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{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Blue\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Blue\nYellow Black Black Black Orange Black Black Black Black Black Black Black Black Blue\nYellow Black Black Black Orange Black Black Black Black Black Black Black Black Blue\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Blue\nYellow Black Black Black Black Black Black Red Black Black Black Black Black Blue\nYellow Black Black Black Black Orange Black Red Black Black Black Orange Black Blue\nBlack Black Black Black Black Orange Black Red Black Black Black Orange Black Black\nBlack Black Black Black Black Orange Black Red Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Red Black Red Black Black Black Black\nBlack Black Black Black Black Orange Black Red Black Red Black Black Black Black\nBlack Black Black Black Black Orange Black Red Black Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Blue\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Blue\nYellow Black Black Black Orange Black Black Black Black Black Black Black Black Blue\nYellow Black Black Black Orange Black Black Black Black Black Black Black Black Blue\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Blue\nYellow Black Black Black Black Black Black Red Black Black Black Black Black Blue\nYellow Black Black Black Black Orange Black Red Black Black Black Orange Black Blue\nBlack Black Black Black Black Orange Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Red Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Red Black Red Black Black Black Black\nBlack Black Black Black Black Orange Black Red Black Red Black Black Black Black\nBlack Black Black Black Black Orange Black Red Black Red Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Red Black\nBlack Red Red Red Black Black Black Black Blue Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Orange Orange Orange Blue Orange Orange Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Red Black\nBlack Red Red Red Black Black Black Black Blue Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Orange Orange Orange Blue Orange Orange Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Yellow Blue Black Black Black Yellow Black Blue Black Black Black Black\nBlack Black Red Blue Black Black Black Yellow Black Blue Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Blue Black Black Black Black\nBlack Black Yellow Blue Black Black Black Black Black Blue Black Black Black Black\nBlack Black Yellow Blue Black Black Black Black Black Blue Black Black Black Black\nBlack Black Yellow Blue Red Red Red Red Black Blue Black Black Black Black\nBlack Black Yellow Blue Black Black Black Black Black Blue Black Black Black Black\nBlack Black Yellow Blue Black Black Black Black Black Blue Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Yellow Blue Black Black Black Yellow Black Blue Black Black Black Black\nBlack Black Red Blue Black Black Black Yellow Black Blue Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Blue Black Black Black Black\nBlack Black Yellow Blue Black Black Black Black Black Blue Black Black Black Black\nBlack Black Yellow Blue Black Black Black Black Black Blue Black Black Black Black\nBlack Black Yellow Blue Red Red Red Red Black Blue Black Black Black Black\nBlack Black Yellow Blue Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Orange Black Black Black Black Blue Yellow Black Black Black\nBlack Black Black Black Black Blue Black Orange Black Black Black Black Blue Yellow Black Black Black\nBlack Black Black Black Black Blue Black Orange Black Black Black Black Blue Yellow Black Black Black\nBlack Black Black Black Black Blue Black Orange Black Black Black Black Blue Yellow Black Black Black\nBlack Black Black Black Black Blue Black Orange Black Black Black Black Blue Yellow Black Black Black\nBlack Black Black Red Black Blue Black Black Black Black Black Black Blue Yellow Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Blue Blue Blue Blue Red Blue Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Orange Black Black Black Black Blue Yellow Black Black Black\nBlack Black Black Black Black Blue Black Orange Black Black Black Black Blue Yellow Black Black Black\nBlack Black Black Black Black Blue Black Orange Black Black Black Black Blue Yellow Black Black Black\nBlack Black Black Black Black Blue Black Orange Black Black Black Black Blue Yellow Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Blue Yellow Black Black Black\nBlack Black Black Red Black Blue Black Black Black Black Black Black Blue Yellow Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Blue Blue Blue Blue Red Blue Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Brown Orange Blue Gray Red Yellow Purple\nGreen Orange Brown Red Yellow Purple Gray Blue\nBlue Yellow Red Orange Purple Brown Pink Green\nGreen Blue Pink Orange Brown Red Gray Yellow\nBlue Gray Brown Green Red Yellow Pink Orange\n\nOutput:\nBlue Gray Brown Green Red Yellow Pink Orange\nBlue Gray Brown Green Red Yellow Pink Orange\nBlue Gray Brown Green Red Yellow Pink Orange\nBlue Gray Brown Green Red Yellow Pink Orange\nBlue Gray Brown Green Red