Gray Blue Blue Green Red Orange Yellow Brown\nBrown Yellow Yellow Yellow Brown Blue Blue Green Green Gray Brown Brown\nPink Pink Pink Pink Pink Pink Blue Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Pink Pink Brown Brown Brown Brown Yellow\nYellow Green Green Gray Brown Pink Pink Yellow Yellow Yellow Brown Yellow\nYellow Green Red Orange Yellow Pink Pink Yellow Yellow Orange Gray Yellow\nYellow Gray Orange Yellow Yellow Pink Pink Yellow Orange Red Green Yellow\nYellow Brown Yellow Yellow Yellow Pink Pink Brown Gray Green Green Yellow\nYellow Brown Brown Brown Brown Pink Pink Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow 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\nYellow Yellow Yellow 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\nYellow Yellow Yellow 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 Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange 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 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 Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\n\nOutput:\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\n\n\nExample 2\nInput:\nPurple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\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 Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray 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 Black Gray Gray 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 Black Gray Gray 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 Black 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 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 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple\nPurple Purple Purple\nPurple Purple Purple\n\n\nExample 3\nInput:\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nRed Red Red\nRed Red Red\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Red Red Red Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Red Red Red Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown 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 Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange\nOrange Orange Orange\nOrange Orange Orange\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 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\nBlue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple\n\nOutput:\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\n\n\nExample 2\nInput:\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red\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 Green Green\n\nOutput:\nGreen Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red\nGreen Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red\nRed Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green\nRed Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green\nGreen Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red\nGreen Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red\nRed Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green\nRed Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green\nGreen Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red\nGreen Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red\nRed Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green\nRed Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green\nGreen Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red\nGreen Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red\nRed Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green\nRed Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green\nGreen Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red\nGreen Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red\nRed Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green\nRed Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green\n\n\nExample 3\nInput:\nBrown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\n\nOutput:\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\n\n\nHere is the input grid for the test example:\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\nBrown Brown Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown\nGray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown\nBrown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray\nBrown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray\nGray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown\nGray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown\nBrown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray\nBrown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray\nGray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown\nGray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown\nBrown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray\nBrown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray\nGray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown\nGray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown\nBrown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray\nBrown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray\nGray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown\nGray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown\nBrown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray\nBrown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green 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\nGreen Green Green 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\nGreen Green Green 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\n\nExample 3\nInput:\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black 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 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 Blue Blue Blue\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\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\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\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\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\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black\nBlack Black Green Green Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black\nBlack Black Green Black Green Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Green Black Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack 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\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 Blue 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\nYellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Black Red\nBlack Black Black Black Black Black Black Red Black Red\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Red Black Red Black\nBlack Black Black Black Black Black Red Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black 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 Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black 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 Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black 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 Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Yellow Gray Black Orange Black Black Yellow\nBlack Black Brown Black Black Gray Black Black\nRed Black Black Black Black Blue Black Black\nBlack Orange Purple Black Yellow Black Black Black\nBlack Purple Blue Black Black Black Yellow Black\nBlack Green Yellow Brown Black Black Black Black\nBlack Black Yellow Yellow Black Black Orange Purple\nBlack Black Red Black Red Black Purple Blue\nBlack Black Blue Black Yellow Black Black Black\nBlack Black Black Green Orange Black Brown Gray\nBlue Purple Black Black Orange Black Yellow Black\nBlack Black Black Purple Orange Pink Red Black\nBlack Brown Black Black Black Black Black Black\nPurple Black Black Black Black Pink Pink Red\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Blue Blue Black Black Black\nBlack Black Purple Black Black Black Green Black\nYellow Black Black Black Black Red Black Black\n\nOutput:\nPink Blue Gray Black Green Black Black Blue\nBlack Black Brown Black Black Gray Black Black\nPink Black Black Black Black Yellow Black Black\nBlack Green Purple Black Blue Black Black Black\nBlack Purple Yellow Black Black Black Blue Black\nBlack Orange Blue Brown Black Black Black Black\nBlack Black Blue Blue Black Black Green Purple\nBlack Black Pink Black Pink Black Purple Yellow\nBlack Black Yellow Black Blue Black Black Black\nBlack Black Black Orange Green Black Brown Gray\nYellow Purple Black Black Green Black Blue Black\nBlack Black Black Purple Green Red Pink Black\nBlack Brown Black Black Black Black Black Black\nPurple Black Black Black Black Red Red Pink\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Yellow Yellow Black Black Black\nBlack Black Purple Black Black Black Orange Black\nBlue Black Black Black Black Pink Black Black\n\n\nExample 2\nInput:\nBlack Black Black Blue Black Black Black Purple Black Black\nGray Black Green Black Black Black Blue Black Black Blue\nBlack Black Black Black Black Black Black Black Gray Black\nPurple Green Black Black Black Black Black Black Black Black\nBlack Pink 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 Yellow Black Black Black Purple Black Black\nGray Black Orange Black Black Black Yellow Black Black Yellow\nBlack Black Black Black Black Black Black Black Gray Black\nPurple Orange Black Black Black Black Black Black Black Black\nBlack Red Black Yellow Black Black Black Black Black Black\nBlack Black Black Blue Black Black Brown Black Black Black\nBlack Black Black Black Black Green Brown Black Purple Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Brown Black Black Green\nBlack Black Black Green Pink Black Gray Yellow Black Orange Blue\nGreen Black Gray Brown Black Black Black Orange Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Blue Black Gray Black Black Black Blue\nBlue Black Black Pink Black Black Black Black Green Black Black\nBrown Black Black Pink Black Black Green Black Pink Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Brown Black Black Orange\nBlack Black Black Orange Red Black Gray Blue Black Green Yellow\nOrange Black Gray Brown Black Black Black Green Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Yellow Black Gray Black Black Black Yellow\nYellow Black Black Red Black Black Black Black Orange Black Black\nBrown Black Black Red Black Black Orange Black Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Purple Pink Gray Black Black Purple Black Black\nGreen Black Black Blue Black Black Black Black Orange\nOrange Brown Orange Black Black Gray Black Black Black\nYellow Yellow Green Black Green Black Black Brown Brown\nBlack Black Black Black Red Gray Gray Orange Gray\nOrange Black Black Black Black Black Blue Green Black\nBlack Purple Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Pink Black Yellow\nBlack Pink Black 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```\nRed Purple Red Gray Black Black Purple Black Black\nOrange Black Black Yellow Black Black Black Black Green\nGreen Brown Green Black Black Gray Black Black Black\nBlue Blue Orange Black Orange Black Black Brown Brown\nBlack Black Black Black Pink Gray Gray Green Gray\nGreen Black Black Black Black Black Yellow Orange Black\nBlack Purple Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Red Black Blue\nBlack Red Black Green Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Orange Orange Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Orange Orange Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Orange Orange Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Orange Orange Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Gray Gray Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Gray Gray Green Green\n\nOutput:\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black\nPink Pink Black Black Black Black Purple Purple Black Black Black Black\nPink Pink Black Black Black Black Purple Purple Black Black Black Black\nPink Pink Pink Pink Pink Pink Purple Purple Black Black Black Black\nPink Pink Pink Pink Pink Pink Purple Purple Black Black Black Black\nBlack Black Black Black Gray Gray Green Green Green Green Green Green\nBlack Black Black Black Gray Gray Green Green Green Green Green Green\nBlack Black Black Black Gray Gray Black Black Black Black Green Green\nBlack Black Black Black Gray Gray Black Black Black Black Green Green\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Green Green Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Green Green Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Gray Gray Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Gray Gray Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Orange Orange Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown\nGreen Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Brown Brown Black Black Black Black\nGreen Green Green Green Green Green Brown Brown Black Black Black Black\nGray Gray Gray Gray Gray Gray Yellow Yellow Black Black Black Black\nGray Gray Gray Gray Gray Gray Yellow Yellow Black Black Black Black\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Red Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Orange Orange Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Orange Orange Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Orange Orange Black Black Black Black\n\nOutput:\nRed Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Purple Purple Purple Purple\nBlack Black Pink Pink Pink Pink Black Black Purple Purple Purple Purple\nBlack Black Black Black Pink Pink Purple Purple Purple Purple Black Black\nBlack Black Black Black Pink Pink Purple Purple Purple Purple Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Orange Orange Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Orange Orange Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Orange Orange Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Orange Orange Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Orange Orange Blue Blue Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Orange Orange Blue Blue Black Black Black Black Black Black Black Black Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Purple Purple Orange Orange 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 Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black\nBlack Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black\nBlack Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black\nBlack Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple\nGray Gray Black Black Black Black Black Black Black Black Purple Purple\nGray Gray Black Black Black Black Black Black Black Black Purple Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Purple Orange Black Pink\nOrange Black Green Pink Black Orange Purple\nBlack Black Black Yellow Pink Purple Purple\nBlack Orange Yellow Green Yellow Black Red\nGray Black Blue Yellow Purple Black Black\nBlack Black Purple Black Green Black Black\nPink Black Black Black Black Black Orange\n\nOutput:\nBlack Black Black Purple Orange Black Pink\nOrange Black Green Pink Black Orange Purple\nBlack Black Black Black Pink Purple Purple\nBlack Orange Black Green Black Black Red\nGray Black Blue Black Purple Black Black\nBlack Black Purple Black Green Black Black\nPink Black Black Black Black Black Orange\n\n\nExample 2\nInput:\nBlue Black Black Black Black Gray Black\nOrange Black Black Orange Black Black Purple\nBlack Black Red Green Gray Black Gray\nBlack Purple Green Pink Green Purple Black\nBlack Yellow Black Green Purple Black Black\nBlack Black Black Yellow Blue Black Red\nBlack Black Pink Black Yellow Black Black\n\nOutput:\nBlue Black Black Black Black Gray Black\nOrange Black Black Orange Black Black Purple\nBlack Black Red Black Gray Black Gray\nBlack Purple Black Pink Black Purple Black\nBlack Yellow Black Black Purple Black Black\nBlack Black Black Yellow Blue Black Red\nBlack Black Pink Black Yellow Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Gray Black\nBlack Yellow Brown Brown Black Brown Black\nPurple Black Black Green Black Black Blue\nBlack Pink Green Black Green Black Pink\nPurple Gray Black Green Black Gray Blue\nBlack Brown Yellow Gray Black Black Pink\nOrange Black Black Black Black Brown Blue\n\nOutput:\nBlack Black Black Black Black Gray Black\nBlack Yellow Brown Brown Black Brown Black\nPurple Black Black Black Black Black Blue\nBlack Pink Black Black Black Black Pink\nPurple Gray Black Black Black Gray Blue\nBlack Brown Yellow Gray Black Black Pink\nOrange Black Black Black Black Brown Blue\n\n\nHere is the input grid for the test example:\nInput:\nPink Yellow Blue Green Black Pink Black\nBlue Black Black Black Black Black Red\nBlack Brown Black Gray Black Green Red\nBlack Brown Gray Black Gray Brown Blue\nBlack Black Blue Gray Black Orange Black\nYellow Brown Black Purple Black Black Pink\nBlack Blue Black Black Black Pink Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Yellow Blue Green Black Pink Black\nBlue Black Black Black Black Black Red\nBlack Brown Black Black Black Green Red\nBlack Brown Black Black Black Brown Blue\nBlack Black Blue Black Black Orange Black\nYellow Brown Black Purple Black Black Pink\nBlack Blue Black Black Black Pink Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple\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 Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange\nBlack Black Black 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\nGray Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Gray Gray Gray\nBlack Black Black Black Gray Gray Gray\nBlack Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPink Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown\nBrown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown\nBrown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown\nBrown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown\nBrown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown\nBrown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown\nBrown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown\nBrown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown\nBrown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown\nBrown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown\nBrown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown\nBrown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray Gray Gray Gray 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:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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\nGray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Gray Gray Black Black Gray Gray Black Gray Gray\nBlack Gray Gray Black Black Gray Gray Black Gray Black\nBlack Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Gray Gray Gray Black Black Gray Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\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 Gray Gray Black Black Black Gray Gray Gray Black\nGray Gray Gray Black Black Black Gray Gray Gray Black\nGray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black 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 Gray Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray 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 Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Yellow Black Black\nBlack Black Black Yellow Black\nBlack Yellow Black Yellow Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Yellow Yellow Black\nBlack Yellow Black Black Black\nBlack Black Black Yellow Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Green Green Black\nBlack Black Green Green Black\nBlack Black Green Green Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Green Green Green Black\nBlack Green Green Green Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Green Green Black Black\nBlack Green Green Green Black\nBlack Green Black Green Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Green Green Black\nBlack Green Green Black Black\nBlack Green Green Green Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Gray Black Black Black\nBlack Gray Gray Gray Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Black Gray Black Black\nBlack Black Gray Black Black\nBlack Gray Gray Black Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Blue Yellow Black Black Black Green Black\nYellow Blue Yellow Blue Blue Blue Green Pink\nPink Green Pink Black Black Blue Green Green\nPink Green Pink Black Pink Blue Blue Green\nYellow Green Black Green Pink Blue Blue Yellow\nYellow Blue Green Green Green Blue Blue Black\nGreen Blue Black Green Green Green Yellow Yellow\nBlack Blue Black Blue Blue Blue Black Black\n\nOutput:\nBrown Orange Brown Black Black Black Yellow Black\nBrown Orange Brown Orange Orange Orange Yellow Gray\nGray Yellow Gray Black Black Orange Yellow Yellow\nGray Yellow Gray Black Gray Orange Orange Yellow\nBrown Yellow Black Yellow Gray Orange Orange Brown\nBrown Orange Yellow Yellow Yellow Orange Orange Black\nYellow Orange Black Yellow Yellow Yellow Brown Brown\nBlack Orange Black Orange Orange Orange Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nPink Pink Blue Blue Blue Blue Pink\nBlack Black Black Green Yellow Black Green\nBlack Black Black Green Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Blue Black Blue Green\nBlack Blue Blue Blue Blue Black Green\n\nOutput:\nBlack Black Black Black Black Black Black\nGray Gray Orange Orange Orange Orange Gray\nBlack Black Black Yellow Brown Black Yellow\nBlack Black Black Yellow Brown Black Black\nBlack Black Black Black Black Black Black\nBlack Black Orange Orange Black Orange Yellow\nBlack Orange Orange Orange Orange Black Yellow\n\n\nExample 3\nInput:\nPink Green Black Black Yellow Green Green Blue Black\nPink Green Green Black Yellow Pink Green Green Black\nPink Black Black Black Blue Pink Green Green Black\nGreen Black Green Blue Blue Blue Yellow Yellow Black\nGreen Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Black Black Green Green Black\nBlack Black Black Black Blue Black Black Black Black\n\nOutput:\nGray Yellow Black Black Brown Yellow Yellow Orange Black\nGray Yellow Yellow Black Brown Gray Yellow Yellow Black\nGray Black Black Black Orange Gray Yellow Yellow Black\nYellow Black Yellow Orange Orange Orange Brown Brown Black\nYellow Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Black Black Yellow Yellow Black\nBlack Black Black Black Orange Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Black Black Black Black Yellow Black Black\nBlack Blue Black Black Black Black Yellow Black Black\nBlack Blue Blue Blue Black Blue Black Black Black\nBlack Black Blue Black Black Green Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Blue Black Yellow Pink Yellow Blue Blue Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Green Blue Blue Blue Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Orange Black Black Black Black Brown Black Black\nBlack Orange Black Black Black Black Brown Black Black\nBlack Orange Orange Orange Black Orange Black Black Black\nBlack Black Orange Black Black Yellow Orange Orange Black\nBlack Black Black Black Black Black Orange Orange Black\nBlack Orange Black Brown Gray Brown Orange Orange Black\nBlack Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Orange Orange Orange Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow 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 Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Pink Black Black Black Black Black\nBlack Black Yellow Yellow Black Pink Black Black Black Black Black\nBlack Black Yellow Yellow Black Pink Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Blue Black Black Black Black Black\nBlack Black Yellow Yellow Black Blue Black Black Black Black Black\nBlack Black Yellow Yellow Black Blue Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Green Green Pink Pink Black Black\nBlack Black Black Pink Green Green Pink Pink Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Black Black Black Yellow\nBlack Blue Black Black Black Yellow\nBlack Blue Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Pink Pink 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 Blue Black Black Black Blue\nBlack Blue Black Black Black Blue\nBlack Blue Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Pink Pink 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:\nGreen Black Black Black Black Black Black Black Black Black\nGreen Green 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 Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\nGreen Green Green Black Black Green Green Black Black Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Green 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 Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlue Black Black Black Black Black Red Black Black Black\nBlue Black Black Black Black Black Red Black Black Black\nBlue 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 Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nGreen Black Black Black Black Green Green Green Black Black\nGreen Black Black Black Black Green Green Green Black Black\nGreen 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 Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black\nBlack Black Black Blue Red Black Blue Black\nGreen Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Blue Black\nBlack Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Red Black\nBlack Black Blue Black Black Red Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black\nBlack Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Black Black Pink Yellow Black Pink Black\nOrange Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Pink Black\nBlack Black Black Black Black Black Yellow Orange\nBlack Black Black Black Black Black Yellow Orange\nBlack Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Yellow Black\nBlack Black Pink Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black\nBlack