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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 Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black 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 Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black 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 Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nGray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.", "role": "user" }, { "content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\n```", "role": "assistant" } ]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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