Yellow Pink Orange\n\n\nExample 2\nInput:\nBrown Purple Gray Pink Green Orange Yellow\nOrange Purple Gray Red Blue Pink Green\nOrange Green Yellow Pink Red Gray Purple\nGray Green Pink Blue Yellow Red Orange\nBrown Gray Pink Green Orange Blue Yellow\nOrange Purple Gray Pink Red Green Brown\n\nOutput:\nOrange Purple Gray Pink Red Green Brown\nOrange Purple Gray Pink Red Green Brown\nOrange Purple Gray Pink Red Green Brown\nOrange Purple Gray Pink Red Green Brown\nOrange Purple Gray Pink Red Green Brown\nOrange Purple Gray Pink Red Green Brown\n\n\nExample 3\nInput:\nYellow Blue Orange Gray Pink Red Purple Green Brown\nOrange Gray Blue Red Brown Purple Yellow Green Pink\nOrange Brown Blue Pink Red Green Gray Yellow Purple\nPurple Brown Red Orange Pink Gray Blue Green Yellow\nYellow Brown Gray Blue Red Green Purple Pink Orange\nPink Blue Orange Gray Red Green Purple Yellow Brown\n\nOutput:\nPink Blue Orange Gray Red Green Purple Yellow Brown\nPink Blue Orange Gray Red Green Purple Yellow Brown\nPink Blue Orange Gray Red Green Purple Yellow Brown\nPink Blue Orange Gray Red Green Purple Yellow Brown\nPink Blue Orange Gray Red Green Purple Yellow Brown\nPink Blue Orange Gray Red Green Purple Yellow Brown\n\n\nHere is the input grid for the test example:\nInput:\nRed Yellow Pink Orange Blue Gray Brown Purple Green\nOrange Brown Red Gray Blue Purple Green Yellow Pink\nBlue Orange Gray Brown Red Green Purple Yellow Pink\nYellow Brown Blue Orange Green Purple Red Gray Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Brown Blue Orange Green Purple Red Gray Pink\nYellow Brown Blue Orange Green Purple Red Gray Pink\nYellow Brown Blue Orange Green Purple Red Gray Pink\nYellow Brown Blue Orange Green Purple Red Gray Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black\nBlack Yellow Yellow Black\nBlack Yellow Yellow Black\nBlack Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black\nBlack Green Green Black\nBlack Green Green Black\nBlack Black Black Black\n\nOutput:\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black\nBlack Gray Gray Black\nBlack Gray Gray Black\nBlack Black Black Black\n\nOutput:\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Purple Purple Black\nBlack Purple Purple Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack 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\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack 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 Blue Blue Blue Blue Black Black Black Black\nBlack 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 Blue Blue Blue Blue Black Black Black Black\nBlack 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 Blue Blue Blue Blue Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Black Purple Black Black Black Gray Black Black Green Black Purple\nBlack Black Black Black Purple Blue Black Yellow Red Black Green Pink\nBlack Purple Purple Gray Black Black Black Purple Pink Black Gray Green\nBlack Pink Gray Black Pink Purple Black Black Black Black Brown Black\nRed Black Black Red Black Black Brown Blue Red Black Brown Purple\nBlack Pink Purple Black Black Blue Black Black Black Yellow Blue Black\nBlack Pink Black Black Brown Blue Black Purple Black Red Gray Red\nPink Black Black Gray Black Black Black Yellow Pink Black Red Black\n\nOutput:\nOrange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Black Green Black Gray Black Black Red Black Blue\nGreen Black Black Black Black Black Purple Black Green Black\nBlack Purple Gray Purple Black Yellow Black Yellow Red Black\nBlack Purple Black Black Pink Black Black Pink Black Yellow\nBlack Black Black Black Blue Black Red Pink Black Black\nBlack Black Red Blue Blue Pink Pink Black Brown Blue\nBlack Black Black Purple Black Yellow Pink Green Black Black\n\nOutput:\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Black Orange Pink Black Black\nYellow Green Brown Black Blue Yellow Black Black Yellow Purple Pink\nBlack Black Pink Black Blue Black Black Black Black Purple Black\nBrown Black Brown Brown Green Black Black Yellow Black Black Black\nBlack Black Blue Black Blue Green Black Pink Orange Black Black\nBlack Black Black Black Black Blue Brown Red Orange Black Black\nBlack Black Yellow Green Yellow Brown Blue Pink Brown Black Black\n\nOutput:\nGray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Black Black Black Blue Black Gray Black\nBlack Purple Black Brown Yellow Black Orange Black Blue\nBlack Black Blue Brown Black Brown Black Red Green\nBlack Black Brown Black Red Black Black Black Black\nBlack Blue Black Gray Black Green Blue Yellow Gray\nBlack Purple Black Black Green Black Black Red Black\nBlack Purple Blue Yellow Purple Black Green Black Gray\nYellow Orange Gray Green Black Red Black Red Gray\nPurple Black Black Red Black Brown Blue Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Blue Black Black Black Black Black Black Black Black\nYellow Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Purple\nBlack Black Black Black Black Black Black Black Blue Brown\n\nOutput:\nBrown Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown\n\n\nExample 2\nInput:\nGreen Purple Black Black Black Black Black Black Black