Pink Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Green Black Red Black Black\nBlack Black Black Black Black Black Red Black Red Black\nBlack Black Black Black Black Red Black Black Blue Black\nBlack Red Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Orange Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Pink Black\nBlack Yellow Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Red Blue Black Black Black\nBlack Black Black Green Black Black Black Black Black Blue Black\nBlack Black Blue Black Black Black Green Black Black Black Black\nBlack Black Black Black Green Black Blue Black Black Black Red\nBlack Black Red Black Black Blue Black Black Black Black Blue\nBlack Red Black Black Black Black Blue Green Blue Red Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Black Black Black Black Black Yellow Pink Black Black Black\nBlack Black Black Orange Black Black Black Black Black Pink Black\nBlack Black Pink Black Black Black Orange Black Black Black Black\nBlack Black Black Black Orange Black Pink Black Black Black Yellow\nBlack Black Yellow Black Black Pink Black Black Black Black Pink\nBlack Yellow Black Black Black Black Pink Orange Pink Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Green Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Red\nBlack Black Black Black Green Blue Black Black Green\nBlack Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Orange Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Yellow\nBlack Black Black Black Orange Pink Black Black Orange\nBlack Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 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 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 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 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 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 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Yellow\nBlack Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black\nBlack Red Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue\nBlack Red Black Black Black Black Red 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 Green Black Black Black Green\nBlack Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black\nBlack Orange Black Black Black Green Black Black\nBlack Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple\nBlack Orange Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Red\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Black Black Yellow\nBlack Black Yellow Black Yellow Blue Black\nBlack Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Black Purple Black\nBlack Black Black Black Black Black Green\nBlack Black Green Black Green Purple Black\nBlack Purple Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black\nBlack Black Yellow 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 Yellow Black Black Black Black Yellow\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Black Red Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Green Black Black Black Black Green\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Green Black Black Black Black Black\nBlack Black Black Orange 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 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 Yellow Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red 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 Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Orange Purple Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Red Black\nBlack Black Black Green Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Red Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Black Black Black Black Black Blue Black\nBlack Black Black Yellow Orange Yellow Black Black Black Blue Pink Blue\nBlack Black Yellow Orange Yellow Black Blue Black Black Gray Blue Black\nBlack Black Black Yellow Black Blue Pink Blue Black Black Gray Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Gray\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Pink Blue Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Yellow Black Black\nBlack Black Black Red Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Red Blue Red Red Black Yellow\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nPink Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Gray Black Blue Black Black Black Gray Black Black\nBlack Black Blue Pink Blue Black Yellow Black Gray Black\nBlack Black Black Blue Blue Yellow Blue Yellow Black Black\nBlack Black Black Blue Pink Blue Yellow Blue Blue Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Green Black Black Green Black Black Blue\nBlack Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Red Black\nBlack Black Black Yellow Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Orange Yellow Yellow Orange Yellow Black Gray\nBlack Black Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray\nBlack Yellow Black Black Black Black Black Black Black Black Black\nYellow Orange Yellow Black Black Black Black Black Black Blue Black\nBlack Yellow Pink Blue Black Black Black Black Blue Pink Blue\nBlack Black Blue Gray Black Black Black Black Black Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Red Black Blue\nBlack Black Black Yellow Black Green Black Yellow Black\nBlack Black Black Black Blue Yellow Black Black Green\nGreen Black Black Black Black Red Black Black Black\nBlue Black Black Black Black Black Black Black Black\nBlack Black Red Black Blue Black Black Black Black\nBlack Black Black Black Black Red 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```\nOrange Yellow Black Black Black Yellow Blue Yellow Black\nYellow Black Black Black Black Blue Yellow Blue Gray\nBlack Black Black Gray Yellow Orange Blue Gray Yellow\nYellow Black Black Black Gray Yellow Black Yellow Orange\nOrange Yellow Black Black Blue Pink Blue Black Yellow\nYellow Black Blue Black Black Blue Black Black Black\nBlack Blue Pink Blue Gray Blue Black Black Black\nBlack Black Blue Black Blue Pink Blue Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Black Black Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black\nGreen Black Green Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Blue Black Blue Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Black 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 Gray Black Gray Black Black Black Black\nBlack Black Black Gray Black Gray Black Black Black Black\n\nOutput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlack Blue 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Pink Pink Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Black Black Black\nGreen Green Green Green Green Green Green Blue Blue Blue Black Black Black\nGreen Green Green Green Green Green Green Blue Blue Blue Black Black Black\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue\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 Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Orange Orange Blue Blue Blue Blue Black Black Black Black Black\nBlack Orange Orange Blue Blue Blue Blue Black Black Black Black Black\nBlack Orange Orange Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Red Red Red Red Black\nBlack Black Black Blue Blue Blue Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nGreen Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nGreen Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nGreen Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nGreen Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nGreen Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nGreen Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nGreen Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Purple Purple Black Black Black\nBlack Black Black Black Black Red Red Purple Purple Black Black Black\nBlack Black Black Black Black Red Red Purple Purple Black Black Black\nBlack Black Black Black Black Red Red Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Black Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Black Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Black Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Black Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Black Black Black Black Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Black Black Black Black Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Blue Blue Blue Black Black Black Blue\nGreen Green Green Black Black Black Green Black Black Blue Black Black Black Blue\nGreen Green Green Black Black Black Green Black Black Blue Blue Blue Blue Blue\nGreen Green Green Black Black Black Green Black Black Blue Blue Blue Blue Blue\nGreen Green Green Black Black Black Green Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Green 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 Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Green Black Green Green Black Black Black Black Black Black\nBlack Black Green Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Green Black Black Black Black Green Green\nBlack Black Black Black Black Green Black Black Black Black Green Green\nBlack Black Black Black Black Green Green Black Black Black Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow\n\nOutput:\nBlack Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Green Green Black\nBlack Black Green Green Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Green Green Black\nBlack Black Green Green Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Red Red Red Red\nBlack Red Red Red Red\nBlack Red Red Red Red\nBlack Red Red Red Red\n\nOutput:\nBlack Red Red Red Red\nBlack Red Red Red Red\nBlack Red Red Red Red\nBlack Red Red Red Red\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Pink Pink Pink Pink\nBlack Pink Pink Pink Pink\nBlack Pink Pink Pink Pink\nBlack Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Pink Pink Pink\nBlack Pink Pink Pink Pink\nBlack Pink Pink Pink Pink\nBlack Pink Pink Pink Pink\nBlack Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Yellow\nYellow Black Yellow Yellow Yellow Black Yellow\nYellow Black Yellow Yellow Yellow Black Yellow\nYellow Black Yellow Yellow Yellow Black Yellow\nYellow Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown\nBrown Black Black Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Black Black Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Pink\nPink Black Black Pink Pink Pink Black Black Pink\nPink Black Black Pink Pink Pink Black Black Pink\nPink Black Black Pink Pink Pink Black Black Pink\nPink Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Brown Brown Brown Brown Black\nBlack Black Pink Pink Black Black Black Black Brown Black Brown Brown Black Black Brown Brown Black Black\nBlack Black Pink Pink Black Black Black Black Brown Black Brown Brown Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Purple Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Red Red Red Red Red Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Brown Brown Black Brown Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink 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 Brown Brown Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Purple Black Black Black Brown Brown Black Black Black Black Brown Brown Black Black Black Purple Black Black\nBlack Purple Purple Black Black Black Brown Black Brown Brown Brown Brown Black Brown Black Black Black Purple Purple Black\nBlack Black Purple Purple Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Purple Purple 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Black Yellow Yellow Black Black Black Black Yellow Yellow Black Red Black Black Black Black\nBlack Black Black Black Red Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Red Red Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Red Red Black Red Red Red Red Black Red Red Brown Brown Brown Brown Black\nBlack Black Black Black Black Red Red Black Red Red Red Red Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Gray Gray Black Pink Black Black Black Black Black Black Black Black Pink Black Gray Gray Black Black\nBlack Black Gray Gray Pink Pink Black Black Black Black Black Black Black Black Pink Pink Gray Gray Black Black\nBlack Black Gray Gray Pink Black Black Black Black Black Black Black Black Black Black Pink Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Brown Black Black Black Black Black Black Brown Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Brown Black Black Black Black Black Black Brown Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Orange Orange Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Orange Orange Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Orange Orange Black\nBlack Black Black Purple Purple Purple Green Green Green Green Green Orange Orange Black\nBlack Black Black Purple Black Purple Black Black Green Green Green Orange Orange Black\nBlack Black Black Purple Black Purple Black Black Green Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Green Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Blue Blue Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Black Blue Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Black Blue Black Black Blue Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Orange Black Orange Black Black Black\nBlack Orange Orange Orange Red Red Black\nBlack Orange Orange Orange Red Red Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Blue Black Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black\nBlack Red Red Black Black Black Yellow Yellow Black\nBlack Red Red Black Black Black Yellow Black Black\nBlack Red Red Black Black Black Yellow 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\n\nOutput:\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Blue Blue Black Black Black Blue Blue Black\nBlack Blue Blue Black Black Black Blue Black Black\nBlack Blue Blue Black Black Black Blue Black Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Gray Gray Gray Blue Black Black Black Gray\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Blue Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\n\nOutput:\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Brown\nBlack Black Black Blue Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Brown Brown\nBlack Yellow Yellow Black Blue Black Black Black Black Brown\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Black Black Yellow Black Black Orange Black Orange Black\nBlack Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Orange Black Orange Black\n\nOutput:\nPurple Black\nPurple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Purple Purple Black Black Yellow Yellow Yellow Black\nBlack Black Purple Purple Purple Black Yellow Black Yellow Black\nBlack Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Black Black\nBlue Pink Pink Pink Pink Black Pink Pink Black Black\nBlack Pink Pink Pink Pink Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Black\nPurple Purple Purple\nBlack Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Pink Pink Blue Black Black Blue\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nOrange Orange\nOrange 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:\nBrown Green Red Brown Brown Green Red Brown Brown Green Red Brown\nBrown Green Orange Blue Brown Green Orange Blue Brown Green Orange Blue\nPink Blue Blue Blue Pink Blue Blue Blue Pink Blue Blue Blue\nPink Blue Blue Gray Pink Black Black Black Pink Blue Blue Gray\nOrange Gray Blue Blue Orange Black Black Black Orange Gray Blue Blue\nBrown Green Red Brown Brown Green Red Brown Brown Green Red Brown\nBrown Green Orange Blue Brown Green Orange Blue Brown Green Orange Blue\nPink Blue Blue Blue Pink Blue Blue Blue Pink Blue Blue Blue\nPink Blue Blue Gray Pink Blue Blue Gray Pink Blue Blue Gray\nOrange Gray Blue Blue Orange Gray Blue Blue Orange Gray Blue Blue\nBrown Green Red Brown Brown Green Red Brown Brown Green Red Brown\nBrown Green Orange Blue Brown Green Orange Blue Brown Green Orange Blue\nPink Blue Blue Blue Pink Blue Blue Blue Pink Blue Blue Blue\nPink Blue Blue Gray Pink Blue Blue Gray Pink Blue Blue Gray\nOrange Gray Blue Blue Orange Gray Blue Blue Orange Gray Blue Blue\n\nOutput:\nBrown Green Red Brown Brown Green Red Brown Brown Green Red Brown\nBrown Green Orange Blue Brown Green Orange Blue Brown Green Orange Blue\nPink Blue Blue Blue Pink Blue Blue Blue Pink Blue Blue Blue\nPink Blue Blue Gray Pink Purple Purple Purple Pink Blue Blue Gray\nOrange Gray Blue Blue Orange Purple Purple Purple Orange Gray Blue Blue\nBrown Green Red Brown Brown Green Red Brown Brown Green Red Brown\nBrown Green Orange Blue Brown Green Orange Blue Brown Green Orange Blue\nPink Blue Blue Blue Pink Blue Blue Blue Pink Blue Blue Blue\nPink Blue Blue Gray Pink Blue Blue Gray Pink Blue Blue Gray\nOrange Gray Blue Blue Orange Gray Blue Blue Orange Gray Blue Blue\nBrown Green Red Brown Brown Green Red Brown Brown Green Red Brown\nBrown Green Orange Blue Brown Green Orange Blue Brown Green Orange Blue\nPink Blue Blue Blue Pink Blue Blue Blue Pink Blue Blue Blue\nPink Blue Blue Gray Pink Blue Blue Gray Pink Blue Blue Gray\nOrange Gray Blue Blue Orange Gray Blue Blue Orange Gray Blue Blue\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Blue Orange Orange Orange Orange Blue Orange Orange\nRed Orange Orange Orange Red Red Orange Orange Orange Red\nRed Orange Green Orange Red Red Orange Green Orange Red\nOrange Orange Orange Black Black Black Orange Orange Orange Orange\nOrange Orange Blue Black Black Black Orange Blue Orange Orange\nRed Orange Orange Orange Red Red Orange Orange Orange Red\nRed Orange Green Orange Red Red Orange Green Orange Red\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Blue Orange Orange Orange Orange Blue Orange Orange\nRed Orange Orange Orange Red Red Orange Orange Orange Red\nRed Orange Green Orange Red Red Orange Green Orange Red\nOrange Orange Orange Purple Purple Purple Orange Orange Orange Orange\nOrange Orange Blue Purple Purple Purple Orange Blue Orange Orange\nRed Orange Orange Orange Red Red Orange Orange Orange Red\nRed Orange Green Orange Red Red Orange Green Orange Red\n\n\nExample 3\nInput:\nOrange Purple Red Gray Pink Orange Purple Red Gray Pink\nBrown Brown Red Blue Gray Brown Brown Red Blue Gray\nPurple Brown Red Red Yellow Purple Brown Red Red Yellow\nOrange Orange Gray Gray Brown Orange Orange Gray Gray Brown\nOrange Blue Blue Gray Gray Orange Blue Blue Gray Gray\nOrange Purple Red Gray Pink Orange Purple Black Black Black\nBrown Brown Red Blue Gray Brown Brown Black Black Black\nPurple Brown Red Red Yellow Purple Brown Black Black Black\nOrange Orange Gray Gray Brown Orange Orange Gray Gray Brown\nOrange Blue Blue Gray Gray Orange Blue Blue Gray Gray\n\nOutput:\nOrange Purple Red Gray Pink Orange Purple Red Gray Pink\nBrown Brown Red Blue Gray Brown Brown Red Blue Gray\nPurple Brown Red Red Yellow Purple Brown Red Red Yellow\nOrange Orange Gray Gray Brown Orange Orange Gray Gray Brown\nOrange Blue Blue Gray Gray Orange Blue Blue Gray Gray\nOrange Purple Red Gray Pink Orange Purple Purple Purple Purple\nBrown Brown Red Blue Gray Brown Brown Purple Purple Purple\nPurple Brown Red Red Yellow Purple Brown Purple Purple Purple\nOrange Orange Gray Gray Brown Orange Orange Gray Gray Brown\nOrange Blue Blue Gray Gray Orange Blue Blue Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Blue Pink Pink Blue Pink Pink Blue Pink\nPurple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nBlue Blue Blue Blue Black Black Blue Blue Blue\nPink Blue Pink Pink Black Black Pink Blue Pink\nPurple Yellow Purple Purple Black Black Purple Yellow Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Blue Pink Pink Blue Pink Pink Blue Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Blue Pink Pink Blue Pink Pink Blue Pink\nPurple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nBlue Blue Blue Blue Purple Purple Blue Blue Blue\nPink Blue Pink Pink Purple Purple Pink Blue Pink\nPurple Yellow Purple Purple Purple Purple Purple Yellow Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Blue Pink Pink Blue Pink Pink Blue Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nRed Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Red\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Red Black Yellow Yellow Yellow Yellow Yellow Black Red Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\n\nOutput:\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red\nRed Red Red Red Red Red\n\n\nExample 2\nInput:\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\n\nOutput:\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\n\nOutput:\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nGray Gray Black Black Gray Gray\nGray Gray Black Black Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange\nOrange 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 Gray Gray Gray Black Black Black Gray Yellow Yellow Black Black Black Black Black\nBlack Black Gray Gray Green Black Black Black Gray Gray Yellow Black Black Black Black Black\nBlack Black Gray Green Green Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Yellow Yellow Gray\nBlack Black Black Black Black Black Black Brown Gray Gray Black Black Black Yellow Gray Gray\nBlack Gray Gray Gray Black Black Black Brown Brown Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Orange Orange Gray Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Orange Gray Gray Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Gray Orange Gray Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Gray Purple Gray Black Black Black Black Black Black Black Black Black Gray Gray Red\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Red\n\nOutput:\nGray Gray Gray Gray Purple Gray Gray Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Red\nYellow Gray Gray Gray Gray Gray Gray Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Gray Gray Gray Orange Gray Gray Gray Green\nBrown Brown Gray Orange Orange Orange Gray Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Gray Gray Gray Black Gray Gray Yellow Black Gray Green Gray Black Black\nBlack Black Gray Gray Gray Black Gray Yellow Yellow Black Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Black Gray Gray Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Purple Purple Gray Black Black Black\nBlack Black Black Gray Yellow Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Gray Gray Black Black Black\nBlack Black Green Green Gray Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Green Gray Gray Black Gray Blue Blue Black Black Black Gray Gray Green\nBlack Black Gray Gray Gray Black Gray Gray Blue Black Black Black Gray Green Green\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Green Gray Gray Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Yellow\nOrange Gray Gray Gray Gray Gray Gray Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Gray Gray Gray Yellow Gray Gray Gray Green\nPurple Purple Gray Yellow Yellow Yellow Gray Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Purple Gray Gray Black Black Black Gray Gray Gray Black\nGray Yellow Yellow Black Black Purple Purple Gray Black Black Black Gray Gray Gray Black\nGray Gray Yellow Black Black Purple Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Brown Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Brown Brown Black Pink Gray Gray Black Gray Gray Gray\nBlack Black Black Black Gray Gray Brown Black Pink Pink Gray Black Gray Yellow Gray\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nGray Blue Gray Black Black Green Green Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Green Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Green Green Black Black\n\nOutput:\nGray Gray Gray Gray Blue Gray Gray Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Brown\nPurple Gray Gray Gray Gray Gray Gray Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Gray Gray Gray Yellow Gray Gray Gray Green\nPink Pink Gray Yellow Yellow Yellow Gray Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Gray Gray Pink Black Black Black Black Black Black\nBlack Black Pink Gray Gray Black Gray Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Gray Black Gray Gray Pink Black Black Pink Pink Gray Black\nBlack Black Pink Gray Gray Black Black Black Black Black Black Pink Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Pink Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Orange Gray Gray Black Black Black Black Gray Orange Gray Black Black Black\nBlack Black Orange Orange Gray Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Red Red\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Red\nBlack Black Black Gray Gray Gray Black Black Gray Gray Gray Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Gray Gray Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Green Green Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Orange Gray Gray Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nOrange Gray Gray Gray Pink Gray Gray Gray Green\nOrange Orange Gray Pink Pink Pink Gray Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Brown Black Gray Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Gray Black\nBlack Black Black Black Black Orange Black Gray Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Blue Black\nBlack Black Black Black Black Black Gray Black Black Black Blue Black Black\nBlack Black Black Black Black Black Gray Black Black Blue Black Black Black\nBlack Black Black Black Gray Black Gray Black Blue Black Black Black Black\nBlack Black Black Black Black Gray Gray Blue Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\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 Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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:\nGray Brown Black Gray Purple Gray Black Blue Brown Gray\nBlack Black Blue Brown Black Yellow Purple Purple Blue Purple\nPurple Yellow Yellow Yellow Yellow Purple Brown Yellow Blue Yellow\nBrown Yellow Brown Black Brown Purple Black Brown Blue Blue\nBrown Black Black