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[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\n\n\nExample 2\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.", "role": "user" }, { "content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n```", "role": "assistant" } ]
Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines. Here are the input and output grids for the reference examples: Example 1 Input: Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Output: Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Example 2 Input: Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Output: Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Here is the input grid for the test example: Input: Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.
The output grid for the test input grid is: ``` Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black ```
8ee62060
[ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], [ [ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ] ]
[ [ [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2 ] ], [ [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ]
[ [ [ 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ] ] ]
[ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ]
[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.", "role": "user" }, { "content": "The output grid for the test input grid is:\n\n```\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\n```", "role": "assistant" } ]
Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines. Here are the input and output grids for the reference examples: Example 1 Input: Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Output: Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Example 2 Input: Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Output: Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Here is the input grid for the test example: Input: Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.
The output grid for the test input grid is: ``` Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red ```
8ee62060
[ [ [ 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ] ], [ [ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ] ]
[ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], [ [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ]
[ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ]
[ [ [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2 ] ] ]
[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.", "role": "user" }, { "content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n```", "role": "assistant" } ]
Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines. Here are the input and output grids for the reference examples: Example 1 Input: Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Output: Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Example 2 Input: Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Output: Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Here is the input grid for the test example: Input: Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.
The output grid for the test input grid is: ``` Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black ```
8ee62060
[ [ [ 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ] ], [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ]
[ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], [ [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2 ] ] ]
[ [ [ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ] ]
[ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ]
[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (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 Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\n\nOutput:\nBlack Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Purple Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Pink\nPurple Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Purple Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Pink Purple Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Purple Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Purple Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Pink Green Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Pink Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Pink Green Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Pink Green\nGreen Black Black Black Black Black Black Black Black Black\nPink Green Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Purple Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Purple Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Purple Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Purple Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Purple Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Red Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Red Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlue Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Red Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Pink Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nPink Green Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Green\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Pink Green Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Pink Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Purple 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 Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Blue Pink Black\nPink Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Pink Black Black Black Black Black Black Black Black Black\nBlack Blue Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Blue Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Blue Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Blue Pink Black Black Black\n```", "role": "assistant" } ]
Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines. Here are the input and output grids for the reference examples: Example 1 Input: Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Output: Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Purple Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Pink Purple Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Purple Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Purple Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Purple Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Purple Black Black Black Black Black Black Black Example 2 Input: Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Output: Black Black Green Black Black Black Black Black Black Black Black Black Pink Green Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Pink Green Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Pink Green Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Pink Green Green Black Black Black Black Black Black Black Black Black Pink Green Black Black Black Black Black Black Black Black Example 3 Input: Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Output: Purple Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Example 4 Input: Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Blue Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Output: Black Black Pink Green Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Pink Green Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Green Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Pink Green Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Pink Green Black Black Black Black Black Black Black Black Green Black Black Black Black Black Here is the input grid for the test example: Input: Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.
The output grid for the test input grid is: ``` Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Blue Pink Black Pink Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Blue Black Black Pink Black Black Black Black Black Black Black Black Black Black Blue Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Blue Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Blue Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Blue Pink Black Black Black ```
8ee62060
[ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0 ] ], [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 1, 0, 0, 0, 0, 0, 0 ] ], [ [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0 ] ], [ [ 0, 0, 0, 2, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 2, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ]
[ [ [ 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6 ], [ 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 8, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 6, 8, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 6, 8, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 6, 8, 0, 0, 0, 0, 0, 0, 0 ] ], [ [ 0, 0, 3, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 6, 3, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 3, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 6, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 3, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 6, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 6, 3 ], [ 3, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 3, 0, 0, 0, 0, 0, 0, 0, 0 ] ], [ [ 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 8, 6, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 8, 6, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 8, 6, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 6 ], [ 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], [ [ 0, 0, 6, 3, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 3, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 6, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 6, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 3, 0, 0, 0 ], [ 0, 0, 0, 0, 6, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 3, 0, 0, 0, 0, 0 ] ] ]
[ [ [ 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 8, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 0 ] ] ]
[ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0 ], [ 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 6, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 0 ] ] ]
[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Blue Blue 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\n\n\nExample 3\nInput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue 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\nBlack Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Purple\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Purple Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Purple Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Purple Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Red Purple Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nRed Purple Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.", "role": "user" }, { "content": "The output grid for the test input grid is:\n\n```\nBlue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\n```", "role": "assistant" } ]
Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines. Here are the input and output grids for the reference examples: Example 1 Input: Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Output: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Example 2 Input: Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Output: Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Example 3 Input: Black Blue Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Blue Red Output: Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Example 4 Input: Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Output: Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Here is the input grid for the test example: Input: Black Black Black Black Black Black Black Black Black Black Red Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.
The output grid for the test input grid is: ``` Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black ```
8ee62060
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 4, 4 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1 ] ] ]
[ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 8, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ]
[ [ [ 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ] ] ]
[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Red\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Green Black\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlue Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Red Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Red Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Red Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Black\nBlack Black Black Black Black Black Black Blue Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Purple Red Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Purple Red Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Purple Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Purple Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Purple Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\n```", "role": "assistant" } ]
Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines. Here are the input and output grids for the reference examples: Example 1 Input: Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Output: Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Example 2 Input: Black Black Black Black Red Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Blue Black Black Black Black Black Output: Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Example 3 Input: Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Output: Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Example 4 Input: Blue Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Blue Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Output: Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Here is the input grid for the test example: Input: Black Black Red Black Black Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.