Black\nOrange Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Pink\nBlack Black Black Black Black Black Black Black Purple Green\n\nOutput:\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\n\n\nExample 3\nInput:\nGray Green Black Black Black Black Black Black Black Black\nPink Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Blue\nBlack Black Black Black Black Black Black Black Green Gray\n\nOutput:\nGray Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nRed Gray Black Black Black Black Black Black Black Black\nBrown Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Purple\nBlack Black Black Black Black Black Black Black Gray Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Black\nBlack Blue Blue Blue Black Blue Blue Blue Black\nBlack Blue Blue Blue Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Pink\nBlack Black Black Black Black Pink Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black\nBlack Black Black Pink Pink Black Black Black\nPink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Pink\nBlack Black Black Black Black Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Yellow\n\nOutput:\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Brown Brown Brown Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Pink Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Yellow Yellow Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Yellow Yellow Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Yellow Yellow Black Black Blue Blue Blue Blue Blue Blue Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Red Red Red Red Green Blue Blue Blue Black\nBlack Black Black Red Red Red Red Green Green Green Black Black\nBlack Black Black Green Green Green Black Green Green Green Black Black\nBlack Black Black Green Green Green Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Green Green Black Red Red Red Black Black Black Black\nBlue Blue Black Black Green Green Black Red Red Red Black Black Black Black\nBlue Blue Black Black Green Green Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Blue Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Yellow Black Yellow Black Black\nBlack Black Red Red Black Yellow Black Yellow Black Black\nBlack Black Red Red Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Orange Orange Black Black\nBlack Orange Orange Orange Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Pink Black Pink Black Black\nBlack Black Green Green Black Pink Black Pink Black Black\nBlack Black Green Green Black Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Green Green Black\nBlack Brown Brown Brown Brown Black Green Green Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Red Red Red Red Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Red Red Black\nBlack Yellow Yellow Yellow Yellow Black Red Red Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Black Gray Black\nBlack Black Black Black Pink Pink Black Gray Gray Black\nBlack Brown Brown Black Black Black Black Black Gray Black\nBlack Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Purple Black\nBlack Black Black Black Yellow Yellow Black Purple Purple Black\nBlack Yellow Yellow Black Black Black Black Black Purple Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Brown Brown Black Black\nBlack Black Black Black Black Black Blue Blue Blue Brown Brown Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Blue Brown Brown Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black\nBlack Orange Green Green Green Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Gray Gray Gray Gray Black Green Green Green Green Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Orange Orange Orange Orange Black Orange Orange Orange Orange Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Brown Brown Black Black Black Black Black Black Black Black\nGray Gray Gray Black Brown Brown Black Black Black Black Black Black Black Black\nGray Gray Gray Black Brown Brown Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Blue Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Blue Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlue Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlue Blue Black Green Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nRed Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Green Black Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Red Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Red\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Green Black Black\nBlack Green Black Black Black Black Green Black Black Green\nBlack Blue Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Green Blue Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Black\nGreen Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Green Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Red Black Black Black Red\nBlack Black Black Black Black Green Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Blue Black Black Black Black\nRed Black Red Black Black Black Pink Black Black Black Black Gray\nBlack Black Black Black Black Black Black Pink Brown Black Black Gray\nBrown Black Gray Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Gray Red Black Black Black Blue Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Red