Purple Black Yellow Black Black Black Black\nBlue Blue Brown Brown Brown Black Yellow Black Black Gray\nBlack Gray Gray Gray Brown Blue Yellow Black Purple Blue\nYellow Brown Black Purple Black Black Black Yellow Black Black\nPurple Purple Black Black Purple Purple Blue Black Black Purple\nBrown Blue Blue Black Blue Black Gray Gray Purple Black\n\nOutput:\nYellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow\nYellow Black Black Yellow Black Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Black Yellow Black Black Black Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Yellow Black Black Yellow\nYellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Black\n\n\nExample 2\nInput:\nOrange Pink Orange Black Orange Black Purple Orange Black Gray\nGreen Black Green Purple Black Green Black Black Purple Black\nPurple Green Black Pink Black Purple Black Pink Black Orange\nBlack Black Purple Black Green Purple Black Black Green Green\nGray Green Orange Orange Black Black Gray Green Orange Gray\nBlack Black Orange Black Black Orange Black Black Black Green\nBlack Pink Black Green Purple Orange Orange Black Black Black\nGray Pink Pink Gray Pink Black Gray Black Black Black\nPink Black Orange Black Purple Gray Black Orange Black Green\nOrange Black Black Orange Orange Black Pink Purple Black Pink\n\nOutput:\nYellow Yellow Yellow Black Yellow Black Yellow Yellow Black Yellow\nYellow Black Yellow Yellow Black Yellow Black Black Yellow Black\nYellow Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nBlack Black Yellow Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Black Yellow Black Black Black Yellow\nBlack Yellow Black Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black\nYellow Black Yellow Black Yellow Yellow Black Yellow Black Yellow\nYellow Black Black Yellow Yellow Black Yellow Yellow Black Yellow\n\n\nExample 3\nInput:\nGray Blue Gray Black Green Gray Black Black Yellow Black\nGray Black Black Black Pink Gray Gray Black Gray Black\nGreen Green Green Gray Gray Black Black Gray Black Gray\nYellow Black Black Blue Gray Blue Gray Black Blue Pink\nBlack Pink Black Black Black Gray Pink Green Yellow Black\nBlack Blue Green Gray Black Blue Black Green Black Black\nPink Black Black Black Green Black Gray Black Gray Pink\nBlack Gray Black Pink Green Gray Pink Blue Green Green\nBlack Black Green Black Black Black Black Black Black Blue\nBlack Black Pink Green Gray Pink Blue Gray Yellow Gray\n\nOutput:\nYellow Yellow Yellow Black Yellow Yellow Black Black Yellow Black\nYellow Black Black Black Yellow Yellow Yellow Black Yellow Black\nYellow Yellow Yellow Yellow Yellow Black Black Yellow Black Yellow\nYellow Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow\nBlack Yellow Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Black Yellow Black Yellow Black Black\nYellow Black Black Black Yellow Black Yellow Black Yellow Yellow\nBlack Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Black Black Black Black Black Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nRed Gray Black Gray Red Gray Gray Brown Brown Purple\nPurple Red Red Gray Red Red Black Black Gray Black\nBlue Black Brown Black Black Purple Red Blue Black Blue\nBlack Brown Red Red Black Gray Brown Gray Blue Red\nGray Black Black Red Red Red Black Gray Red Red\nGray Black Black Black Black Brown Purple Red Black Brown\nGray Brown Black Blue Black Black Black Blue Gray Brown\nGray Purple Black Black Purple Red Black Brown Black Purple\nBrown Red Purple Red Gray Purple Black Purple Black Black\nBlack Black Brown Black Black Red Red Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Black\nYellow Black Yellow Black Black Yellow Yellow Yellow Black Yellow\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Black Black Black Black Yellow Yellow Yellow Black Yellow\nYellow Yellow Black Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black\nBlack Black Yellow Black Black Yellow Yellow Black Black Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Purple\nBlack Black Black Black Black\nBlack Black Purple Black Purple\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Orange Black\nBlack Black Black Black Orange Black\nBlack Black Black Orange Orange Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Orange Black Black Orange\nBlack Black Orange Black Black Orange\nBlack Orange Orange Black Orange Orange\nBlack Black Orange Black Black Orange\nBlack Orange Orange Black Orange Orange\nBlack Black Orange Black Black Orange\n\n\nExample 3\nInput:\nBlack Black Pink Pink\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nPink Pink Pink Pink\nBlack Black Black Black\nPink Pink Pink Pink\nBlack Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nPurple Black Purple Black Purple Black Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Black Purple Black Purple Black Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Black Purple Black Purple Black Purple\nPurple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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\nBlue Blue 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\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red 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 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\nRed 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 Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack 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 Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red 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\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black 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 Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black\nBlack Black Black Black Red Black Black Black\nBlack Black Black Black Red 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\nRed Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Red Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nRed Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black 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 Red Red Black\nBlack Black Black Black Black Red Red Black\nBlack Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black\nRed Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Brown Brown Brown Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Brown Brown Black Brown\nBrown Brown Yellow Yellow Brown Brown Brown Brown Black Brown Brown Black\nBrown Brown Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Black Brown Black Brown\nBrown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Brown\nBlack Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Brown Brown Black Brown\nBrown Brown Green Green Brown Brown Brown Brown Black Brown Brown Black\nBrown Brown Green Green Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Black Brown Black Brown\nBrown Brown Brown Brown Brown Brown Brown Black Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Brown\nBlack Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Black\n\n\nExample 2\nInput:\nGreen Brown Brown Brown Black Brown Brown Brown Brown\nBrown Black Brown Brown Brown Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Black Brown Black Brown Black Brown Brown\nBrown Brown Brown Brown Brown Brown Black Brown Brown\nBrown Brown Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Black Brown Black Brown Brown Brown\nBrown Black Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Yellow Yellow Black\nBrown Brown Brown Brown Brown Brown Yellow Yellow Brown\nBrown Black Brown Brown Brown Brown Brown Brown Black\n\nOutput:\nGreen Brown Brown Brown Black Brown Brown Brown Brown\nBrown Black Brown Brown Brown Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Black Brown Black Brown Black Brown Brown\nBrown Brown Brown Brown Brown Brown Black Brown Brown\nBrown Brown Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Black Brown Black Brown Brown Brown\nBrown Black Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Green Green Black\nBrown Brown Brown Brown Brown Brown Green Green Brown\nBrown Black Brown Brown Brown Brown Brown Brown Black\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Orange Yellow Yellow Orange Black Orange\nBlack Orange Orange Orange Yellow Yellow Orange Orange Green\nOrange Orange Orange Orange Orange Orange Orange Black Orange\nOrange Black Orange Black Orange Black Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Black Orange\nBlack Orange Black Orange Orange Orange Orange Orange Orange\nBlack Orange Black Orange Orange Orange Orange Orange Orange\nOrange Orange Black Orange Black Orange Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Orange Green Green Orange Black Orange\nBlack Orange Orange Orange Green Green Orange Orange Green\nOrange Orange Orange Orange Orange Orange Orange Black Orange\nOrange Black Orange Black Orange Black Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Black Orange\nBlack Orange Black Orange Orange Orange Orange Orange Orange\nBlack Orange Black Orange Orange Orange Orange Orange Orange\nOrange Orange Black Orange Black Orange Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Purple Purple Purple Purple Purple Purple Black Purple Purple\nBlack Purple Purple Purple Purple Purple Purple Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple\nPurple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple Black Purple Purple\nPurple Purple Black Purple Purple Purple Purple Purple Green Purple Black\nYellow Yellow Purple Black Black Purple Black Purple Purple Purple Black\nYellow Yellow Purple Purple Purple Purple Purple Purple Purple Black Purple\nBlack Purple Purple Purple Purple Black Purple Purple Black Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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{
"content": "The output grid for the test input grid is:\n\n```\nPurple Black Purple Purple Purple Purple Purple Purple Black Purple Purple\nBlack Purple Purple Purple Purple Purple Purple Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple\nPurple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Black Purple Purple Black Purple Purple\nPurple Purple Black Purple Purple Purple Purple Purple Green Purple Black\nGreen Green Purple Black Black Purple Black Purple Purple Purple Black\nGreen Green Purple Purple Purple Purple Purple Purple Purple Black Purple\nBlack Purple Purple Purple Purple Black Purple Purple Black Purple Purple\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Blue Black Black Black Black Black Black Black\nRed Red Red Red Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack 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\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\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Green Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Blue Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Green Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Blue Blue Blue Blue Blue Black\nBlack 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack 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 Red Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Gray Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Purple Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Gray Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Purple Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Purple Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Pink Pink Orange Orange Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Pink Pink Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Pink Pink Orange Orange Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Pink Pink Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Purple Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Purple Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Red Red Red Red\nBrown Brown Brown Brown Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nPink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue\nPink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue\nPink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue\nPink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Brown Brown Brown Brown Pink Pink Pink Pink\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Brown Brown Brown Brown Pink Pink Pink Pink\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Brown Brown Brown Brown Pink Pink Pink Pink\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Brown Brown Brown Brown Pink Pink Pink Pink\n\nOutput:\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBrown Brown Brown Brown\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Brown Brown Brown Brown Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Brown Brown Brown Brown Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Brown Brown Brown Brown Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Brown Brown Brown Brown Blue Blue Blue Blue Green Green Green Green\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Pink Pink Pink Pink Brown Brown Brown Brown\nBlue Blue Blue Blue Brown Brown Brown Brown Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Brown Brown Brown Brown Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Brown Brown Brown Brown Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Brown Brown Brown Brown Blue Blue Blue Blue Green Green Green Green\n\nOutput:\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nGreen Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\n\nOutput:\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange\nBlue Blue Blue Blue Green Green Green Green Green Green Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Green Green Green Green Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Green Green Green Green Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Green Green Green Green Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Green Green Green Green Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Green Green Green Green Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Green Green Green Green Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Green Green Green Green Green Green Green Green Blue Blue Blue Blue\nOrange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Blue Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Orange Black Black Black Green Yellow Purple Red\nBlack Black Green Orange Pink Black Green Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Pink Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Orange Black Black Black Green Yellow Purple Red\nBlack Black Green Orange Pink Black Green Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Red Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Brown\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 Pink Black Black Black\nPink Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red\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 Pink Black Black Black\nRed Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Purple Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Purple Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Red 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 Purple Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Gray Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Blue Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black 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```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Gray Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Blue Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Brown Brown Gray Gray Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Brown Brown Gray Gray Black Black\nBlack Black Black Black Green Green Black Black Yellow Yellow Black Black Brown Brown Gray Gray Black Black\nBlack Black Black Black Green Green Black Black Yellow Yellow Black Black Brown Brown Gray Gray Black Black\nBlack Black Black Black Green Green Black Black Yellow Yellow Brown Brown Brown Brown Gray Gray Black Black\nBlack Black Black Black Green Green Black Black Yellow Yellow Brown Brown Brown Brown Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nPink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Black Black\nBlack Black Pink Pink Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green 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 Black Black\nBlack Black Black Black Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nBlack Black Black Black Red Red\nBlack Black Black Black Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Blue Blue Blue Blue\nBrown Brown Blue Blue Blue Blue\nBrown Brown Gray Gray Blue Blue\nBrown Brown Gray Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Red Red Red Red Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Red Red Red Red\nBlack Black Black Black Red Red Red Red\nBrown Brown Brown Brown Red Red Red Red\nBrown Brown Brown Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Blue Blue Orange Orange Pink Pink Black Black Black Black Black Black\nBlack Black Red Red Blue Blue Orange Orange Pink Pink Black Black Black Black Black Black\nBlack Black Red Red Brown Brown Orange Orange Blue Blue Black Black Black Black Black Black\nBlack Black Red Red Brown Brown Orange Orange Blue Blue Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Blue Blue Red Red Purple Purple Black Black\nBlack Black Red Red Black Black Black Black Blue Blue Red Red Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Blue Blue Orange Orange Pink Pink Black Black Black Black Black Black\nBlack Black Red Red Blue Blue Orange Orange Pink Pink Black Black Black Black Black Black\nRed Red Red Red Blue Blue Orange Orange Pink Pink Pink Pink Black Black Black Black\nRed Red Red Red Blue Blue Orange Orange Pink Pink Pink Pink Black Black Black Black\nRed Red Red Red Brown Brown Orange Orange Blue Blue Red Red Purple Purple Black Black\nRed Red Red Red Brown Brown Orange Orange Blue Blue Red Red Purple Purple Black Black\nRed Red Red Red Red Red Blue Blue Blue Blue Red Red Purple Purple Purple Purple\nRed Red Red Red Red Red Blue Blue Blue Blue Red Red Purple Purple Purple Purple\nBlack Black Red Red Black Black Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple\nBlack Black Red Red Black Black Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Blue Blue Blue Blue Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Pink Pink Pink Pink Black Black\nBlack Black Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Pink Pink Pink Pink Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Gray Gray Black Black Pink Pink Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Gray Gray Black Black Pink Pink Black Black\nBlack Black Black Black Green Green Green Green Gray Gray Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Gray Gray Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Gray Gray Black Black Pink Pink Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Gray Gray Black Black Pink Pink Black Black\nBlack Black Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Pink Pink Pink Pink Black Black\nBlack Black Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Pink Pink Pink Pink Black Black\nBlack Black Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Pink Pink Pink Pink Black Black\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Pink Pink Pink Pink Pink Pink\nBlack Black Green Green Green Green Green Green Green Green Green Green Gray Gray Pink Pink Pink Pink Pink Pink\nBlack Black Green Green Green Green Green Green Green Green Green Green Gray Gray Pink Pink Pink Pink Pink Pink\nBlack Black Green Green Green Green Green Green Gray Gray Red Red Gray Gray Black Black Pink Pink Black Black\nBlack Black Green Green Green Green Green Green Gray Gray Red Red Gray Gray Black Black Pink Pink Black Black\nBlack Black Brown Brown Green Green Green Green Green Green Green Green Gray Gray Pink Pink Pink Pink Pink Pink\nBlack Black Brown Brown Green Green Green Green Green Green Green Green Gray Gray Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Pink Pink Pink Pink Pink Pink\nBlack Black Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Pink Pink Pink Pink Black Black\nBlack Black Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Blue Blue Pink Pink Pink Pink Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Yellow Yellow Gray Gray Black Black Gray Gray Yellow Yellow Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Yellow Yellow Gray Gray Black Black Gray Gray Yellow Yellow Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Green Green Green Green Gray Gray Red Red Gray Gray Green Green Green Green Gray Gray Black Black\nBlack Black Gray Gray Green Green Green Green Gray Gray Red Red Gray Gray Green Green Green Green Gray Gray Black Black\nBlack Black Blue Blue Gray Gray Green Green Blue Blue Green Green Blue Blue Green Green Gray Gray Blue Blue Black Black\nBlack Black Blue Blue Gray Gray Green Green Blue Blue Green Green Blue Blue Green Green Gray Gray Blue Blue Black Black\nBlack Black Blue Blue Orange Orange Red Red Brown Brown Brown Brown Brown Brown Red Red Orange Orange Blue Blue Black Black\nBlack Black Blue Blue Orange Orange Red Red Brown Brown Brown Brown Brown Brown Red Red Orange Orange Blue Blue Black Black\nBlack Black Orange Orange Orange Orange Purple Purple Pink Pink Brown Brown Pink Pink Purple Purple Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Purple Purple Pink Pink Brown Brown Pink Pink Purple Purple Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray Gray Gray Gray Yellow Yellow Gray Gray Black Black Gray Gray Yellow Yellow Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Yellow Yellow Gray Gray Black Black Gray Gray Yellow Yellow Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Red Red Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Red Red Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Green Green Green Gray Gray Red Red Gray Gray Green Green Green Green Gray Gray Gray Gray\nGray Gray Gray Gray Green Green Green Green Gray Gray Red Red Gray Gray Green Green Green Green Gray Gray Gray Gray\nBlue Blue Blue Blue Gray Gray Green Green Blue Blue Green Green Blue Blue Green Green Gray Gray Blue Blue Blue Blue\nBlue Blue Blue Blue Gray Gray Green Green Blue Blue Green Green Blue Blue Green Green Gray Gray Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Red Red Brown Brown Brown Brown Brown Brown Red Red Orange Orange Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Red Red Brown Brown Brown Brown Brown Brown Red Red Orange Orange Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Purple Purple Pink Pink Brown Brown Pink Pink Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Pink Pink Brown Brown Pink Pink Purple Purple Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Purple Purple Pink Pink Brown Brown Pink Pink Purple Purple Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Purple Purple Pink Pink Brown Brown Pink Pink Purple Purple Orange Orange Orange Orange Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Brown Brown Pink Pink Gray Gray Blue Blue Black Black Black Black Black Black\nBlack Black Red Red Brown Brown Pink Pink Gray Gray Blue Blue Black Black Black Black Black Black\nBlack Black Purple Purple Blue Blue Green Green Blue Blue Blue Blue Brown Brown Red Red Black Black\nBlack Black Purple Purple Blue Blue Green Green Blue Blue Blue Blue Brown Brown Red Red Black Black\nBlack Black Purple Purple Purple Purple Gray Gray Pink Pink Pink Pink Brown Brown Red Red Black Black\nBlack Black Purple Purple Purple Purple Gray Gray Pink Pink Pink Pink Brown Brown Red Red Black Black\nBlack Black Black Black Purple Purple Black Black Pink Pink Red Red Pink Pink Orange Orange Black Black\nBlack Black Black Black Purple Purple Black Black Pink Pink Red Red Pink Pink Orange Orange Black Black\nBlack Black Purple Purple Purple Purple Gray Gray Pink Pink Pink Pink Brown Brown Red Red Black Black\nBlack Black Purple Purple Purple Purple Gray Gray Pink Pink Pink Pink Brown Brown Red Red Black Black\nBlack Black Purple Purple Blue Blue Green Green Blue Blue Blue Blue Brown Brown Red Red Black Black\nBlack Black Purple Purple Blue Blue Green Green Blue Blue Blue Blue Brown Brown Red Red Black Black\nBlack Black Red Red Brown Brown Pink Pink Gray Gray Blue Blue Black Black Black Black Black Black\nBlack Black Red Red Brown Brown Pink Pink Gray Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Red Brown Brown Pink Pink Gray Gray Blue Blue Black Black Black Black Black Black\nBlack Black Red Red Brown Brown Pink Pink Gray Gray Blue Blue Black Black Black Black Black Black\nRed Red Red Red Brown Brown Pink Pink Gray Gray Blue Blue Brown Brown Red Red Black Black\nRed Red Red Red Brown Brown Pink Pink Gray Gray Blue Blue Brown Brown Red Red Black Black\nPurple Purple Purple Purple Blue Blue Green Green Blue Blue Blue Blue Brown Brown Red Red Red Red\nPurple Purple Purple Purple Blue Blue Green Green Blue Blue Blue Blue Brown Brown Red Red Red Red\nPurple Purple Purple Purple Purple Purple Gray Gray Pink Pink Pink Pink Brown Brown Red Red Red Red\nPurple Purple Purple Purple Purple Purple Gray Gray Pink Pink Pink Pink Brown Brown Red Red Red Red\nBlack Black Purple Purple Purple Purple Gray Gray Pink Pink Red Red Pink Pink Orange Orange Orange Orange\nBlack Black Purple Purple Purple Purple Gray Gray Pink Pink Red Red Pink Pink Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Gray Gray Pink Pink Pink Pink Brown Brown Red Red Red Red\nPurple Purple Purple Purple Purple Purple Gray Gray Pink Pink Pink Pink Brown Brown Red Red Red Red\nPurple Purple Purple Purple Blue Blue Green Green Blue Blue Blue Blue Brown Brown Red Red Red Red\nPurple Purple Purple Purple Blue Blue Green Green Blue Blue Blue Blue Brown Brown Red Red Red Red\nRed Red Red Red Brown Brown Pink Pink Gray Gray Blue Blue Blue Blue Red Red Black Black\nRed Red Red Red Brown Brown Pink Pink Gray Gray