The output grid for the test input grid is: ``` Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black ```
8ee62060
[ [ [ 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0 ] ], [ [ 0, 0, 0, 0, 2, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], [ [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0 ] ], [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 2, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 2, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ] ] ]
[ [ [ 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ] ], [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 2, 0, 0, 0, 0, 0, 0, 0, 0 ] ], [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 ] ] ]
[ [ [ 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0 ] ] ]
[ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ]
[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Red Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Red Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Red Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlue Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Blue\n\nOutput:\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nExample 4\nInput:\nRed Red Black Black Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.", "role": "user" }, { "content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Purple Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Purple Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nPurple Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\n```", "role": "assistant" } ]
Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines. Here are the input and output grids for the reference examples: Example 1 Input: Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Output: Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Example 2 Input: Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Output: Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Example 3 Input: Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Blue Output: Blue Red Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Blue Example 4 Input: Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Output: Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Here is the input grid for the test example: Input: Black Black Purple Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.
The output grid for the test input grid is: ``` Black Black Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Purple Red Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black ```
8ee62060
[ [ [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3 ] ], [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 1, 0, 0 ] ], [ [ 0, 2, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 2, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], [ [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ]
[ [ [ 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ] ], [ [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], [ [ 1, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ]
[ [ [ 0, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 8, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ]
[ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 8, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ]
[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Red Blue Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Red Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Red Blue Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Red Blue Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Red Blue\n\n\nExample 3\nInput:\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.", "role": "user" }, { "content": "The output grid for the test input grid is:\n\n```\nRed Red Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Purple Black\n```", "role": "assistant" } ]
Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines. Here are the input and output grids for the reference examples: Example 1 Input: Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Output: Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Example 2 Input: Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Output: Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Blue Example 3 Input: Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Output: Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Example 4 Input: Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Output: Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Here is the input grid for the test example: Input: Red Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.
The output grid for the test input grid is: ``` Red Red Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Purple Black ```
8ee62060
[ [ [ 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ] ], [ [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 2, 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 1, 0, 0, 0 ] ], [ [ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ] ], [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ]
[ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 ] ], [ [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ], [ [ 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ] ] ]
[ [ [ 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ]
[ [ [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0 ] ] ]
[ { "content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.", "role": "system" }, { "content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nGray Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Red\nBlack Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Red Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Red Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Red Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Red Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Black Black Black Black Black Black Black Black\nGray Green Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Gray Green Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Gray Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Gray Green Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Gray Green\n\n\nExample 3\nInput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Red Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Red\n\nOutput:\nGray Green Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Green\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Gray Green Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Gray Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Gray Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\n\n\nExample 4\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Gray\nGray Gray Black Black Black Black Black Black Black Black Black Black\nRed Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Red Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Red Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Red Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Red Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Purple\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Purple Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Purple Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Purple Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Red Purple Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nRed Purple Black Black Black Black Black Black Black Black Black Black\nRed 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 Gray Black\nBlack Black Black Black Black Black Black Black Black Purple Gray Black\nGray Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Gray Black Black Black Black Black Black Black Black Black\nBlack Purple Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Purple Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Purple Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Purple Gray Black Black Black\n```", "role": "assistant" } ]
Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines. Here are the input and output grids for the reference examples: Example 1 Input: Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black Black Red Red Output: Gray Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Red Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Red Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Red Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Red Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Red Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Example 2 Input: Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Output: Green Black Black Black Black Black Black Black Black Black Gray Green Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Gray Green Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Gray Green Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Gray Green Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Gray Green Example 3 Input: Black Blue Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Blue Red Output: Gray Green Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Green Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Gray Green Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Gray Green Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Gray Green Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Example 4 Input: Black Black Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Green Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Output: Black Black Black Black Black Black Black Black Black Black Red Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Red Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Red Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Red Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Red Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Red Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Here is the input grid for the test example: Input: Black Black Black Black Black Black Black Black Black Black Red Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red Purple Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.
The output grid for the test input grid is: ``` Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Purple Gray Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Purple Black Black Gray Black Black Black Black Black Black Black Black Black Black Purple Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Purple Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Purple Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Purple Gray Black Black Black ```
8ee62060
[ [ [ 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ] ], [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 1, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ] ], [ [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2 ] ], [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ]
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[{"content":"You are a world-class puzzle solver with exceptional pattern recognition skills. Your t(...TRUNCATED)
"Given input-output grid pairs as reference examples, carefully observe the patterns to predict the (...TRUNCATED)
"The output grid for the test input grid is:\n\n```\nGray Black Black Black Black Black Black Black (...TRUNCATED)
8ee62060
[[[6,6,0,0,0,0,0,0,0,0,0,0],[6,1,0,0,0,0,0,0,0,0,0,0],[0,0,6,6,0,0,0,0,0,0,0,0],[0,0,6,1,0,0,0,0,0,0(...TRUNCATED)
[[[0,0,5,5,0,0,0,0,0,0,0,0],[0,0,5,7,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0,0,0],[5,7,0,0,0,0,0,0,0,0(...TRUNCATED)
[[[0,0,0,0,0,0,0,0,0,0,0,4],[0,0,0,0,0,0,0,0,0,0,6,6],[0,0,0,0,0,0,0,0,0,4,0,0],[0,0,0,0,0,0,0,0,6,6(...TRUNCATED)
[[[5,0,0,0,0,0,0,0,0,0,0,5],[0,0,1,0,0,0,0,0,0,0,0,0],[0,5,5,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,0,0(...TRUNCATED)
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Models trained or fine-tuned on tttx/problem0_diverse_more_aug