Black Blue Black Gray\nBlack Black Black Black Black Red Blue Black Green Black Black Black\nRed Black Black Black Black Black Black Black Brown Black Black Black\nRed Black Green Black Black Black Black Gray Black Black Black Black\nBlue Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Red Black Black\nOrange Black Black Black Gray Black Black Brown Black Black Black Black\n\nOutput:\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Red Black Black Black Black\nRed Black Red Black Black Black Red Black Black Black Black Red\nBlack Black Black Black Black Black Black Red Red Black Black Red\nRed Black Red Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Red Red Black Black Black Red Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Red Black Red Black Red\nBlack Black Black Black Black Red Red Black Red Black Black Black\nRed Black Black Black Black Black Black Black Red Black Black Black\nRed Black Red Black Black Black Black Red Black Black Black Black\nRed Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Red Black Black\nRed Black Black Black Gray Black Black Red Black Black Black Black\n\n\nExample 2\nInput:\nPink Black Black Black Black Black Black Black Black Pink Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Red Yellow Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Pink Black Black Black Black Purple Black Black Black Black Blue Black Blue Black Red Black\nBlack Black Black Black Brown Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Orange Pink Black Blue Black Brown Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Brown Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Purple Black Black Black\nBlack Black Black Black Black Orange Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\n\nOutput:\nPink Black Black Black Black Black Black Black Black Red Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Red Red Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Red Black Black Black Black Purple Black Black Black Black Red Black Red Black Red Black\nBlack Black Black Black Brown Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Red Red Black Red Black Red Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Orange Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Pink Green Black Black Black Black Black\nBlack Black Black Black Black Gray Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Green Black Blue Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Gray Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Orange Black Black Blue Black\nBlack Black Black Black Black Black Gray Black Black Black Pink Black Black Black Black Black Gray Black Black\nBlue Black Black Black Orange Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Gray Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Red Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Red Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Orange Black Black Red Black\nBlack Black Black Black Black Black Gray Black Black Black Red Black Black Black Black Black Red Black Black\nBlue Black Black Black Orange Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Brown Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Orange Black Black Black Yellow Black Brown Black\nBlack Black Black Black Blue Black Black Black Yellow Purple Black Black Purple Orange Brown Black Pink Black Red\nBlack Purple Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Gray Black Green\nBlue Black Black Orange Black Orange Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Yellow Orange Yellow Black Purple Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Black Red Black Black Blue Black Pink Black Black Yellow Black\nBlack Black Black Purple Gray Black Yellow Brown Black Brown Black Gray Black Black Black Black Black Black Black\nBlack Black Black Yellow Red Black Black Black Black Black Black Black Black Gray Purple Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Pink Black Black Red Black Black Black\nOrange Black Blue Black Black Yellow Green Brown Pink Black Black Black Yellow Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Red Black Black Black Red Black Red Black\nBlack Black Black Black Blue Black Black Black Red Red Black Black Red Red Red Black Red Black Red\nBlack Red Black Black Black Black Black Black Black Red Black Black Black Black Black Black Red Black Red\nRed Black Black Red Black Red Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Red Red Red Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Black Red Black Black Red Black Red Black Black Yellow Black\nBlack Black Black Red Red Black Red Red Black Red Black Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Red Red Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Red Black Black Red Black Black Black\nRed Black Red Black Black Red Red Red Red Black Black Black Red Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Purple Purple Black Black\nBlack Blue Blue Blue Black Black Purple Black Black Black\nBlack Blue Blue Blue Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Orange Orange Black Black Black Black\nBlack Blue Blue Blue Orange Black Black Black Black Black\nBlack Blue Blue