Blue Blue Blue Blue Red Red Black Black\nBlack Black Red Red Brown Brown Pink Pink Gray Gray Blue Blue Black Black Black Black Black Black\nBlack Black Red Red Brown Brown Pink Pink Gray Gray Blue Blue 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 Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Pink Pink 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue 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 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 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 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 Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack 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 Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack 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 Gray Gray Gray Gray Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Pink Pink Pink Pink Pink Pink 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Blue Red Red Red Red Red Black\nBlack Blue Red Red Red Red Red Black\nBlack Blue Red Red Red Red Red Black\nBlack Purple Purple Purple Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Black Blue Blue Black\nBlack Blue Blue Blue Black Blue Blue Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green\nGreen Blue Red Red Red Red Red Green\nGreen Blue Red Red Red Red Red Green\nGreen Blue Red Red Red Red Red Green\nGreen Purple Purple Purple Yellow Yellow Yellow Green\nGreen Yellow Yellow Yellow Green Blue Blue Green\nGreen Blue Blue Blue Green Blue Blue Green\nGreen Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Red Red Black Black\nBlack Red Purple Red Red Red Black\nBlack Red Black Red Red Red Black\nBlack Red Red Yellow Yellow Red Black\nBlack Black Black Yellow Yellow Purple Black\nBlack Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green\nGreen Green Green Red Red Green Green\nGreen Red Purple Red Red Red Green\nGreen Red Green Red Red Red Green\nGreen Red Red Yellow Yellow Red Green\nGreen Green Green Yellow Yellow Purple Green\nGreen Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Blue Black Blue Blue Black Black\nBlack Blue Black Blue Blue Black Black\nBlack Blue Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Red Red Red Black Black\nBlack Black Red Red Red Black Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green\nGreen Blue Green Blue Blue Green Green\nGreen Blue Green Blue Blue Green Green\nGreen Blue Yellow Yellow Yellow Green Green\nGreen Green Yellow Yellow Yellow Green Green\nGreen Green Red Red Red Green Green\nGreen Green Red Red Red Green Green\nGreen Purple Purple Purple Purple Purple Green\nGreen Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Yellow Black\nBlack Blue Black Black Black Yellow Black Yellow Black\nBlack Blue Black Black Black Yellow Black Black Black\nBlack Blue Black Black Black Purple Black Black Black\nBlack Black Blue Black Black Purple Black Black Black\nBlack Black Black Black Blue Blue Black Black Black\nBlack Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Red Red Green Yellow Green\nGreen Blue Green Green Green Yellow Green Yellow Green\nGreen Blue Green Green Green Yellow Green Green Green\nGreen Blue Green Green Green Purple Green Green Green\nGreen Green Blue Green Green Purple Green Green Green\nGreen Green Green Green Blue Blue Green Green Green\nGreen Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Green Green Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange Red Red Purple Purple Yellow Yellow Orange Orange\nOrange Orange Green Green Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange Red Red Purple Purple Yellow Yellow Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nOrange Orange Green Green Brown Brown Orange Orange Pink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange\nOrange Orange Green Green Brown Brown Orange Orange Pink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange\n\nOutput:\nOrange Orange Green Green Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange Red Red Purple Purple Yellow Yellow Orange Orange\nOrange Orange Green Green Purple Purple Blue Blue Orange Orange Green Green Orange Orange Orange Orange Red Red Purple Purple Yellow Yellow Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple\nGray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink\nGray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink\nBlue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green\nOrange Orange Green Green Brown Brown Orange Orange Pink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange\nOrange Orange Green Green Brown Brown Orange Orange Pink Pink Gray Gray Purple Purple Brown Brown Pink Pink Yellow Yellow Pink Pink Orange Orange\n\n\nExample 2\nInput:\nOrange Orange Green Green Pink Pink Brown Brown Orange Orange Blue Blue Orange Orange Pink Pink Brown Brown Orange Orange\nOrange Orange Green Green Pink Pink Brown Brown Orange Orange Blue Blue Orange Orange Pink Pink Brown Brown Orange Orange\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nGray Gray Black Black 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 Black Black Brown Brown\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\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:\nOrange Orange Green Green Pink Pink Brown Brown Orange Orange Blue Blue Orange Orange Pink Pink Brown Brown Orange Orange\nOrange Orange Green Green Pink Pink Brown Brown Orange Orange Blue Blue Orange Orange Pink Pink Brown Brown Orange Orange\nPurple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple\nPurple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple\nBrown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown\nBrown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown\nGray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown\nGray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown\nPurple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue\nPurple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue\nBrown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\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\n\nExample 3\nInput:\nGray Gray Purple Purple Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green Brown Brown Blue Blue Gray Gray\nGray Gray Purple Purple Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green Brown Brown Blue Blue Gray Gray\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nGray Gray Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\nGray Gray Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\n\nOutput:\nGray Gray Purple Purple Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green Brown Brown Blue Blue Gray Gray\nGray Gray Purple Purple Pink Pink Yellow Yellow Red Red Gray Gray Orange Orange Green Green Brown Brown Blue Blue Gray Gray\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple\nGreen Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\nGreen Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\nYellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple\nYellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\nGray Gray Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\nGray Gray Pink Pink Purple Purple Orange Orange Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Brown Brown Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange Orange Orange Blue Blue Pink Pink\nPink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange Orange Orange Blue Blue Pink Pink\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\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```\nPink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange Orange Orange Blue Blue Pink Pink\nPink Pink Red Red Blue Blue Gray Gray Pink Pink Orange Orange Orange Orange Blue Blue Pink Pink\nYellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown\nYellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown\nPurple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown\nOrange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown\nBrown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Yellow Black Yellow Black Black Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Black Black Black Yellow Black Black Yellow Yellow\nBlack Yellow Black Yellow Black Black Black Black Black Yellow Black\nBlue Blue Blue Blue Black Blue Blue Blue Blue Yellow Black\nBlue Blue Blue Blue Black Blue Blue Blue Blue Black Yellow\nBlue Blue Blue Blue Black Blue Blue Blue Blue Yellow Yellow\nBlue Blue Blue Blue Yellow Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Yellow Black Black Yellow Yellow\n\nOutput:\nYellow\n\n\nExample 2\nInput:\nBlack Yellow Yellow Black Yellow Yellow Yellow Yellow Black\nBlack Yellow Black Black Blue Blue Blue Blue Black\nBlack Black Yellow Black Blue Blue Blue Blue Black\nYellow Black Black Black Blue Blue Blue Blue Yellow\nBlack Black Black Black Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Yellow Black Black\nBlack Yellow Yellow Blue Blue Blue Blue Black Black\nBlack Yellow Black Blue Blue Blue Blue Yellow Yellow\nBlack Black Yellow Blue Blue Blue Blue Yellow Yellow\nYellow Black Black Blue Blue Blue Blue Black Yellow\n\nOutput:\nYellow\n\n\nExample 3\nInput:\nYellow Black Black Yellow Blue Blue Blue Blue Black Black\nBlack Black Yellow Yellow Blue Blue Blue Blue Yellow Yellow\nYellow Black Black Black Blue Blue Blue Blue Black Black\nYellow Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow\nBlack Blue Blue Blue Blue Black Black Yellow Yellow Yellow\nYellow Blue Blue Blue Blue Yellow Black Black Yellow Black\nYellow Blue Blue Blue Blue Black Black Yellow Black Black\nYellow Blue Blue Blue Blue Yellow Black Black Black Black\nYellow Black Yellow Black Black Yellow Black Black Black Yellow\nYellow Black Black Yellow Black Black Yellow Black Black Black\n\nOutput:\nYellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Blue Blue Blue Black Yellow Black Black Yellow Black\nBlack Blue Blue Blue Blue Yellow Black Yellow Black Yellow Yellow\nYellow Blue Blue Blue Blue Black Yellow Blue Blue Blue Blue\nYellow Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue\nYellow Black Black Black Yellow Black Black Blue Blue Blue Blue\nBlack Black Black Black Yellow Black Black Blue Blue Blue Blue\nBlack Black Yellow Yellow Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\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:\nBlack 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 Purple Purple Purple\nBlack 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 Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack 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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack 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 Purple Purple Purple\nBlack 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 Gray Gray Gray\nBlack 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 Gray Gray Gray\n\nOutput:\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack 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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\n\nOutput:\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\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 Green Green Green\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 Green Green Green\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 Green Green Green\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack 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 Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack 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 Yellow Yellow Yellow\nBlack 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 Yellow Yellow Yellow\nBlack 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 Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\n\nOutput:\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\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 Green Green Green\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 Green Green Green\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 Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack 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 Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack 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 Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack 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 Gray Gray Gray\nBlack 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 Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\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 Green Green Green\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 Green Green Green\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 Green Green Green\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Black Black Blue Orange Black Black Black Orange Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Green Black Black Blue Blue Black Black Black Black Black Orange\nBlue Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nYellow Black Black Black Red Black Green Black Black Black Blue Yellow Black Black Black Black Black\nBlue Black Black Black Black Black Orange Black Red Black Black Orange Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Blue Black Black Yellow Green Black Black Black\nBlack Black Black Black Black Orange 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 Orange Black Black\nBlack Black Blue Black Black Black Black Black Black Red Blue Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Orange Green Black Black Black Black Green Black\nRed Black Black Black Black Black Black Green Black Black Black Black Black Black Black Red Black\n\nOutput:\nRed Green Blue Yellow Orange Black Black Black Black Black Black Black Black Black Black Black Black\nRed Green Blue Yellow Orange Black Black Black Black Black Black Black Black Black Black Black Black\nRed Green Blue Yellow Orange Black Black Black Black Black Black Black Black Black Black Black Black\nRed Green Blue Yellow Orange Black Black Black Black Black Black Black Black Black Black Black Black\nRed Green Blue Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nRed Green Blue Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nRed Green Blue Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nRed Green Blue Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Black Black Black Black Green Black Black Black Black Green Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Yellow Black Black Black\nBlack Orange Black Black Black Black Black Red Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Red Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Orange Black Black Black\nBlack Orange Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Blue\nBlack Black Green Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Green Blue Yellow Orange Black Black Black Black Black Black Black Black Black Black\nRed Green Blue Yellow Orange Black Black Black Black Black Black Black Black Black Black\nRed Green Blue Yellow Orange Black Black Black Black Black Black Black Black Black Black\nRed Green Blue Yellow Orange Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nOrange Blue Black Black Black Black Black Red Black Black Black Black Black Green Black Black\nBlack Black Black Red Black Red Black Black Yellow Orange Black Black Blue Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Green Black\nBlack Black Blue Black Black Black Black Green Black Black Blue Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Red Black Green Black Black Black Black Black Black\nBlue Yellow Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Red Black Black Blue Black Black Blue Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Blue Black Orange Black Black Black Blue Black Yellow Yellow Black Red\n\nOutput:\nRed Green Blue Yellow Orange Black Black Black Black Black Black Black Black Black Black Black\nRed Green Blue Yellow Orange Black Black Black Black Black Black Black Black Black Black Black\nRed Green Blue Yellow Orange Black Black Black Black Black Black Black Black Black Black Black\nRed Green Blue Yellow Orange Black Black Black Black Black Black Black Black Black Black Black\nRed Black Blue Yellow Orange Black Black Black Black Black Black Black Black Black Black Black\nRed Black Blue Yellow Orange Black Black Black Black Black Black Black Black Black Black Black\nRed Black Blue Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Blue Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nOrange Black Green Black Blue Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Red Black Yellow Blue Yellow Green Red Black Black Black\nBlack Black Green Red Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Green Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Green Black Black Black Black\nGreen Black Black Black Black Black Red Red Black Black Black Blue Black Black\nBlack Black Green Blue Black Black Green Black Yellow Green Black Black Black Black\nBlack Yellow Black Black Red Black Green Black Black Black Black Black Orange Black\nBlack Black Red Black Black Black Green Black Orange Black Black Yellow Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Green Black Green Black\nBlack Black Green Green Black 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```\nRed Green Blue Yellow Orange Black Black Black Black Black Black Black Black Black\nRed Green Blue Yellow Orange Black Black Black Black Black Black Black Black Black\nRed Green Blue Yellow Orange Black Black Black Black Black Black Black Black Black\nRed Green Blue Yellow Orange Black Black Black Black Black Black Black Black Black\nRed Green Blue Yellow Orange Black Black Black Black Black Black Black Black Black\nRed Green Black Yellow Orange Black Black Black Black Black Black Black Black Black\nRed Green Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green 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 Black Black Black Black Blue Yellow Black Blue Red Blue Red Blue\nBlack Black Yellow Blue Blue Black Black Black Black Red Black Red Yellow\nBlack Yellow Black Black Black Black Black Yellow Blue Red Yellow Red Blue\nYellow Black Blue Black Blue Yellow Blue Blue Black Red Blue Red Black\nBlack Black Yellow Yellow Black Yellow Black Blue Black Red Black Red Black\nBlack Black Blue Yellow Yellow Blue Blue Black Black Red Yellow Red Black\nBlack Blue Black Black Black Blue Yellow Black Blue Red Yellow Red Yellow\nBlack Blue Black Blue Black Yellow Black Black Black Red Yellow Red Yellow\nYellow Yellow Yellow Black Black Black Black Yellow Black Red Blue Red Black\nBlack Black Black Blue Blue Yellow Black Yellow Black Red Black Red Blue\nBlack Black Black Black Yellow Blue Black Black Yellow Red Blue Red Yellow\n\nOutput:\nBlack Black Blue Blue Blue Black Black Black Black Red Black Red Blue\nBlack Blue Black Black Black Black Black Blue Blue Red Blue Red Blue\nBlue Black Blue Black Blue Blue Blue Blue Black Red Blue Red Black\n\n\nExample 2\nInput:\nBlack Blue Black Black Black Yellow Red Black Red Black Yellow Yellow Blue\nBlack Blue Black Black Black Yellow Red Black Red Black Yellow Black Black\nBlack Blue Blue Blue Yellow Blue Red Yellow Red Blue Black Yellow Black\nYellow Blue Black Blue Black Black Red Yellow Red Black Black Black Black\nBlack Blue Blue Yellow Black Blue Red Blue Red Black Blue Blue Black\nBlack Blue Yellow Blue Yellow Yellow Red Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Red Blue Red Black Black Black Yellow\nBlack Blue Black Black Black Black Red Yellow Red Black Black Blue Blue\nYellow Black Black Black Black Black Red Yellow Red Blue Black Black Yellow\nBlack Yellow Black Blue Yellow Black Red Yellow Red Black Yellow Yellow Blue\nBlue Yellow Yellow Black Yellow Blue Red Black Red Blue Black Black Blue\nBlack Yellow Black Yellow Yellow Black Red Blue Red Black Yellow Yellow Black\n\nOutput:\nBlack Blue Blue Blue Black Blue Red Blue Red Black Blue Blue Black\nBlack Blue Blue Blue Blue Blue Red Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Red Blue Red Black Black Black Blue\n\n\nExample 3\nInput:\nYellow Blue Black Yellow Yellow Black Red Black Red Yellow Black Yellow\nBlack Black Yellow Blue Black Yellow Red Yellow Red Yellow Black Blue\nBlack Black Blue Black Blue Black Red Yellow Red Yellow Black Blue\nBlack Black Yellow Black Black Black Red Yellow Red Black Black Black\nBlack Black Blue Yellow Blue Yellow Red Yellow Red Black Black Black\nBlack Blue Yellow Blue Blue Yellow Red Black Red Black Black Yellow\nBlack Black Black Blue Yellow Yellow Red Blue Red Black Black Yellow\nBlack Black Black Black Yellow Blue Red Black Red Black Black Yellow\nBlack Blue Yellow Black Black Black Red Black Red Blue Blue Yellow\nYellow Black Blue Black Black Blue Red Black Red Black Blue Black\nBlack Black Blue Black Blue Blue Red Black Red Blue Black Black\nBlack Blue Blue Yellow Black Black Red Black Red Black Blue Black\nBlack Black Blue Yellow Black Yellow Blue Yellow Blue Blue Yellow Black\nBlue Blue Yellow Black Black Black Blue Black Black Yellow Black Black\n\nOutput:\nBlack Black Blue Black Black Black Red Blue Red Black Black Black\nBlack Black Blue Blue Blue Blue Red Blue Red Black Black Black\nBlack Blue Blue Blue Blue Blue Red Black Red Black Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Black Black Blue Red Yellow Red Yellow Black Black Yellow\nBlue Blue Black Blue Black Yellow Black Red Black Red Yellow Black Blue Blue\nYellow Blue Blue Blue Black Black Black Red Black Red Black Blue Yellow Black\nBlack Black Blue Black Black Yellow Blue Red Black Red Yellow Yellow Black Blue\nBlack Yellow Black Black Black Black Black Red Black Red Black Blue Black Yellow\nBlack Black Blue Yellow Black Yellow Blue Red Black Red Yellow Blue Black Yellow\nBlack Black Yellow Black Black Blue Blue Red Black Red Yellow Black Yellow Black\nBlue Black Black Blue Black Yellow Blue Red Blue Red Black Black Yellow Black\nBlack Yellow Black Black Black Yellow Black Red Yellow Red Black Yellow Black Black\nBlack Blue Black Blue Black Blue Blue Red Yellow Red Yellow Yellow Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Blue Black Black Black Black Black Red Black Red Black Blue Black Blue\nBlack Black Blue Blue Black Blue Blue Red Black Red Blue Blue Black Blue\nBlack Black Blue Black Black Blue Blue Red Black Red 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:\nRed Blue Red Black Red Red Black Red Black Red Blue Blue\nBlack Red Red Black Blue Red Red Blue Red Red Blue Red\nBlack Black Blue Black Red Black Black Black Black Black Blue Blue\nBlack Blue Red Black Red Blue Black Black Black Red Blue Black\nBlue Black Red Red Blue Black Black Red Black Black Blue Black\nBlack Red Blue Black Blue Red Red Black Black Red Blue Blue\nBlack Black Red Blue Blue Black Blue Black Blue Blue Black Black\nRed Blue Red Blue Red Red Red Black Blue Red Black Blue\n\nOutput:\nGreen Blue Green Black Green Red Black Green Black Green Blue Blue\nBlack Green Green Black Blue Green Green Blue Green Green Blue Green\nBlack Black Blue Black Green Black Black Black Black Black Blue Blue\nBlack Blue Green Black Green Blue Black Black Black Green Blue Black\nBlue Black Green Green Blue Black Black Red Black Black Blue Black\nBlack Green Blue Black Blue Green Green Black Black Green Blue Blue\nBlack Black Green Blue Blue Black Blue Black Blue Blue Black Black\nGreen Blue Green Blue Green Red Green Black Blue Green Black Blue\n\n\nExample 2\nInput:\nBlack Red Red Blue Black Black Red Blue Red Red\nRed Black Black Red Black Black Black Red Blue Black\nBlue Red Blue Blue Blue Blue Black Red Black Red\nBlue Blue Red Black Blue Black Red Black Black Red\nRed Red Blue Blue Red Black Black Blue Blue Blue\nBlack Red Black Red Blue Black Black Blue Red Blue\nBlack Black Red Black Red Red Black Blue Red Blue\n\nOutput:\nBlack Red Green Blue Black Black Green Blue Green Red\nGreen Black Black Green Black Black Black Green Blue Black\nBlue Green Blue Blue Blue Blue Black Red Black Red\nBlue Blue Green Black Blue Black Red Black Black Green\nGreen Green Blue Blue Green Black Black Blue Blue Blue\nBlack Red Black Green Blue Black Black Blue Green Blue\nBlack Black Red Black Green Red Black Blue Green Blue\n\n\nExample 3\nInput:\nBlack Black Black Red Blue Blue Blue Black Black Black Black\nBlack Red Red Red Red Red Red Blue Black Black Blue\nRed Blue Red Blue Blue Red Blue Black Red Black Black\nBlack Blue Blue Black Red Black Red Red Black Black Black\nBlue Black Black Blue Red Blue Black Red Red Red Blue\nBlack Red Blue Blue Red Black Black Red Blue Black Blue\nBlue Black Blue Red Red Black Blue Blue Black Black Red\n\nOutput:\nBlack Black Black Green Blue Blue Blue Black Black Black Black\nBlack Green Red Green Green Green Green Blue Black Black Blue\nGreen Blue Green Blue Blue Green Blue Black Red Black Black\nBlack Blue Blue Black Green Black Green Red Black Black Black\nBlue Black Black Blue Green Blue Black Red Green Green Blue\nBlack Green Blue Blue Green Black Black Green Blue Black Blue\nBlue Black Blue Green Red Black Blue Blue Black Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBlue Black Red Black Red Red Blue Red Red\nBlue Black Red Blue Black Red Blue Black Blue\nBlue Red Black Red Blue Black Blue Red Black\nRed Red Black Red Red Black Red Black Red\nBlack Black Blue Blue Blue Black Black Blue Red\nBlack Red Black Black Black Black Black Black Black\nRed Blue Black Red Red Blue Blue Blue Black\nBlue Red Blue Red Black Red Red Black Black\nBlack Black Red Blue Blue Blue Red Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Red Black Red Green Blue Green Green\nBlue Black Green Blue Black Green Blue Black Blue\nBlue Green Black Green Blue Black Blue Green Black\nGreen Red Black Green Green Black Green Black Red\nBlack Black Blue Blue Blue Black Black Blue Green\nBlack Green Black Black Black Black Black Black