Blue Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Blue Blue Blue Black Black Black\nBlack Purple Purple Purple Black Blue Blue Blue Black Black Black\nBlack Black Black Purple Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Blue Blue Blue Black Black Black\nBlack Black Orange Orange Orange Blue Blue Blue Black Black Black\nBlack Black Black Black Orange Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Green Green Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Pink Gray Pink Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Pink Gray Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Gray Black Black Black Gray Black Green Black Black Black Yellow Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Gray Gray Black Gray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Pink Pink Green Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Gray Black Black Black Black Black Black Black Red Red Black Black Black Yellow Yellow Purple\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Red Green Green Black Purple Purple Purple\nBlack Black Black Black Brown Black Black Black Pink Black Black Black Black Black Green Green Black Yellow Yellow Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Green Green Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Yellow Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Pink Pink Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Blue Blue Black Purple Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Purple 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Purple Pink 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\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Orange Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Blue Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Blue Black Black Black Black Pink Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Black Red Red Black Black Red Yellow Red Red Black Black Black Red Red\nRed Red Black Black Black Red Black Yellow Black Red Red Black Red Black Black\nBlack Black Red Red Black Red Black Yellow Red Red Black Black Red Red Red\nBlack Black Red Red Black Red Red Yellow Black Black Red Red Red Red Red\nBlack Red Red Black Black Black Red Yellow Red Red Red Red Red Red Red\n\nOutput:\nBlack Black Black Black Green Black Black\nBlack Black Black Green Black Black Green\nBlack Black Black Black Black Black Black\nGreen Green Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Black Black Yellow Red Red Red Red\nRed Red Red Black Yellow Black Red Red Red\nBlack Red Red Red Yellow Red Red Red Black\nBlack Black Red Red Yellow Red Red Black Black\nBlack Black Black Red Yellow Red Red Black Red\nBlack Black Black Black Yellow Red Black Black Black\nRed Black Red Red Yellow Red Red Black Red\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Green Black\nBlack Green Green Green\nBlack Black Black Black\n\n\nExample 3\nInput:\nBlack Red Black Red Yellow Black Black Black Black\nRed Red Black Black Yellow Red Red Black Red\nRed Red Black Black Yellow Red Red Black Red\nBlack Black Red Black Yellow Black Black Black Red\nBlack Red Red Black Yellow Black Black Black Black\nBlack Black Red Red Yellow Red Black Red Black\nBlack Red Black Black Yellow Black Black Black Red\nRed Black Red Black Yellow Red Red Red Red\n\nOutput:\nGreen Black Green Black\nBlack Black Green Black\nBlack Black Green Black\nGreen Green Black Black\nGreen Black Black Green\nBlack Green Black Black\nGreen Black Green Black\nBlack Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Black Black Black Black Yellow Red Black Red Black Red Red\nRed Red Red Black Red Red Yellow Red Black Black Red Black Red\nBlack Red Black Red Red Red Yellow Black Black Red Red Red Red\nRed Black Black Black Black Black Yellow Red Black Black Black Black Red\nRed Black Black Black Red Red Yellow Black Red Black Black Black Black\nBlack Red Black Red Black Red Yellow Black Red Red Red Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Green Black Black\nBlack Black Black Black Black Black\nGreen Black Black Black Black Black\nBlack Green Green Green Green Black\nBlack Black Green Green Black Black\nGreen Black Black Black Green Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Green Green Red Green\nRed Green Green Blue Green\nGreen Red Blue Blue Red\nGreen Green Green Blue Green\nGreen Blue Blue Green Blue\n\nOutput:\nRed Red Blue Red Blue\nRed Red Green Red Blue\nBlue Green Green Blue Red\nRed Red Green Red Red\nGreen Green Red Green Red\n\n\nExample 2\nInput:\nGreen Green Red Red Red\nRed Red Blue Blue Red\nBlue Green Red Blue Red\nRed Blue Green Blue Green\nRed Green Green Blue Green\n\nOutput:\nRed Blue Blue Blue Red\nBlue Green Green Blue Blue\nRed Blue Green Blue Green\nGreen Red Green Red Blue\nRed Red Green Red Blue\n\n\nExample 3\nInput:\nRed Green Green Green Blue\nRed Blue Blue Blue Red\nGreen Blue Green Red Green\nRed Blue Blue Blue Blue\nGreen Red Red Green Green\n\nOutput:\nRed Red Red Green Blue\nGreen Green Green Blue Blue\nGreen Red Blue Red Red\nGreen Green Green Green Blue\nBlue Blue Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Green Blue Red\nRed Blue Red Blue Red\nBlue Red Red Green Red\nRed Blue Green Red Blue\nRed Blue