Black\nGreen Blue Black Red Green Blue Blue Blue Black\nBlue Green Blue Green Black Green Green Black Black\nBlack Black Green Blue Blue Blue Green Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Gray 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 Purple Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Green Black Black Black Black\nBlack Black Black Black Black Black Pink 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 Orange Purple Yellow Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Red Black Black Orange Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Green Black Black Black Black Purple Blue Black\nBlack Black Gray Green Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black\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 Blue Yellow Black Black Black Black Black Black Black Black\nGreen Red Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Gray Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Yellow Red Black Black Pink Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Red\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 Yellow Black Black Black Black Black Black Black Black\nGreen Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Red 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 Green Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Blue Black Black Black Black Black Purple Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Blue Black Black\nBlue 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\nBlack Black Black Black Purple Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Brown Black Black Yellow Yellow Black Black Black\nBlack Brown Brown Brown Black Yellow Yellow Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nYellow Yellow Yellow Black Red Black Brown Black Brown Black\nYellow Yellow Black Black Black Black Brown Brown Brown Black\nYellow Yellow Yellow Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Black Black\nBlack Brown Black\nBrown Brown Brown\nBlack Brown Black\nBrown Black Brown\nBrown Brown Brown\nBrown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Green Green\nBlack Black Black Black Yellow Black Black Orange Black Green\nBlack Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Purple Purple Black Black Black Black Black Purple Purple\nBlack Black Purple Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black\nGreen Green\nBlack Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Brown Black Brown Black\nBlack Black Orange Orange Black Black Brown Brown Brown Black\nBlack Orange Orange Orange Black Black Brown Black Brown Black\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Brown Brown Black\nBlack Gray Black Black Black Black Black Brown Brown Black\nGray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Black Blue Blue Black Black Black Black Black\nGray Black Black Blue Blue Black Black Black Black Black\n\nOutput:\nGray Black Black\nBlack Gray Black\nGray Gray Gray\nBlack Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Yellow Black Red Red Black Black Black\nBlack Black Yellow Yellow Yellow Black Red Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black\nRed Black Black Black Black Black Red Red Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Black\nRed Red Black\nRed Red Black\nRed Red Red\nBlack Red Red\nBlack Black Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Green Green Yellow Yellow Red Red\nBrown Brown Green Green Yellow Yellow Red Red\nBrown Brown Green Green Orange Orange Gray Gray\nBrown Brown Green Green Orange Orange Gray Gray\nPurple Purple Purple Purple Orange Orange Orange Orange\nPurple Purple Purple Purple Orange Orange Orange Orange\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nPink Pink Pink Pink Blue Blue Purple Purple Orange Orange\nPink Pink Pink Pink Blue Blue Purple Purple Orange Orange\nYellow Yellow Pink Pink Blue Blue Brown Brown Purple Purple\nYellow Yellow Pink Pink Blue Blue Brown Brown Purple Purple\nGreen Green Green Green Green Green Yellow Yellow Gray Gray\nGreen Green Green Green Green Green Yellow Yellow Gray Gray\nYellow Yellow Gray Gray Brown Brown Orange Orange Gray Gray\nYellow Yellow Gray Gray Brown Brown Orange Orange Gray Gray\nYellow Yellow Gray Gray Brown Brown Brown Brown Red Red\nYellow Yellow Gray Gray Brown Brown Brown Brown Red Red\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nPink Pink Gray Gray Yellow Yellow Brown Brown Gray Gray\nPink Pink Gray Gray Yellow Yellow Brown Brown Gray Gray\nGray Gray Blue Blue Red Red Gray Gray Gray Gray\nGray Gray Blue Blue Red Red Gray Gray Gray Gray\nRed Red Red Red Red Red Gray Gray Blue Blue\nRed Red Red Red Red Red Gray Gray Blue Blue\nPurple Purple Brown Brown Brown Brown Orange Orange Blue Blue\nPurple Purple Brown Brown Brown Brown Orange Orange Blue Blue\nOrange Orange Brown Brown Purple Purple Orange Orange Orange Orange\nOrange Orange Brown Brown Purple Purple Orange Orange Orange Orange\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Pink Pink Blue Blue\nRed Red Pink Pink Blue Blue\nYellow Yellow Blue Blue Blue Blue\nYellow Yellow Blue Blue Blue Blue\nPurple Purple Blue Blue Pink Pink\nPurple Purple Blue Blue 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```\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Green Green Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Green Green Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Green Green\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Green Green\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Green Green\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Green Green\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Red Red Green Green\nRed Red Red Red Black Black Black Black Black Black Red Red Green Green\nRed Red Red Red Black Black Black Black Black Black Red Red Green Green\nRed Red Red Red Black Black Black Black Black Black Red Red Green Green\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red 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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black 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\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\n\nOutput:\nBlack 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 Green Green Black Black\nBlack 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 Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow 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 Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\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 Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue 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```\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\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 Black Black Yellow Yellow\nBlack 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 Green Green Green Green Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Red Red Red Red Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Red Red Red Red Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Red Red Red Red Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Red Red Red Red Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Red Red Red Red Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Red Red Red Red Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Red Red Blue Blue Blue Blue Blue Blue Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Red Red Blue Blue Blue Blue Blue Blue Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue 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 Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Blue Blue Blue Blue\nBlack 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 Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black\nBlack Black Blue Blue Blue Blue Green Green Green Green Black Black Black Black Green Green Green Green Black Black\nBlack Black Blue Blue Blue Blue Green Green Green Green Black Black Black Black Green Green Green Green Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Green Green Green Green Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Green Green Green Green Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Green Green Green Green Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Green Green Green Green Black Black\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Green Green Green Green Black Black\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Green Green Green Green Black Black\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\n\nOutput:\nBlack 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Green Green Green Green Black Black\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Green Green Green Green Black Black\nYellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black\nYellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black\nBlack 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 Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Green Green Green Green Green Green Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Green Green Green Green Green Green Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue 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\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Pink Pink Pink Pink Black Black Red Red Red Red Red Red\nBlack Black Red Red Red Red Pink Pink Pink Pink Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black 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```\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Red Red Red Red Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Red Red Red Red Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Red Red Red Red Green Green Green Green Green Green Red Red Red Red Red Red\nBlack Black Red Red Red Red Green Green Green Green Green Green Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black Brown Brown Brown Brown\nBrown Brown Purple Purple Purple Purple Purple Purple Black Black Blue Blue Black Black Blue Blue Gray Gray Black Black\nBrown Brown Purple Purple Purple Purple Purple Purple Black Black Blue Blue Black Black Blue Blue Gray Gray Black Black\nPurple Purple Brown Brown Black Black Purple Purple Black Black Black Black Gray Gray Purple Purple Black Black Brown Brown\nPurple Purple Brown Brown Black Black Purple Purple Black Black Black Black Gray Gray Purple Purple Black Black Brown Brown\nPurple Purple Black Black Purple Purple Black Black Black Black Blue Blue Black Black Black Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple Black Black Black Black Blue Blue Black Black Black Black Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Black Black Purple Purple Gray Gray Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Purple Purple Gray Gray Purple Purple Black Black Black Black Black Black\nYellow Yellow Purple Purple Black Black Purple Purple Purple Purple Black Black Yellow Yellow Black Black Black Black Purple Purple\nYellow Yellow Purple Purple Black Black Purple Purple Purple Purple Black Black Yellow Yellow Black Black Black Black Purple Purple\nPurple Purple Purple Purple Brown Brown Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black Purple Purple\nPurple Purple Purple Purple Brown Brown Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black Purple Purple\nBlue Blue Purple Purple Black Black Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Purple Purple Black Black Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Yellow Yellow Purple Purple Blue Blue Black Black Black Black Black Black Brown Brown Purple Purple\nPurple Purple Black Black Yellow Yellow Purple Purple Blue Blue Black Black Black Black Black Black Brown Brown Purple Purple\nBrown Brown Black Black Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Black Black Black Black Black Black\nBrown Brown Black Black Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black Black Black\nPurple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black Black Black\nPurple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nPurple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Purple Purple Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black Purple Purple\nPurple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Black Black Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Pink Pink Green Green Black Black Pink Pink Black Black Purple Purple Orange Orange Black Black Black Black\nBlack Black Pink Pink Green Green Black Black Pink Pink Black Black Purple Purple Orange Orange Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Pink Pink\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Pink Pink\nGreen Green Black Black Green Green Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange\nGreen Green Black Black Green Green Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange\nBlack Black Black Black Gray Gray Black Black Green Green Black Black Black Black Black Black Orange Orange Pink Pink\nBlack Black Black Black Gray Gray Black Black Green Green Black Black Black Black Black Black Orange Orange Pink Pink\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Pink Pink Orange Orange Pink Pink Orange Orange\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Pink Pink Orange Orange Pink Pink Orange Orange\nOrange Orange Orange Orange Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Black Black Green Green Orange Orange\nOrange Orange Orange Orange Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Black Black Green Green Orange Orange\nPurple Purple Pink Pink Orange Orange Black Black Orange Orange Black Black Black Black Gray Gray Black Black Black Black\nPurple Purple Pink Pink Orange Orange Black Black Orange Orange Black Black Black Black Gray Gray Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Green Green Green Green Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nOrange Orange 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 Orange Orange Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange\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 Orange Orange Black Black Black Black Black Black Orange Orange Black Black Orange Orange\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Orange Orange\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange\nBlack Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange 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\n\n\nExample 3\nInput:\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Green Green Pink Pink Pink Pink Black Black Gray Gray\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Green Green Pink Pink Pink Pink Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Black Black Yellow Yellow Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Pink Pink Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Pink Pink Yellow Yellow Black Black\nGray Gray Black Black Black Black Black Black Yellow Yellow Black Black Black Black Gray Gray Yellow Yellow Black Black\nGray Gray Black Black Black Black Black Black Yellow Yellow Black Black Black Black Gray Gray Yellow Yellow Black Black\nYellow Yellow Black Black Green Green Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nYellow Yellow Black Black Green Green Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Blue Blue Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Blue Blue Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Black Green Green Black Black Black Black Yellow Yellow Black Black Yellow Yellow Pink Pink Black Black Black Black\nBlack Black Green Green Black Black Black Black Yellow Yellow Black Black Yellow Yellow Pink Pink Black Black Black Black\nBlack Black Blue Blue Black Black Yellow Yellow Green Green Black Black Pink Pink Yellow Yellow Black Black Yellow Yellow\nBlack Black Blue Blue Black Black Yellow Yellow Green Green Black Black Pink Pink Yellow Yellow Black Black Yellow Yellow\n\nOutput:\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black\nPurple Purple Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Brown Brown Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Black Black Brown Brown Black Black Black Black Black Black Blue Blue\nGray Gray Gray Gray Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Purple Purple Black Black\nGray Gray Gray Gray Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Purple Purple Black Black\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Purple Purple Gray Gray Black Black\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Purple Purple Gray Gray Black Black\nRed Red Gray Gray Black Black Black Black Blue Blue Black Black Blue Blue Brown Brown Brown Brown Blue Blue\nRed Red Gray Gray Black Black Black Black Blue Blue Black Black Blue Blue Brown Brown Brown Brown Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nGray Gray Purple Purple Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue\nGray Gray Purple Purple Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Black Blue Blue Red Red Black Black Gray Gray Blue Blue Gray Gray Red Red Blue Blue Black Black\nBlack Black Blue Blue Red Red Black Black Gray Gray Blue Blue Gray Gray Red Red Blue Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black 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:\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Purple\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Green Green Green Black Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Black Green Green Black\nBlack Black Green Black Green Black Black\nBlack Black Black Black Black Black Pink\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Green Green Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Green Black Black Black Black Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Black Black Black Black\nBlack Green Green Black Black Black Black\nBlack Black Black Black Black Black Orange\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Green Black\nBlack Green Green Orange Orange Green Black\nBlack Green Green Orange Orange Black Black\nBlack Green Green Orange Orange Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Gray Black Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Black Black Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Black Gray Gray Gray Black\nBlack Black Black Black Black Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Pink Pink Gray Pink Pink Black\nBlack Gray Pink Gray Pink Gray Black\nBlack Pink Pink Black Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Yellow Purple Purple Purple Yellow Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Pink Pink Black Red Red Black Black Black Black\nBlack Pink Pink Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Yellow Purple Purple Purple Yellow Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Pink Pink Black Red Red Black Black Black Black\nBlack Pink Pink Black Black Red Red Red Red Yellow\nBlack Black Black Black Black Black Red Yellow Red Red\nBlack Yellow Black Black Black Black Black Yellow Yellow Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Purple Black Black Black\nBlack Brown Brown Brown Black Purple Purple Purple Black Black\nBlack Brown Black Black Black Black Purple Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Purple Black Black Black\nBlack Brown Brown Brown Black Purple Purple Purple Black Black\nBlack Brown Black Black Black Black Purple Yellow Black Black\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Yellow Black Black Black Black Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Yellow Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Red Red Black Black\nBlack Yellow Gray Gray Gray Black Red Red Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Yellow Brown Brown Black\nBlack Pink Pink Black Black Brown Brown Brown Brown Black\nBlack Pink Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Yellow Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Red Red Black Black\nBlack Yellow Gray Gray Gray Black Red Red Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Yellow Brown Brown Black\nBlack Pink Pink Black Black Brown Brown Brown Brown Black\nBlack Pink Black Black Black Brown Brown Brown Red Red\nBlack Black Black Black Black Black Black Black Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Orange Black Orange Black Black\nYellow Black Black Red Black Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Green Yellow Green Black Black Black Black Black Black\nBlack Green Green Green Black Yellow Black Black Black Black\nBlack Green Green Green Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Green Green 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 Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Orange Black Orange Black Black\nYellow Black Black Red Black Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Green Yellow Green Black Black Black Black Black Black\nBlack Green Green Green Black Yellow Black Black Black Black\nBlack Green Green Green Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Green Red Red\nBlack Black Black Black Black Black Black Yellow Yellow 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\nBlack Black Black Black Black Black\nBlack Red Red Red Red Black\nBlack Red Red Black Black Black\nBlack Red Red Red Red Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Blue Black Blue Black\nBlack Black Blue Black Blue Black\nBlack Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black\nBlack Orange Orange Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Blue Black Black\nBlack Blue Black Black\nBlack Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black\nBlack Black Black Black Brown Brown Black\nBlack Black Brown Brown Brown Black Black\nBlack Black Black Brown Brown Black Black\nBlack Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Purple Purple Black\nBlack Black Purple Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black\nBlack Blue Blue Black\nBlack Blue Black Black\nBlack Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Red Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Pink Red Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Red Black Pink Pink Pink Pink Pink Red Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Red Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Red Pink Black Black Black Black Black Pink Black Black Black Black Black\nBlack Red Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Red Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Orange Black Black Black Black Black Black Orange Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack 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\nGreen Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Green Black Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Green Brown Brown Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Green Black Black Black Black Black Brown Brown Brown Brown Green Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\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\nDirectly provide the output grids corresponding to the given test input grids, based 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\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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Red Red Red Gray Gray Gray Orange Orange Orange\nYellow Yellow Yellow Red Red Red Gray Gray Gray Orange Orange Orange\nYellow Yellow Yellow Red Red Red Gray Gray Gray Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Green Green Green Green Green Green Purple Purple Purple\nYellow Yellow Yellow Green Green Green Green Green Green Purple Purple Purple\nYellow Yellow Yellow Green Green Green Green Green Green Purple Purple Purple\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Purple Purple Purple\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Purple Purple Purple\nYellow Yellow Yellow Brown Brown Brown Brown Brown Brown Purple Purple Purple\n\nOutput:\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Gray Gray Gray Orange Orange Orange\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Gray Gray Gray Orange Orange Orange\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Gray Gray Gray Orange Orange Orange\nPurple Purple Purple Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Purple Purple Purple\nOrange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Purple Purple Purple\nOrange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Purple Purple Purple\nOrange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Yellow Yellow Yellow Red Red Red\nGray Gray Gray Orange Orange Orange Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Yellow Yellow Yellow Red Red Red\nGray Gray Gray Orange Orange Orange Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Yellow Yellow Yellow Red Red Red\nRed Red Red Yellow Yellow Yellow Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Orange Orange Orange Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Orange Orange Orange Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Green Green Green Brown Brown Brown Brown Brown Brown Green Green Green Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Gray Gray Gray Red Red Red\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Gray Gray Gray Red Red Red\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Gray Gray Gray Red Red Red\nPurple Purple Purple Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Green Green Green Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Green Green Green Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Green Green Green Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Green Green Green Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Green Green Green Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Green Green Green Gray Gray Gray Gray Gray Gray\nPink Pink Pink Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple Gray Gray Gray Gray Gray Gray Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple Gray Gray Gray Gray Gray Gray Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple Gray Gray Gray Gray Gray Gray Red Red Red\nGray Gray Gray Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown\nGray Gray Gray Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown\nGray Gray Gray Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Pink Pink Pink Pink Pink Pink Green Green Green Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Pink Pink Pink Pink Pink Pink Green Green Green Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Pink Pink Pink Pink Pink Pink Green Green Green Gray Gray Gray Gray Gray Gray\nRed Red Red Gray Gray Gray Gray Gray Gray Purple Purple Purple Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Gray Gray Gray Gray Gray Gray Purple Purple Purple Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Gray Gray Gray Gray Gray Gray Purple Purple Purple Orange Orange Orange Pink Pink Pink Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Blue Blue Blue Purple Purple Purple Orange Orange Orange\nRed Red Red Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Blue Blue Blue Purple Purple Purple Orange Orange Orange\nRed Red Red Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Blue Blue Blue Purple Purple Purple Orange Orange Orange\nGray Gray Gray Orange Orange Orange Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Brown Brown Brown Purple Purple Purple\nGray Gray Gray Orange Orange Orange Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Brown Brown Brown Purple Purple Purple\nGray Gray Gray Orange Orange Orange Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Brown Brown Brown Purple Purple Purple\nGray Gray Gray Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Gray Gray Gray\nPurple Purple Purple Brown Brown Brown Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Orange Orange Orange Gray Gray Gray\nPurple Purple Purple Brown Brown Brown Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Orange Orange Orange Gray Gray Gray\nPurple Purple Purple Brown Brown Brown Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Orange Orange Orange Gray Gray Gray\nOrange Orange Orange Purple Purple Purple Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Brown Brown Brown Red Red Red\nOrange Orange Orange Purple Purple Purple Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Brown Brown Brown Red Red Red\nOrange Orange Orange Purple Purple Purple Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Brown Brown Brown Red Red Red\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Orange Orange Orange\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Orange Orange Orange\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Orange Orange Orange\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown Purple Purple Purple\nYellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown Purple Purple Purple\nYellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown Purple Purple Purple\nGray Gray Gray Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown\nGray Gray Gray Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown\nGray Gray Gray Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown\nPink Pink Pink Gray Gray Gray Red Red Red Purple Purple Purple Orange Orange Orange\nPink Pink Pink Gray Gray Gray Red Red Red Purple Purple Purple Orange Orange Orange\nPink Pink Pink Gray Gray Gray Red Red Red Purple Purple Purple Orange Orange Orange\n\nOutput:\nOrange Orange Orange Purple Purple Purple Red Red Red Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Orange Orange Orange\nOrange Orange Orange Purple Purple Purple Red Red Red Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Orange Orange Orange\nOrange Orange Orange Purple Purple Purple Red Red Red Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Red Red Red Blue Blue Blue Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Red Red Red Blue Blue Blue Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Red Red Red Blue Blue Blue Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Brown Brown Brown Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Brown Brown Brown Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Blue Blue Blue Red Red Red Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Red Red Red Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Red Red Red Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Red Red Red Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple Gray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple Gray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple Gray Gray Gray Blue Blue Blue Red Red Red Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Blue Blue Blue\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Blue Blue Blue\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Orange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Orange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Orange Orange Orange Brown Brown Brown Purple Purple Purple Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Blue Blue Blue\nPink Pink Pink Blue Blue Blue Blue Blue Blue\nPink Pink Pink Blue Blue Blue Blue Blue Blue\nRed Red Red Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Yellow Yellow Yellow Purple Purple Purple\nRed Red Red Yellow Yellow Yellow Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Yellow Yellow Yellow Red Red Red Blue Blue Blue Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Yellow Yellow Yellow Red Red Red Blue Blue Blue Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Yellow Yellow Yellow Red Red Red Blue Blue Blue Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue\nPink Pink Pink Blue Blue Blue Blue Blue Blue Red Red Red Yellow Yellow Yellow Purple Purple Purple\nPink Pink Pink Blue Blue Blue Blue Blue Blue Red Red Red Yellow Yellow Yellow Purple Purple Purple\nPink Pink Pink Blue Blue Blue Blue Blue Blue Red Red Red Yellow Yellow Yellow Purple Purple Purple\nPink Pink Pink Blue Blue Blue Purple Purple Purple Red Red Red Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Purple Purple Purple Red Red Red Pink Pink Pink Blue Blue Blue\nPink Pink Pink Blue Blue Blue Purple Purple Purple Red Red Red Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Pink Pink Pink Red Red Red Purple Purple Purple Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Red Red Red Purple Purple Purple Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Pink Pink Pink Red Red Red Purple Purple Purple Blue Blue Blue 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:\nYellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nYellow Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Blue Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack 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 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:\nYellow Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack 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\nYellow 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 Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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\nBlack Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Gray Gray Gray Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple\nBrown Brown Brown Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple\nBrown Brown Brown Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple\nGray Gray Gray Gray Gray Gray Pink Pink Pink Brown Brown Brown\nGray Gray Gray Gray Gray Gray Pink Pink Pink Brown Brown Brown\nGray Gray Gray Gray Gray Gray Pink Pink Pink Brown Brown Brown\n\nOutput:\nGray Gray Gray Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow\nYellow Yellow Yellow Pink Pink Pink Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Pink Pink Pink Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Pink Pink Pink Brown Brown Brown Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow\n\n\nExample 2\nInput:\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown\nPurple Purple Purple Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Yellow Brown Brown Brown\nPurple Purple Purple Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow\nPurple Purple Purple Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow\nPurple Purple Purple Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow\nPink Pink Pink Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink\nPink Pink Pink Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink\nPink Pink Pink Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown\n\nOutput:\nGray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple Pink Pink Pink\nGray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple Pink Pink Pink\nGray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple Pink Pink Pink\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow\nGray Gray Gray Brown Brown Brown Pink Pink Pink Brown Brown Brown Pink Pink Pink\nGray Gray Gray Brown Brown Brown Pink Pink Pink Brown Brown Brown Pink Pink Pink\nGray Gray Gray Brown Brown Brown Pink Pink Pink Brown Brown Brown Pink Pink Pink\nBrown Brown Brown Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Brown Brown Brown\nYellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow\nPurple Purple Purple Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray\nPurple Purple Purple Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray\nPurple Purple Purple Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray\nPink Pink Pink Pink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Purple Purple Purple Brown Brown Brown Yellow Yellow Yellow\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Brown Brown Brown\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Brown Brown Brown\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Brown Brown Brown\n\nOutput:\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Purple Purple Purple Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink\nGray Gray Gray Brown Brown Brown Brown Brown Brown Pink Pink Pink Purple Purple Purple\nGray Gray Gray Brown Brown Brown Brown Brown Brown Pink Pink Pink Purple Purple Purple\nGray Gray Gray Brown Brown Brown Brown Brown Brown Pink Pink Pink Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Pink Pink Pink\nGray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow\nGray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow\nGray Gray Gray Pink Pink Pink Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Gray Gray Gray Brown Brown Brown\nPurple Purple Purple Gray Gray Gray Brown Brown Brown\nPurple Purple Purple Gray Gray Gray Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Pink Pink Pink\nPurple Purple Purple Purple Purple Purple 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 Purple Purple Purple Yellow Yellow Yellow\nGray Gray Gray Purple Purple Purple Yellow Yellow Yellow\nGray Gray Gray Purple Purple Purple Yellow Yellow Yellow\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink\nGray Gray Gray Yellow Yellow Yellow Pink Pink Pink\nGray Gray Gray Gray Gray Gray Brown Brown Brown\nGray Gray Gray Gray Gray Gray Brown Brown Brown\nGray Gray Gray Gray Gray Gray Brown Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Black Pink Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink Pink Black\nBlack Black Pink Pink Pink Black\nPink Pink Pink Black Pink Black\nBlack Black Orange Orange Black Black\nBlack Black Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Black\nBlack Black Black Orange Orange 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 Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Blue Blue Black Yellow Black Yellow Yellow Black Black\nBlack Blue Blue Blue Yellow Yellow Yellow Yellow Black Black\nBlack Blue Blue Blue Black Black Black Black Red Black\nBlack Blue Blue Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black\nBlue Blue Black Yellow Black Yellow Yellow Black\nBlue Blue Blue Yellow Yellow Yellow Yellow Black\nBlue Blue Blue Black Black Black Black Red\nBlue Blue Black Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Green Green Green Black Black\nBlack Black Black Brown Brown Green Green Green Black Black\nBlack Black Red Brown Brown Green Green Green Black Black\nBlack Black Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Black Red Black Black Black\nBlack Black Red Red Red Purple Purple Purple Purple Black\nBlack Black Red Red Red Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Brown Brown Black Black Black Black\nBlack Brown Brown Green Green Green Black\nBlack Brown Brown Green Green Green Black\nRed Brown Brown Green Green Green Black\nRed Red Red Red Red Black Black\nRed Red Red Black Red Black Black\nRed Red Red Purple Purple Purple Purple\nRed Red Red Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Gray Gray 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Pink\nBlack Pink Pink Pink\nBlack Gray Black Black\nGray Gray Gray Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Red Red Brown Brown Black Black Green Green Brown Brown Orange Orange Orange Orange Black Black Black Black Red Red Black Black\nGreen Green Red Red Brown Brown Black Black Green Green Brown Brown Orange Orange Orange Orange Black Black Black Black Red Red Black Black\nBlack Black Brown Brown Orange Orange Brown Brown Red Red Green Green Red Red Orange Orange Green Green Black Black Red Red Brown Brown\nBlack Black Brown Brown Orange Orange Brown Brown Red Red Green Green Red Red Orange Orange Green Green Black Black Red Red Brown Brown\nGreen Green Orange Orange Green Green Brown Brown Black Black Black Black Green Green Green Green Brown Brown Orange Orange Green Green Red Red\nGreen Green Orange Orange Green Green Brown Brown Black Black Black Black Green Green Green Green Brown Brown Orange Orange Green Green Red Red\nOrange Orange Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Green Green Orange Orange Red Red\nOrange Orange Black Black Red Red Red Red Red Red Black Black Black Black Black Black Red Red Green Green Orange Orange Red Red\nBlack Black Orange Orange Brown Brown Orange Orange Green Green Orange Orange Green Green Green Green Red Red Red Red Black Black Black Black\nBlack Black Orange Orange Brown Brown Orange Orange Green Green Orange Orange Green Green Green Green Red Red Red Red Black Black Black Black\nOrange Orange Green Green Brown Brown Green Green Red Red Brown Brown Orange Orange Brown Brown Brown Brown Green Green Black Black Orange Orange\nOrange Orange Green Green Brown Brown Green Green Red Red Brown Brown Orange Orange Brown Brown Brown Brown Green Green Black Black Orange Orange\nBrown Brown Red Red Red Red Orange Orange Brown Brown Green Green Brown Brown Green Green Green Green Orange Orange Green Green Black Black\nBrown Brown Red Red Red Red Orange Orange Brown Brown Green Green Brown Brown Green Green Green Green Orange Orange Green Green Black Black\nBlack Black Green Green Red Red Brown Brown Green Green Black Black Green Green Orange Orange Orange Orange Orange Orange Green Green Black Black\nBlack Black Green Green Red Red Brown Brown Green Green Black Black Green Green Orange Orange Orange Orange Orange Orange Green Green Black Black\nBrown Brown Brown Brown Red Red Red Red Orange Orange Orange Orange Brown Brown Green Green Brown Brown Orange Orange Orange Orange Pink Pink\nBrown Brown Brown Brown Red Red Red Red Orange Orange Orange Orange Brown Brown Green Green Brown Brown Orange Orange Orange Orange Pink Pink\nBrown Brown Brown Brown Red Red Red Red Brown Brown Red Red Brown Brown Green Green Green Green Brown Brown Pink Pink Pink Pink\nBrown Brown Brown Brown Red Red Red Red Brown Brown Red Red Brown Brown Green Green Green Green Brown Brown Pink Pink Pink Pink\nBlack Black Brown Brown Orange Orange Orange Orange Red Red Brown Brown Red Red Red Red Green Green Red Red Green Green Pink Pink\nBlack Black Brown Brown Orange Orange Orange Orange Red Red Brown Brown Red Red Red Red Green Green Red Red Green Green Pink Pink\nOrange Orange Red Red Black Black Brown Brown Brown Brown Black Black Red Red Orange Orange Red Red Orange Orange Orange Orange Green Green\nOrange Orange Red Red Black Black Brown Brown Brown Brown Black Black Red Red Orange Orange Red Red Orange Orange Orange Orange Green Green\n\nOutput:\nGreen Green Green Green Brown Brown Black Black Green Green Brown Brown Orange Orange Orange Orange Black Black Black Black Green Green Black Black\nGreen Green Green Green Brown Brown Black Black Green Green Brown Brown Orange Orange Orange Orange Black Black Black Black Green Green Black Black\nBlack Black Brown Brown Orange Orange Brown Brown Green Green Green Green Green Green Orange Orange Green Green Black Black Green Green Brown Brown\nBlack Black Brown Brown Orange Orange Brown Brown Green Green Green Green Green Green Orange Orange Green Green Black Black Green Green Brown Brown\nGreen Green Orange Orange Green Green Brown Brown Black Black Black Black Green Green Green Green Brown Brown Orange Orange Green Green Green Green\nGreen Green Orange Orange Green Green Brown Brown Black Black Black Black Green Green Green Green Brown Brown Orange Orange Green Green Green Green\nOrange Orange Black Black Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Orange Orange Green Green\nOrange Orange Black Black Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Orange Orange Green Green\nBlack Black Orange Orange Brown Brown Orange Orange Green Green Orange Orange Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Orange Orange Brown Brown Orange Orange Green Green Orange Orange Green Green Green Green Green Green Green Green Black Black Black Black\nOrange Orange Green Green Brown Brown Green Green Green Green Brown Brown Orange Orange Brown Brown Brown Brown Green Green Black Black Orange Orange\nOrange Orange Green Green Brown Brown Green Green Green Green Brown Brown Orange Orange Brown Brown Brown Brown Green Green Black Black Orange Orange\nBrown Brown Green Green Green Green Orange Orange Brown Brown Green Green Brown Brown Green Green Green Green Orange Orange Green Green Black Black\nBrown Brown Green Green Green Green Orange Orange Brown Brown Green Green Brown Brown Green Green Green Green Orange Orange Green Green Black Black\nBlack Black Green Green Green Green Brown Brown Green Green Black Black Green Green Orange Orange Orange Orange Orange Orange Green Green Black Black\nBlack Black Green Green Green Green Brown Brown Green Green Black Black Green Green Orange Orange Orange Orange Orange Orange Green Green Black Black\nBrown Brown Brown Brown Green Green Green Green Orange Orange Orange Orange Brown Brown Green Green Brown Brown Orange Orange Orange Orange Pink Pink\nBrown Brown Brown Brown Green Green Green Green Orange Orange Orange Orange Brown Brown Green Green Brown Brown Orange Orange Orange Orange Pink Pink\nBrown Brown Brown Brown Green Green Green Green Brown Brown Green Green Brown Brown Green Green Green Green Brown Brown Pink Pink Pink Pink\nBrown Brown Brown Brown Green Green Green Green Brown Brown Green Green Brown Brown Green Green Green Green Brown Brown Pink Pink Pink Pink\nBlack Black Brown Brown Orange Orange Orange Orange Green Green Brown Brown Green Green Green Green Green Green Green Green Green Green Pink Pink\nBlack Black Brown Brown Orange Orange Orange Orange Green Green Brown Brown Green Green Green Green Green Green Green Green Green Green Pink Pink\nOrange Orange Green Green Black Black Brown Brown Brown Brown Black Black Green Green Orange Orange Green Green Orange Orange Orange Orange Green Green\nOrange Orange Green Green Black Black Brown Brown Brown Brown Black Black Green Green Orange Orange Green Green Orange Orange Orange Orange Green Green\n\n\nExample 2\nInput:\nGray Gray Yellow Yellow Blue Blue Blue Blue Gray Gray Purple Purple Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Purple Purple Purple Purple Blue Blue Gray Gray\nGray Gray Yellow Yellow Blue Blue Blue Blue Gray Gray Purple Purple Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Purple Purple Purple Purple Blue Blue Gray Gray\nBlue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Gray Gray Black Black Yellow Yellow Yellow Yellow Black Black Gray Gray\nBlue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Gray Gray Black Black Yellow Yellow Yellow Yellow Black Black Gray Gray\nGray Gray Yellow Yellow Blue Blue Purple Purple Gray Gray Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Black Black Purple Purple Gray Gray Blue Blue\nGray Gray Yellow Yellow Blue Blue Purple Purple Gray Gray Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Black Black Purple Purple Gray Gray Blue Blue\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black Gray Gray Yellow Yellow Black Black Gray Gray Black Black Gray Gray Purple Purple Blue Blue Purple Purple\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Black Black Gray Gray Yellow Yellow Black Black Gray Gray Black Black Gray Gray Purple Purple Blue Blue Purple Purple\nYellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Black Black Purple Purple Gray Gray\nYellow Yellow Pink Pink Pink Pink Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Black Black Purple Purple Gray Gray\nPurple Purple Yellow Yellow Blue Blue Blue Blue Black Black Purple Purple Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Blue Blue Purple Purple Black Black\nPurple Purple Yellow Yellow Blue Blue Blue Blue Black Black Purple Purple Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Blue Blue Purple Purple Black Black\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Purple Purple Yellow Yellow Gray Gray Black Black Yellow Yellow Gray Gray Gray Gray Black Black Black Black\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Purple Purple Yellow Yellow Gray Gray Black Black Yellow Yellow Gray Gray Gray Gray Black Black Black Black\nBlue Blue Blue Blue Yellow Yellow Gray Gray Purple Purple Purple Purple Purple Purple Blue Blue Black Black Gray Gray Yellow Yellow Purple Purple Gray Gray Gray Gray\nBlue Blue Blue Blue Yellow Yellow Gray Gray Purple Purple Purple Purple Purple Purple Blue Blue Black Black Gray Gray Yellow Yellow Purple Purple Gray Gray Gray Gray\nBlack Black Purple Purple Gray Gray Gray Gray Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Purple Purple\nBlack Black Purple Purple Gray Gray Gray Gray Yellow Yellow Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Purple Purple\nGray Gray Purple Purple Black Black Blue Blue Purple Purple Yellow Yellow Gray Gray Blue Blue Gray Gray Gray Gray Purple Purple Black Black Gray Gray Yellow Yellow\nGray Gray Purple Purple Black Black Blue Blue Purple Purple Yellow Yellow Gray Gray Blue Blue Gray Gray Gray Gray Purple Purple Black Black Gray Gray Yellow Yellow\nBlue Blue Blue Blue Gray Gray Blue Blue Blue Blue Purple Purple Purple Purple Gray Gray Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black\nBlue Blue Blue Blue Gray Gray Blue Blue Blue Blue Purple Purple Purple Purple Gray Gray Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black\nGray Gray Purple Purple Purple Purple Blue Blue Black Black Gray Gray Purple Purple Blue Blue Purple Purple Gray Gray Black Black Purple Purple Blue Blue Gray Gray\nGray Gray Purple Purple Purple Purple Blue Blue Black Black Gray Gray Purple Purple Blue Blue Purple Purple Gray Gray Black Black Purple Purple Blue Blue Gray Gray\n\nOutput:\nGray Gray Gray Gray Blue Blue Blue Blue Gray Gray Purple Purple Gray Gray Gray Gray Purple Purple Gray Gray Purple Purple Purple Purple Blue Blue Gray Gray\nGray Gray Gray Gray Blue Blue Blue Blue Gray Gray Purple Purple Gray Gray Gray Gray Purple Purple Gray Gray Purple Purple Purple Purple Blue Blue Gray Gray\nBlue Blue Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Gray Gray\nBlue Blue Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Black Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Gray Gray Blue Blue Purple Purple Gray Gray Purple Purple Purple Purple Gray Gray Gray Gray Purple Purple Black Black Purple Purple Gray Gray Blue Blue\nGray Gray Gray Gray Blue Blue Purple Purple Gray Gray Purple Purple Purple Purple Gray Gray Gray Gray Purple Purple Black Black Purple Purple Gray Gray Blue Blue\nGray Gray Gray Gray Blue Blue Blue Blue Black Black Gray Gray Gray Gray Black Black Gray Gray Black Black Gray Gray Purple Purple Blue Blue Purple Purple\nGray Gray Gray Gray Blue Blue Blue Blue Black Black Gray Gray Gray Gray Black Black Gray Gray Black Black Gray Gray Purple Purple Blue Blue Purple Purple\nGray Gray Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Blue Blue Blue Blue Black Black Purple Purple Gray Gray\nGray Gray Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Blue Blue Blue Blue Black Black Purple Purple Gray Gray\nPurple Purple Gray Gray Blue Blue Blue Blue Black Black Purple Purple Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Blue Blue Purple Purple Black Black\nPurple Purple Gray Gray Blue Blue Blue Blue Black Black Purple Purple Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Blue Blue Purple Purple Black Black\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Purple Purple Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nPink Pink Pink Pink Pink Pink Blue Blue Blue Blue Purple Purple Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlue Blue Blue Blue Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Blue Blue Black Black Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray\nBlue Blue Blue Blue Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Blue Blue Black Black Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray\nBlack Black Purple Purple Gray Gray Gray Gray Gray Gray Blue Blue Black Black Black Black Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Purple Purple\nBlack Black Purple Purple Gray Gray Gray Gray Gray Gray Blue Blue Black Black Black Black Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Purple Purple\nGray Gray Purple Purple Black Black Blue Blue Purple Purple Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Purple Purple Black Black Gray Gray Gray Gray\nGray Gray Purple Purple Black Black Blue Blue Purple Purple Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Purple Purple Black Black Gray Gray Gray Gray\nBlue Blue Blue Blue Gray Gray Blue Blue Blue Blue Purple Purple Purple Purple Gray Gray Blue Blue Black Black Black Black Black Black Gray Gray Black Black\nBlue Blue Blue Blue Gray Gray Blue Blue Blue Blue Purple Purple Purple Purple Gray Gray Blue Blue Black Black Black Black Black Black Gray Gray Black Black\nGray Gray Purple Purple Purple Purple Blue Blue Black Black Gray Gray Purple Purple Blue Blue Purple Purple Gray Gray Black Black Purple Purple Blue Blue Gray Gray\nGray Gray Purple Purple Purple Purple Blue Blue Black Black Gray Gray Purple Purple Blue Blue Purple Purple Gray Gray Black Black Purple Purple Blue Blue Gray Gray\n\n\nExample 3\nInput:\nBlack Black Green Green Blue Blue Blue Blue Black Black Green Green Green Green Black Black Brown Brown Blue Blue Brown Brown Black Black Gray Gray Brown Brown\nBlack Black Green Green Blue Blue Blue Blue Black Black Green Green Green Green Black Black Brown Brown Blue Blue Brown Brown Black Black Gray Gray Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Brown Brown Gray Gray Blue Blue Green Green Black Black Black Black Green Green Blue Blue Green Green Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Brown Brown Gray Gray Blue Blue Green Green Black Black Black Black Green Green Blue Blue Green Green Brown Brown\nBrown Brown Blue Blue Black Black Brown Brown Green Green Blue Blue Blue Blue Brown Brown Green Green Green Green Gray Gray Gray Gray Green Green Black Black\nBrown Brown Blue Blue Black Black Brown Brown Green Green Blue Blue Blue Blue Brown Brown Green Green Green Green Gray Gray Gray Gray Green Green Black Black\nGreen Green Brown Brown Gray Gray Brown Brown Black Black Black Black Gray Gray Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Brown Brown Gray Gray Brown Brown Black Black Black Black Gray Gray Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Brown Brown Green Green Brown Brown Green Green Green Green Blue Blue Blue Blue Blue Blue Black Black Blue Blue Green Green Blue Blue Black Black\nGreen Green Brown Brown Green Green Brown Brown Green Green Green Green Blue Blue Blue Blue Blue Blue Black Black Blue Blue Green Green Blue Blue Black Black\nGray Gray Brown Brown Blue Blue Brown Brown Brown Brown Green Green Brown Brown Brown Brown Green Green Black Black Black Black Gray Gray Green Green Gray Gray\nGray Gray Brown Brown Blue Blue Brown Brown Brown Brown Green Green Brown Brown Brown Brown Green Green Black Black Black Black Gray Gray Green Green Gray Gray\nBlack Black Green Green Brown Brown Gray Gray Brown Brown Green Green Gray Gray Gray Gray Green Green Blue Blue Blue Blue Gray Gray Brown Brown Blue Blue\nBlack Black Green Green Brown Brown Gray Gray Brown Brown Green Green Gray Gray Gray Gray Green Green Blue Blue Blue Blue Gray Gray Brown Brown Blue Blue\nGray Gray Gray Gray Red Red Red Red Brown Brown Gray Gray Green Green Green Green Green Green Blue Blue Gray Gray Black Black Gray Gray Brown Brown\nGray Gray Gray Gray Red Red Red Red Brown Brown Gray Gray Green Green Green Green Green Green Blue Blue Gray Gray Black Black Gray Gray Brown Brown\nGray Gray Green Green Blue Blue Blue Blue Black Black Brown Brown Gray Gray Black Black Blue Blue Blue Blue Blue Blue Green Green Brown Brown Green Green\nGray Gray Green Green Blue Blue Blue Blue Black Black Brown Brown Gray Gray Black Black Blue Blue Blue Blue Blue Blue Green Green Brown Brown Green Green\nBlack Black Red Red Gray Gray Red Red Blue Blue Blue Blue Black Black Green Green Gray Gray Green Green Blue Blue Green Green Brown Brown Brown Brown\nBlack Black Red Red Gray Gray Red Red Blue Blue Blue Blue Black Black Green Green Gray Gray Green Green Blue Blue Green Green Brown Brown Brown Brown\nGray Gray Brown Brown Brown Brown Green Green Black Black Gray Gray Green Green Brown Brown Green Green Gray Gray Gray Gray Gray Gray Blue Blue Black Black\nGray Gray Brown Brown Brown Brown Green Green Black Black Gray Gray Green Green Brown Brown Green Green Gray Gray Gray Gray Gray Gray Blue Blue Black Black\nGreen Green Black Black Gray Gray Brown Brown Blue Blue Black Black Black Black Blue Blue Brown Brown Green Green Blue Blue Blue Blue Brown Brown Blue Blue\nGreen Green Black Black Gray Gray Brown Brown Blue Blue Black Black Black Black Blue Blue Brown Brown Green Green Blue Blue Blue Blue Brown Brown Blue Blue\nBlue Blue Black Black Blue Blue Green Green Blue Blue Blue Blue Black Black Brown Brown Gray Gray Green Green Black Black Gray Gray Black Black Brown Brown\nBlue Blue Black Black Blue Blue Green Green Blue Blue Blue Blue Black Black Brown Brown Gray Gray Green Green Black Black Gray Gray Black Black Brown Brown\nBrown Brown Gray Gray Gray Gray Black Black Brown Brown Green Green Brown Brown Black Black Gray Gray Blue Blue Blue Blue Gray Gray Blue Blue Red Red\nBrown Brown Gray Gray Gray Gray Black Black Brown Brown Green Green Brown Brown Black Black Gray Gray Blue Blue Blue Blue Gray Gray Blue Blue Red Red\n\nOutput:\nBlack Black Green Green Blue Blue Blue Blue Black Black Green Green Green Green Black Black Brown Brown Blue Blue Brown Brown Black Black Red Red Brown Brown\nBlack Black Green Green Blue Blue Blue Blue Black Black Green Green Green Green Black Black Brown Brown Blue Blue Brown Brown Black Black Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Brown Brown Red Red Blue Blue Green Green Black Black Black Black Green Green Blue Blue Green Green Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Brown Brown Red Red Blue Blue Green Green Black Black Black Black Green Green Blue Blue Green Green Brown Brown\nBrown Brown Blue Blue Black Black Brown Brown Green Green Blue Blue Blue Blue Brown Brown Green Green Green Green Red Red Red Red Green Green Black Black\nBrown Brown Blue Blue Black Black Brown Brown Green Green Blue Blue Blue Blue Brown Brown Green Green Green Green Red Red Red Red Green Green Black Black\nGreen Green Brown Brown Red Red Brown Brown Black Black Black Black Red Red Green Green Red Red Red Red Red Red Red Red Red Red Red Red\nGreen Green Brown Brown Red Red Brown Brown Black Black Black Black Red Red Green Green Red Red Red Red Red Red Red Red Red Red Red Red\nGreen Green Brown Brown Green Green Brown Brown Green Green Green Green Blue Blue Blue Blue Blue Blue Black Black Blue Blue Green Green Blue Blue Black Black\nGreen Green Brown Brown Green Green Brown Brown Green Green Green Green Blue Blue Blue Blue Blue Blue Black Black Blue Blue Green Green Blue Blue Black Black\nRed Red Brown Brown Blue Blue Brown Brown Brown Brown Green Green Brown Brown Brown Brown Green Green Black Black Black Black Red Red Green Green Red Red\nRed Red Brown Brown Blue Blue Brown Brown Brown Brown Green Green Brown Brown Brown Brown Green Green Black Black Black Black Red Red Green Green Red Red\nBlack Black Green Green Brown Brown Red Red Brown Brown Green Green Red Red Red Red Green Green Blue Blue Blue Blue Red Red Brown Brown Blue Blue\nBlack Black Green Green Brown Brown Red Red Brown Brown Green Green Red Red Red Red Green Green Blue Blue Blue Blue Red Red Brown Brown Blue Blue\nRed Red Red Red Red Red Red Red Brown Brown Red Red Green Green Green Green Green Green Blue Blue Red Red Black Black Red Red Brown Brown\nRed Red Red Red Red Red Red Red Brown Brown Red Red Green Green Green Green Green Green Blue Blue Red Red Black Black Red Red Brown Brown\nRed Red Green Green Blue Blue Blue Blue Black Black Brown Brown Red Red Black Black Blue Blue Blue Blue Blue Blue Green Green Brown Brown Green Green\nRed Red Green Green Blue Blue Blue Blue Black Black Brown Brown Red Red Black Black Blue Blue Blue Blue Blue Blue Green Green Brown Brown Green Green\nBlack Black Red Red Red Red Red Red Blue Blue Blue Blue Black Black Green Green Red Red Green Green Blue Blue Green Green Brown Brown Brown Brown\nBlack Black Red Red Red Red Red Red Blue Blue Blue Blue Black Black Green Green Red Red Green Green Blue Blue Green Green Brown Brown Brown Brown\nRed Red Brown Brown Brown Brown Green Green Black Black Red Red Green Green Brown Brown Green Green Red Red Red Red Red Red Blue Blue Black Black\nRed Red Brown Brown Brown Brown Green Green Black Black Red Red Green Green Brown Brown Green Green Red Red Red Red Red Red Blue Blue Black Black\nGreen Green Black Black Red Red Brown Brown Blue Blue Black Black Black Black Blue Blue Brown Brown Green Green Blue Blue Blue Blue Brown Brown Blue Blue\nGreen Green Black Black Red Red Brown Brown Blue Blue Black Black Black Black Blue Blue Brown Brown Green Green Blue Blue Blue Blue Brown Brown Blue Blue\nBlue Blue Black Black Blue Blue Green Green Blue Blue Blue Blue Black Black Brown Brown Red Red Green Green Black Black Red Red Black Black Brown Brown\nBlue Blue Black Black Blue Blue Green Green Blue Blue Blue Blue Black Black Brown Brown Red Red Green Green Black Black Red Red Black Black Brown Brown\nBrown Brown Red Red Red Red Black Black Brown Brown Green Green Brown Brown Black Black Red Red Blue Blue Blue Blue Red Red Blue Blue Red Red\nBrown Brown Red Red Red Red Black Black Brown Brown Green Green Brown Brown Black Black Red Red Blue Blue Blue Blue Red Red Blue Blue Red Red\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Blue Blue Brown Brown Brown Brown Yellow Yellow Yellow Yellow Red Red Black Black Blue Blue Blue Blue Yellow Yellow Red Red Blue Blue Brown Brown\nYellow Yellow Blue Blue Brown Brown Brown Brown Yellow Yellow Yellow Yellow Red Red Black Black Blue Blue Blue Blue Yellow Yellow Red Red Blue Blue Brown Brown\nRed Red Yellow Yellow Red Red Yellow Yellow Yellow Yellow Brown Brown Red Red Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Red Red Black Black\nRed Red Yellow Yellow Red Red Yellow Yellow Yellow Yellow Brown Brown Red Red Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Red Red Black Black\nBlue Blue Black Black Blue Blue Blue Blue Black Black Brown Brown Blue Blue Blue Blue Red Red Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue Blue Blue Black Black Brown Brown Blue Blue Blue Blue Red Red Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue\nBrown Brown Black Black Red Red Blue Blue Brown Brown Blue Blue Red Red Red Red Gray Gray Yellow Yellow Gray Gray Red Red Brown Brown Yellow Yellow\nBrown Brown Black Black Red Red Blue Blue Brown Brown Blue Blue Red Red Red Red Gray Gray Yellow Yellow Gray Gray Red Red Brown Brown Yellow Yellow\nBlack Black Blue Blue Yellow Yellow Black Black Blue Blue Brown Brown Blue Blue Red Red Black Black Gray Gray Brown Brown Black Black Black Black Yellow Yellow\nBlack Black Blue Blue Yellow Yellow Black Black Blue Blue Brown Brown Blue Blue Red Red Black Black Gray Gray Brown Brown Black Black Black Black Yellow Yellow\nRed Red Brown Brown Brown Brown Blue Blue Blue Blue Yellow Yellow Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Blue Blue Brown Brown Blue Blue\nRed Red Brown Brown Brown Brown Blue Blue Blue Blue Yellow Yellow Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Blue Blue Brown Brown Blue Blue\nBlack Black Black Black Black Black Black Black Red Red Yellow Yellow Red Red Brown Brown Red Red Black Black Yellow Yellow Red Red Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Red Red Yellow Yellow Red Red Brown Brown Red Red Black Black Yellow Yellow Red Red Black Black Yellow Yellow\nBrown Brown Yellow Yellow Red Red Black Black Brown Brown Blue Blue Blue Blue Brown Brown Yellow Yellow Yellow Yellow Blue Blue Brown Brown Blue Blue Black Black\nBrown Brown Yellow Yellow Red Red Black Black Brown Brown Blue Blue Blue Blue Brown Brown Yellow Yellow Yellow Yellow Blue Blue Brown Brown Blue Blue Black Black\nBlack Black Blue Blue Red Red Brown Brown Blue Blue Yellow Yellow Blue Blue Black Black Red Red Blue Blue Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Blue Blue Red Red Brown Brown Blue Blue Yellow Yellow Blue Blue Black Black Red Red Blue Blue Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Red Red Brown Brown Blue Blue Black Black Brown Brown Red Red Black Black Black Black Brown Brown Blue Blue Yellow Yellow Yellow Yellow Red Red\nYellow Yellow Red Red Brown Brown Blue Blue Black Black Brown Brown Red Red Black Black Black Black Brown Brown Blue Blue Yellow Yellow Yellow Yellow Red Red\nBrown Brown Yellow Yellow Yellow Yellow Red Red Brown Brown Blue Blue Black Black Brown Brown Red Red Yellow Yellow Red Red Black Black Blue Blue Blue Blue\nBrown Brown Yellow Yellow Yellow Yellow Red Red Brown Brown Blue Blue Black Black Brown Brown Red Red Yellow Yellow Red Red Black Black Blue Blue Blue Blue\nYellow Yellow Red Red Brown Brown Blue Blue Brown Brown Yellow Yellow Brown Brown Red Red Blue Blue Yellow Yellow Brown Brown Red Red Red Red Brown Brown\nYellow Yellow Red Red Brown Brown Blue Blue Brown Brown Yellow Yellow Brown Brown Red Red Blue Blue Yellow Yellow Brown Brown Red Red Red Red Brown Brown\nRed Red Red Red Red Red Brown Brown Brown Brown Blue Blue Red Red Red Red Black Black Black Black Brown Brown Brown Brown Red Red Gray Gray\nRed Red Red Red Red Red Brown Brown Brown Brown Blue Blue Red Red Red Red Black Black Black Black Brown Brown Brown Brown Red Red Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Blue Blue Brown Brown Brown Brown Gray Gray Gray Gray Red Red Black Black Blue Blue Blue Blue Gray Gray Red Red Blue Blue Brown Brown\nGray Gray Blue Blue Brown Brown Brown Brown Gray Gray Gray Gray Red Red Black Black Blue Blue Blue Blue Gray Gray Red Red Blue Blue Brown Brown\nRed Red Gray Gray Red Red Gray Gray Gray Gray Brown Brown Red Red Blue Blue Gray Gray Gray Gray Gray Gray Brown Brown Red Red Black Black\nRed Red Gray Gray Red Red Gray Gray Gray Gray Brown Brown Red Red Blue Blue Gray Gray Gray Gray Gray Gray Brown Brown Red Red Black Black\nBlue Blue Black Black Blue Blue Blue Blue Black Black Brown Brown Blue Blue Blue Blue Red Red Gray Gray Brown Brown Brown Brown Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue Blue Blue Black Black Brown Brown Blue Blue Blue Blue Red Red Gray Gray Brown Brown Brown Brown Blue Blue Blue Blue\nBrown Brown Black Black Red Red Blue Blue Brown Brown Blue Blue Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Brown Brown Gray Gray\nBrown Brown Black Black Red Red Blue Blue Brown Brown Blue Blue Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Brown Brown Gray Gray\nBlack Black Blue Blue Gray Gray Black Black Blue Blue Brown Brown Blue Blue Red Red Black Black Gray Gray Brown Brown Black Black Black Black Gray Gray\nBlack Black Blue Blue Gray Gray Black Black Blue Blue Brown Brown Blue Blue Red Red Black Black Gray Gray Brown Brown Black Black Black Black Gray Gray\nRed Red Brown Brown Brown Brown Blue Blue Blue Blue Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Brown Brown Blue Blue\nRed Red Brown Brown Brown Brown Blue Blue Blue Blue Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Brown Brown Blue Blue\nBlack Black Black Black Black Black Black Black Red Red Gray Gray Red Red Brown Brown Red Red Black Black Gray Gray Red Red Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Red Red Gray Gray Red Red Brown Brown Red Red Black Black Gray Gray Red Red Black Black Gray Gray\nBrown Brown Gray Gray Red Red Black Black Brown Brown Blue Blue Blue Blue Brown Brown Gray Gray Gray Gray Blue Blue Brown Brown Blue Blue Black Black\nBrown Brown Gray Gray Red Red Black Black Brown Brown Blue Blue Blue Blue Brown Brown Gray Gray Gray Gray Blue Blue Brown Brown Blue Blue Black Black\nBlack Black Blue Blue Red Red Brown Brown Blue Blue Gray Gray Blue Blue Black Black Red Red Blue Blue Red Red Gray Gray Gray Gray Gray Gray\nBlack Black Blue Blue Red Red Brown Brown Blue Blue Gray Gray Blue Blue Black Black Red Red Blue Blue Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Red Red Brown Brown Blue Blue Black Black Brown Brown Red Red Black Black Black Black Brown Brown Blue Blue Gray Gray Gray Gray Red Red\nGray Gray Red Red Brown Brown Blue Blue Black Black Brown Brown Red Red Black Black Black Black Brown Brown Blue Blue Gray Gray Gray Gray Red Red\nBrown Brown Gray Gray Gray Gray Red Red Brown Brown Blue Blue Black Black Brown Brown Red Red Gray Gray Red Red Black Black Blue Blue Blue Blue\nBrown Brown Gray Gray Gray Gray Red Red Brown Brown Blue Blue Black Black Brown Brown Red Red Gray Gray Red Red Black Black Blue Blue Blue Blue\nGray Gray Red Red Brown Brown Blue Blue Brown Brown Gray Gray Brown Brown Red Red Blue Blue Gray Gray Brown Brown Red Red Red Red Brown Brown\nGray Gray Red Red Brown Brown Blue Blue Brown Brown Gray Gray Brown Brown Red Red Blue Blue Gray Gray Brown Brown Red Red Red Red Brown Brown\nRed Red Red Red Red Red Brown Brown Brown Brown Blue Blue Red Red Red Red Black Black Black Black Brown Brown Brown Brown Red Red Gray Gray\nRed Red Red Red Red Red Brown Brown Brown Brown Blue Blue Red Red Red Red Black Black Black Black Brown Brown Brown Brown Red Red Gray Gray\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPurple Black Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Black Black\nBlack Black Yellow Yellow Yellow Black Black\nPurple Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Green Green Black Black\nBlack Black Green Green Green Black Black\nBlack Black Green Green Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPink Black Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Green Green Green Black Black\nPink Black Green Green Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Green Green Black Black\nBlack Black Green Green Green Black Black\nBlack Black Green Green Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Black Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Black Black\nBlack Black Green Green Green Black Black\nOrange Black Green Green Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Black Black\nBlack Black Pink Pink Pink Black Black\nGray Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Green Red Blue Black Black Yellow Black Black Black Black Black Black\nBlack Yellow Black 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 Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Green Black Black Black Black Black\nYellow Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Blue Black Yellow Green Yellow Green Red Blue Black Black Yellow Black Black Black Black Black Black\nBlack Yellow Black Red Blue Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Red Blue Black Yellow Green Black Black Black Black Black\nYellow Black Black Black Red 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\n\n\nExample 2\nInput:\nBlack Green Black Black Black Black Black\nBlack Black Blue Black Blue Green Black\nBlack Black Black Yellow Black Black Blue\nBlack Black Black Black Black Green Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Green Black Black Black Black Black\nBlack Black Blue Blue Yellow Green Black\nBlack Black Pink Yellow Pink Black Blue\nBlack Black Black Black Yellow Green Pink\nBlack Black Black Black Red Blue Black\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Green Black Black Black Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow\nBlack Blue Black Yellow Black Black Blue\nBlack Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Black Yellow Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Blue Black\nYellow Green Black Black Black Yellow Black\nBlack Black Black Black Black Black Blue\nBlack Black Black Blue Black Black Yellow\nBlack Blue Black Yellow Black Black Blue\nBlack Pink Blue Black Black Black Pink\nBlack Black Pink Black Black Black Black\nBlack Black Black Black Blue Black Black\nBlack Black Blue Black Yellow Black Black\nBlack Black Pink Black Red Blue Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Green\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Black Yellow Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Green\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black 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 Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green 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 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 Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 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 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 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Red Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Yellow\nBlack Black Black Black Black Gray Black Purple Black Black\nBlack Black Black Black Black Black Gray Black Purple Brown\nBlack Black Black Black Black Black Black Gray Black Purple\nBlack Black Black 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\nBlack Black Black Black Purple Black Black Yellow Purple Black\nBlack Black Black Gray Black Purple Black Purple Yellow Purple\nBlack Black Black Black Gray Black Purple Brown Purple Yellow\nBlack Black Black Black Black Gray Black Purple Brown Purple\nBlack Black Black Black Purple Black Gray Yellow Purple Brown\nBlack Black Black Gray Black Purple Black Gray Brown Purple\nBlack Black Black Black Gray Black Purple Brown Purple 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 Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Pink Black Black Black\nPink Black Black Blue Black Black Black Pink Black Black\nBlack Pink Black Black Blue Black Black Black Pink Black\nBlack Black Pink Black Black Blue Black Black Black Pink\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Black Blue Black Pink Black Black Black Pink Black\nBlack Blue Pink Blue Black Pink Black Pink Black Pink\nBlue Pink Blue Pink Blue Black Pink Black Pink Black\nPink Blue Pink Blue Pink Pink Black Pink Black Pink\nBlue Pink Blue Pink Pink Pink Pink Black Pink Black\nPink Blue Pink Blue Pink Pink Pink Pink Black Pink\nBlack Pink Blue Pink Blue Pink Pink Black Pink Black\nPink Black Pink Blue Pink Black Black Pink Black Black\nBlack Pink Black Pink Black Pink Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black 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\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Green Black Orange Black Black Black Black Black\nBlack Black Black Green Black Orange Black Black Black Black\n\nOutput:\nBlack Black Yellow Black Yellow Black Yellow Black Black Black\nBlack Black Black Yellow Black Yellow Black Yellow Black Black\nBlack Black Yellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nBlack Black Yellow Black Yellow Black Yellow Black Yellow Black\nBlack Green Black Yellow Black Yellow Black Yellow Black Black\nGreen Black Orange Black Yellow Black Yellow Black Yellow Black\nBlack Green Black Orange Black Yellow Black Orange Black Yellow\nGreen Black Green Black Orange Black Orange Black Black Black\nBlack Green Black Orange Black Orange Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Gray Black Pink Black Blue Black Black Black\nBlack Black Black Gray Black Pink Black Blue Black Black\nBlack Black Black Black Gray Black Pink Black Blue Black\nBlack Black Black Black Brown Gray Black Pink Black Blue\nBlack Black Black Black Black Brown Gray Black Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black\nGray Black Pink Black Blue Black Blue Black Blue Black\nBlack Gray Black Pink Black Blue Black Blue Black Blue\nBlack Black Gray Black Pink Black Blue Black Blue Black\nBlack Gray Brown Gray Black Pink Brown Blue Black Blue\nGray Black Pink Brown Gray Brown Pink Brown Blue Black\nBlack Gray Black Pink Brown Blue Brown Pink Black Blue\nBlack Black Gray Brown Pink Brown Blue Black Blue Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Black Black Black Black\nBlack Black Black Black Black Orange Yellow Yellow Blue Blue Blue Blue Yellow Yellow Orange Black Black Black\nBlack Black Black Black Black Orange Yellow Blue Green Green Green Green Blue Yellow Orange Black Black Black\nBlack Black Black Black Black Orange Yellow Blue Green Red Red Green Blue Yellow Orange Orange Black Black\nBlack Black Black Black Black Orange Yellow Blue Green Red Red Green Blue Yellow Orange Black Black Black\nBlack Black Black Black Black Orange Yellow Blue Green Green Green Green Blue Yellow Orange Black Black Black\nBlack Black Black Black Black Orange Yellow Yellow Blue Blue Blue Blue Yellow Yellow Orange Black Black Black\nBlack Black Black Black Black Black Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Red Red Green Blue Yellow Orange\nBlue Red Red Green Blue Yellow Orange\nBlue Green Green Green Blue Yellow Orange\nYellow Blue Blue Blue Yellow Yellow Orange\nYellow Yellow Yellow Yellow Yellow Orange Black\nOrange Orange Orange Orange Orange 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\nOrange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Blue Yellow Yellow Orange Black Black\nGreen Green Blue Yellow Orange Black Black\nRed Green Blue Yellow Orange Orange Black\nRed Green Blue Yellow Orange Black Black\nGreen Green Blue Yellow Orange Black Black\nBlue Blue Yellow Yellow Orange Black Black\nOrange Orange Orange Orange 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 Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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```\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Orange Black\nOrange Yellow Blue Blue Blue Blue Yellow Yellow Orange\nOrange Blue Green Green Green Green Blue Yellow Orange\nOrange Blue Green Red Red Green Blue Yellow Orange\nOrange Blue Green Red Red Green Blue Yellow Orange\nOrange Blue Green Green Green Green Blue Yellow Orange\nOrange Yellow Blue Blue Blue Blue Yellow Yellow Orange\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Orange Black\nBlack Orange Orange Orange Orange Orange Orange Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Black Purple Purple Black Black Black Black Black Purple\nPurple Black Black Red Blue Black Black Black Black Black Purple\nPurple Pink Blue Blue Blue Blue Black Black Black Black Purple\nPurple Orange Orange Black Black Purple Green Green Green Yellow Purple\nPurple Blue Brown Blue Black Black Green Black Black Black Purple\nPurple Blue Blue Blue Black Black Green Green Black Black Purple\nPurple Black Black Blue Black Black Black Black Black Black Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nBlack Black Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black\nPurple Purple Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Black Black Purple Black Black Black\nPurple Purple Purple Black Black Purple Purple Black Black\nBlack Black Purple Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Black Purple Black Orange\nOrange Black Black Black Black Yellow Black Orange\nOrange Black Black Black Green Yellow Brown Orange\nOrange Black Black Red Green Purple Black Orange\nOrange Black Black Gray Green Purple Orange Orange\nOrange Black Black Green Green Purple Yellow Orange\nOrange Brown Brown Green Green Orange Yellow Orange\nOrange Brown Black Green Purple Purple Purple Orange\nOrange Black Black Green Green Purple Gray Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nBlack Black Black Black Orange Black\nBlack Black Black Black Orange Black\nBlack Black Black Orange Orange Orange\nBlack Black Orange Orange Orange Black\nBlack Black Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange\nOrange Orange Orange Orange Black Orange\nOrange Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Black Black Purple Purple Green Brown\nBrown Black Black Black Purple Yellow Brown Brown\nBrown Gray Blue Green Green Yellow Brown Brown\nBrown Black Black Gray Brown Yellow Yellow Brown\nBrown Black Black Purple Yellow Yellow Yellow Brown\nBrown Black Black Black Gray Gray Black Brown\nBrown Black Black Black Purple Black Black Brown\nBrown Black Black Black Purple Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Brown Brown Brown\nBlack Black Black Brown Brown Black\nBrown Brown Brown Brown Brown Black\nBlack Black Brown Black Brown Brown\nBlack Black Brown Brown Brown Brown\nBlack Black Black Brown Brown Black\nBlack Black Black Brown Black Black\nBlack Black Black Brown Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Blue Yellow Yellow Yellow Yellow Green Black Black Pink\nPink Pink Brown Green Green Brown Red Black Black Pink\nPink Pink Brown Orange Brown Brown Red Purple Purple Pink\nPink Green Green Gray Brown Brown Purple Purple Purple Pink\nPink Red Pink Pink Brown Yellow Brown Black Black Pink\nPink Red Red Pink Yellow Yellow Black Black Black Pink\nPink Black Pink Pink Green Black Black Black Black Pink\nPink Black Black Black Purple Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Pink Pink Pink Black Black\nPink Pink Black Pink Pink Black Black Black\nBlack Black Black Pink Black Black Black Black\nBlack Black Black Pink Black Black Black Black\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Pink Black Black Black Black Black Gray Black Black Black Black Black Orange\nBlack Black Orange Blue Black Yellow Black Black Black Orange Black Black Purple Black\nBlack Black Black Orange Yellow Black Orange Black Pink Black Black Purple Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Red Black Black\nBlack Purple Orange Black Orange Black Black Gray Black Black Yellow Black Black Black\nPurple Black Black Black Blue Black Black Black Pink Black Black Orange Black Brown\nBlack Black Black Orange Yellow Red Pink Black Pink Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Blue Black Yellow\nBlack Black Brown Black Black Blue Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Purple Blue Black Black Blue Orange\nBlue Black Black Black Black Black Black Orange Black Black Black Black Black Black\nRed Black Purple Red Black Brown Yellow Orange Orange Black Purple Black Black Brown\nBlack Black Black Purple Black Orange Purple Black Black Black Black Black Pink Black\n\nOutput:\nBlack Purple Black Black Black Black Black Orange Black Black Black Black Black Gray\nBlack Black Gray Red Black Blue Black Black Black Gray Black Black Pink Black\nBlack Black Black Gray Blue Black Gray Black Purple Black Black Pink Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Blue Black Black\nBlack Pink Gray Black Gray Black Black Orange Black Black Blue Black Black Black\nPink Black Black Black Red Black Black Black Purple Black Black Gray Black Green\nBlack Black Black Gray Blue Blue Purple Black Purple Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Red Black Blue\nBlack Black Green Black Black Red Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Pink Red Black Black Red Gray\nRed Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlue Black Pink Blue Black Green Blue Gray Gray Black Pink Black Black Green\nBlack Black Black Pink Black Gray Pink Black Black Black Black Black Purple Black\n\n\nExample 2\nInput:\nOrange Black Red Black Red Black Black\nBlack Black Black Brown Brown Black Purple\nBlack Black Pink Black Yellow Black Black\nBlack Black Black Purple Black Black Black\nBlue Purple Black Gray Pink Black Black\nBlack Yellow Black Black Black Black Brown\nBlack Black Purple Yellow Black Black Black\n\nOutput:\nGray Black Blue Black Blue Black Black\nBlack Black Black Green Green Black Pink\nBlack Black Purple Black Blue Black Black\nBlack Black Black Pink Black Black Black\nRed Pink Black Orange Purple Black Black\nBlack Blue Black Black Black Black Green\nBlack Black Pink Blue Black Black Black\n\n\nExample 3\nInput:\nBlack Black Red Black Blue Pink Gray Black Black\nYellow Black Black Black Black Brown Black Black Black\nOrange Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Orange\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Purple Black Black Gray Black Black Gray\nBlack Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Brown Yellow Green Yellow\nBlack Black Black Gray Black Brown Yellow Gray Black\n\nOutput:\nBlack Black Blue Black Red Purple Orange Black Black\nBlue Black Black Black Black Green Black Black Black\nGray Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Gray\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Pink Black Black Orange Black Black Orange\nBlack Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Green Blue Brown Blue\nBlack Black Black Orange Black Green Blue Orange Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Black Black Black Black Gray Gray Black Black Orange Black Purple Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Green Black Green Black\nBlack Purple Black Black Black Black Brown Black Black Blue Black Yellow Black Black Blue\nBlack Black Black Black Orange Black Black Black Black Red Black Black Black Brown Black\nOrange Black Yellow Gray Black Black Black Black Black Black Black Black Red Pink Black\nBlack Black Pink Purple Blue Gray Black Black Black Black Black Black Red Black Black\nGreen Gray Black Pink Black Black Black Green Black Black Black Black Black Black Black\nBlack Yellow Black Purple Black Black Black Purple Black Purple Black Black Black Black Black\nBlack Black Yellow Orange Pink Black Black Black Black Black Black Black Black Red Black\nBlack Blue Red Black Black Black Black Green Black Black Gray Black Black Black Black\nBlack Black Blue Black Black Black Black Orange Black Red Pink Black Black Black Black\nBlack Black Gray Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Gray Black Black Black Black Black Black Black Black Black Pink Purple\nBlack Yellow Black Orange Black Yellow Black Black Purple Black Gray Black Red Black Black\nBlack Black Black Black Red Black Black Black Black Orange 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```\nBlack Orange Black Black Black Black Orange Orange Black Black Gray Black Pink Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Brown Black Brown Black\nBlack Pink Black Black Black Black Green Black Black Red Black Blue Black Black Red\nBlack Black Black Black Gray Black Black Black Black Blue Black Black Black Green Black\nGray Black Blue Orange Black Black Black Black Black Black Black Black Blue Purple Black\nBlack Black Purple Pink Red Orange Black Black Black Black Black Black Blue Black Black\nBrown Orange Black Purple Black Black Black Brown Black Black Black Black Black Black Black\nBlack Blue Black Pink Black Black Black Pink Black Pink Black Black Black Black Black\nBlack Black Blue Gray Purple Black Black Black Black Black Black Black Black Blue Black\nBlack Red Blue Black Black Black Black Brown Black Black Orange Black Black Black Black\nBlack Black Red Black Black Black Black Gray Black Blue Purple Black Black Black Black\nBlack Black Orange Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Red Orange Black Black Black Black Black Black Black Black Black Purple Pink\nBlack Blue Black Gray Black Blue Black Black Pink Black Orange Black Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Gray Blue Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Blue Blue Blue Gray Blue Blue Yellow\nBlue Gray Purple Purple Gray Purple Gray Blue\nBrown Gray Purple Gray Blue Purple Gray Brown\nBlue Purple Gray Brown Gray Gray Purple Blue\nBlue Brown Blue Blue Blue Blue Brown Blue\nGray Purple Gray Yellow Yellow Gray Purple Gray\nBrown Gray Yellow Yellow Brown Yellow Gray Brown\nBlue Gray Blue Purple Gray Blue Gray Blue\nYellow Gray Blue Blue Brown Blue Gray Yellow\nPurple Yellow Blue Blue Brown Blue Yellow Purple\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGray Pink Green Pink Green Purple Pink Green Pink Gray\nOrange Pink Purple Purple Pink Pink Purple Purple Pink Orange\nGreen Green Green Purple Purple Purple Purple Green Green Green\nGreen Purple Gray Green Pink Pink Green Gray Purple Green\nGreen Orange Green Gray Green Gray Gray Green Orange Green\nPurple Green Gray Orange Gray Orange Orange Gray Green Purple\nPurple Pink Green Pink Purple Orange Pink Green Pink Purple\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlue Yellow Pink Gray Yellow Gray Pink Yellow Blue\nBlue Blue Pink Pink Yellow Pink Pink Blue Blue\nGray Green Blue Yellow Pink Yellow Blue Green Gray\nGreen Yellow Green Gray Gray Gray Green Yellow Green\nPink Pink Gray Blue Green Blue Gray Pink Pink\nPink Yellow Green Gray Yellow Gray Green Yellow Pink\nGray Blue Blue Green Pink Green Blue Blue Gray\n\nOutput:\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\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\n\nHere is the input grid for the test example:\nInput:\nPurple Red Gray Brown Purple Brown Gray Red Purple\nGray Blue Gray Red Gray Red Gray Blue Gray\nPurple Gray Blue Brown Blue Brown Blue Gray Purple\nBrown Brown Red Brown Red Brown Red Brown Brown\nPurple Blue Red Brown Blue Brown Red Blue Purple\nRed Gray Purple Red Brown Red Purple Gray Red\nBlue Blue Red Purple Red Purple Red Blue Blue\nBlue Purple Gray Red Red Red Gray Purple Blue\nBlue Brown Blue Gray Red Gray Blue Brown Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue 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\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\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:\nPurple Purple Purple Purple\nBlack Black Black Purple\nPurple Purple Purple Purple\n\nOutput:\nBlack Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nBlack Black Black Black Purple\nPurple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nRed Red Black Black\nRed Red Red Red\nBlack Black Red Red\nBlack Black Red Red\nBlack Black Red Red\nBlack Black Black Red\n\nOutput:\nBlack Red Red Black Black\nRed Red Red Black Black\nRed Red Red Red Red\nBlack Black Black Red Red\nBlack Black Black Red Red\nBlack Black Black Red Red\nBlack Black Black Black Red\n\n\nExample 3\nInput:\nBlack Black Black Black Brown\nBlack Brown Black Brown Brown\nGreen Green Brown Brown Black\nGreen Black Brown Black Black\nGreen Brown Black Black Black\n\nOutput:\nBlack Black Black Black Black Brown\nBlack Black Black Black Black Brown\nBlack Black Brown Black Brown Brown\nGreen Green Green Brown Brown Black\nGreen Green Black Brown Black Black\nGreen Green Brown Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Green Black\nGreen Green Green\nBlack Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Green Black\nBlack Black Green Black\nGreen Green Green Green\nBlack Black Green Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Purple Orange Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Purple Orange Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray 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\nGray 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\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Orange Orange Orange Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Pink 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\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Brown Yellow Brown Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Brown Yellow Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Brown Yellow Brown Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Yellow Brown Yellow Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 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 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 Black Black Black Black Black Black\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Black Black Black\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Black Black Black\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Black Black Black\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Black Black Black\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Black Black Black\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Green Green Green Green Green Green\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Green Green Green Green Green Green\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Green Green Green Green Green Green\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Green Green Green Green Green Green\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Green Green Green Green Green Green\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Green Green Green Green Green Green\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Brown Brown Brown\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Brown Brown Brown\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Brown Brown Brown\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Brown Brown Brown\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Brown Brown Brown\nPink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Black Black Black Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBrown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBrown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBrown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBrown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBrown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBrown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Black Black Black\nGray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown\nGray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Purple Red Black Pink Brown Orange Black Black Black\nBlack Black Black Blue Black Yellow Red Black Black Blue\nBlack Black Black Black Black Black Orange Black Black Green\nBlack Gray Black Black Red Black Black Orange Black Black\nBlack Black Red Black Black Black Pink Black Red Black\nBlack Pink Purple Black Black Black Black Black Black Brown\nBlack Black Black Purple Black Green Black Black Black Black\nBlack Black Yellow Black Black Green Yellow Black Black Black\nPink Black Black Yellow Orange Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Brown Black Black Black\nBlack Black Pink Black Yellow Black Black Black Pink Black\nBlack Purple Orange Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Brown\nBrown Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Brown\nBlue Black Black Black Gray Black Black Black Yellow Red\nBlue Black Green Black Black Orange Black Black Black Black\nGreen Black Green Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Green Black Black Gray Black Blue Black Green Black\nBlack Black Black Black Black Black Black Blue Black Blue\nBlack Black Orange Black Black Black Black Black Brown Orange\nBlack Black Black Black Orange Black Brown Green Black Black\nBlack Black Black Black Black Black Black Black Gray Yellow\nRed Black Yellow Black Black Black Black Black Black Black\nGray Red Brown Black Black Green Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Purple\nPink Black Black Blue Black Orange Yellow Black Black Black\nPurple Brown Black Black Black Black Black Yellow Orange Black\n\nOutput:\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\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\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:\nGreen Black Red Blue Black Black Pink Gray Black Black\nBlack Black Black Black Brown Green Red Black Black Black\nPink Brown Orange Black Black Black Black Black Gray Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Purple Black Black Black Black Black\nBlack Black Black Black Red Black Orange Blue Black Black\nBlack Black Pink Red Blue Gray Black Blue Black Black\nBlack Black Black Black Black Purple Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Orange Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Green Black Black\nBlack 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\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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red Orange Orange Black Black Black\nBlack Black Black Green Blue Green Black Black Black\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Brown Black Brown Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black Gray Green Brown Brown Black Black\nBlack Black Black Gray Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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\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 Red Black Black Black\nBlack Black Gray Blue Blue Black Red Black Black\nBlack Black Gray Gray Blue Black Red Black Black\nBlack Black Gray Gray 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\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Orange Black Black\nGray Gray Gray Black Black Black Black Black Black Orange Blue Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Gray Red Gray Black Black Black\nBlack Black Black Gray Red Red Black Black Black\nBlack Black Black Gray Gray Gray Orange Black Black\nBlack Black Black 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 Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Brown Black Black\nBlack Black Yellow Yellow Black Black Black Brown Black Black\nBlack Black Yellow Yellow Black Black Black Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Brown Black\nBlack Brown Black\nBlack Brown Black\nBrown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Black Black\nBlack Black Gray Gray Black Black Orange Orange Black Black\nBlack Black Black Gray Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green\nGreen Green Black Black\nGreen Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black\nBlack Black Black Gray Gray Black Green Green Black Black\nBlack Black Black Black Gray Black Green Green Green Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Blue Black\nBlue Blue Blue\nBlack Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Red Red Red Black Brown Brown Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Brown\nBlack Brown\nBrown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Orange Purple Orange Black Black\nBlack Black Blue Black Black Black Black Purple Black Black Black Black\nOrange Yellow Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Purple Black Pink Black Purple Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Brown Black Black Pink Black Black Black Black\nBrown Black Blue Black Brown Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Yellow Green Black Black Black Green Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Orange Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Brown Black Purple Black Black\n\n\nExample 2\nInput:\nBlack Black Purple Brown Black Black Blue Red Black Black\nBlack Black Black Yellow Gray Black Black Green Purple Black\nBlack Gray Purple Pink Black Black Black Black Orange Black\nBlack Black Pink Black Black Black Black Black Black Purple\nBlack Black Gray Black Blue Black Black Black Pink Black\nBlack Green Gray Black Black Orange Yellow Black Black Black\nBlack Purple Purple Brown Yellow Black Black Black Black Blue\n\nOutput:\nBlack Black Pink Black Black Black Black Yellow Black Black\nBlack Gray Purple Black Black Blue Orange Black Black Black\nBlack Black Black Gray Black Black Yellow Black Black Black\nBlack Black Black Green Gray Purple Black Black Black Black\nBlack Black Black Blue Red Green Orange Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Brown Yellow Black Black Black Black Pink Black Blue\n\n\nExample 3\nInput:\nGreen Black Black Brown Black Black Black Black Black Black Black\nBlue Orange Black Yellow Gray Black Pink Green Black Black Black\nPurple Black Black Orange Black Black Black Brown Gray Black Green\nBlack Black Black Black Black Black Black Red Black Black Black\nBlue Black Black Black Gray Black Blue Black Black Black Black\nBlack Black Green Black Black Black Black Pink Black Black Blue\nBlack Black Pink Black Green Black Black Pink Black Black Brown\n\nOutput:\nBlack Black Yellow Black Black Black Blue Black Pink Black Black\nBlack Orange Black Orange Black Gray Black Black Pink Black Green\nBlue Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Green Black Green Black Black Black Black\nBlack Black Blue Black Black Pink Black Black Green Black Black\nBlack Black Black Black Black Green Gray Black Black Black Black\nBlack Brown Black Gray Pink Black Brown Black Black Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nOrange Black Black Black Brown Black Black Black Black\nYellow Black Black Black Black Black Gray Black Black\nBlack Purple Black Black Black Black Black Pink Black\nBlack Black Black Pink Blue Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Brown Black Black\nBlack Orange Black Brown Black Black Black Black Black\nBlack Black Yellow Gray Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Orange Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Black Pink Black Black Black Black\nBrown Black Black Black Black Black Green Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Pink Blue Black Black Black Orange Yellow Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Green Black Green Black\nGreen Black Black Black Black Green Green Black\nBlack Green Green Black Green Black Green Black\nBlack Black Black Black Black Green Black Green\nBlack Black Black Black Green Black Green Black\nGreen Black Black Black Green Black Green Green\nGreen Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Black\n\nOutput:\nBlack Black Black Black Yellow Black Yellow Black\nYellow Black Black Black Black Yellow Yellow Black\nBlack Yellow Yellow Black Yellow Black Yellow Black\nBlack Black Black Black Black Yellow Black Yellow\nBlack Black Black Black Yellow Black Yellow Black\nYellow Black Black Black Yellow Black Yellow Yellow\nYellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black\n\n\nExample 2\nInput:\nBlack Black Black Black Green Black Black\nGreen Green Black Black Black Black Green\nBlack Green Black Black Black Black Green\nGreen Black Green Black Black Black Black\nBlack Black Black Black Black Black Black\nGreen Black Green Black Black Black Black\nBlack Black Green Green Green Green Green\n\nOutput:\nBlack Black Black Black Yellow Black Black\nYellow Yellow Black Black Black Black Yellow\nBlack Yellow Black Black Black Black Yellow\nYellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Black Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Green Black\nBlack Black Green Black Green Green Green Green Green\nBlack Black Black Black Black Green Black Green Black\nBlack Green Black Black Green Black Green Black Black\nBlack Black Green Black Black Black Green Black Black\nGreen Black Black Green Black Black Black Black Black\nGreen Black Black Green Black Black Green Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Black Yellow Black\nBlack Yellow Black Black Yellow Black Yellow Black Black\nBlack Black Yellow Black Black Black Yellow Black Black\nYellow Black Black Yellow Black Black Black Black Black\nYellow Black Black Yellow Black Black Yellow Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Black Green Green Black Green Black Black\nBlack Black Black Green Black Black Green Black Green\nBlack Green Black Black Black Green Black Green Black\nBlack Black Green Black Green Green Black Green Green\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black\nBlack Black Black Black Green Green Black Black Green\nBlack Black Black Black Black Green Black Green Black\nBlack Black Green Black Black Black Green Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Black Yellow Yellow Black Yellow Black Black\nBlack Black Black Yellow Black Black Yellow Black Yellow\nBlack Yellow Black Black Black Yellow Black Yellow Black\nBlack Black Yellow Black Yellow Yellow Black Yellow Yellow\nYellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Yellow Yellow Black Black Yellow\nBlack Black Black Black Black Yellow Black Yellow Black\nBlack Black Yellow Black Black Black Yellow Black Black\n```",
"role": "assistant"
}
]
|
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