Blue 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```\nGreen Red Green Blue Green\nGreen Blue Green Blue Blue\nBlue Blue Red Blue Green\nGreen Red Blue Green Blue\nGreen Green Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Green Green Green Green Green Orange Orange Orange\nOrange Orange Green Green Green Green Green Orange Orange Orange\nOrange Orange Green Green Green Green Green Orange Orange Orange\nOrange Orange Green Green Green Green Green Orange Orange Orange\nOrange Orange Green Green Green Green Green Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Green Green Green Green Green Purple Purple Purple\nPurple Purple Green Green Green Green Green Purple Purple Purple\nPurple Purple Green Green Green Green Green Purple Purple Purple\nPurple Purple Green Green Green Green Green Purple Purple Purple\nPurple Purple Green Green Green Green Green Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Gray Gray Gray Gray Gray Pink Pink Pink\nPink Pink Gray Gray Gray Gray Gray Pink Pink Pink\nPink Pink Gray Gray Gray Gray Gray Pink Pink Pink\nPink Pink Gray Gray Gray Gray Gray Pink Pink Pink\nPink Pink Gray Gray Gray Gray Gray Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Blue\nBlack Black Black Black Blue\nBlack Black Black Blue Red\nBlack Black Yellow Red Purple\nBrown Yellow Yellow Gray Gray\n\nOutput:\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Blue Blue Gray Gray\nBlack Blue Red Yellow Black\nRed Red Blue Yellow Yellow\nBlack Blue Red Yellow Black\nBlack Blue Blue Gray Gray\n\nOutput:\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nPink Pink Pink Orange Pink\nPink Brown Black Purple Purple\nBlack Black Black Yellow Purple\nPink Brown Black Purple Purple\nPink Pink Pink Orange Pink\n\nOutput:\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Yellow Yellow Yellow\nBrown Yellow Yellow Black Black\nPink Brown Black Black Black\nBrown Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Red Black\nRed Black Red Black Black\nBlack Black Red Black Red\nBlack Black Black Black Black\n\nOutput:\nBlue\n\n\nExample 2\nInput:\nBlack Red Black Black Black\nBlack Black Black Black Black\nRed Red Black Red Black\nBlack Black Black Black Black\nBlack Red Black Red Black\n\nOutput:\nBlue\n\n\nExample 3\nInput:\nRed Red Black Black Black\nBlack Black Black Red Black\nRed Red Black Black Black\nRed Black Black Black Red\nBlack Black Black Black Black\n\nOutput:\nBlue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Red\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Red\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Blue Blue\nBlack Black Orange Black Black Black Black Black Black Orange Black Black Black Black Black Blue Blue\nBlack Black Orange Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Green Green\nBlack Black Orange Black Black Black Black Black Black Orange Black Black Black Black Black Green Green\nBlack Black Orange Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\n\n\nExample 2\nInput:\nBlue Blue 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\nBlue Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Blue Blue Black Black Black Black Black Black Black Black\nOrange Black Black Orange Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue 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\nBlue Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Blue Blue Black Black Black Black Black Black Black Black\nOrange Black Black Orange Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Blue Blue Black Black\nBlack 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 Orange Orange Orange Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Orange Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Blue Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Orange Orange Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Blue Blue Black Black\nBlack 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 Orange Orange Orange Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Orange Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Green Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Orange Orange Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Blue Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Blue Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Yellow Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Yellow Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Yellow Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Yellow Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Yellow Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Green Yellow Green\nBlack Black Black Green Yellow Green Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Yellow Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Purple Brown Pink Yellow Pink Purple\nOrange Green Green Brown Orange Pink Purple\nBlue Orange Gray Orange Brown Orange Orange\nPurple Yellow Orange Purple Gray Pink Orange\nBlue Orange Green Orange Orange Red Orange\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nPink Green Red Blue Orange\nOrange Red Gray Blue Orange\nBrown Purple Blue Brown Orange\nPurple Brown Brown Gray Yellow\nOrange Pink Brown Purple Yellow\nPink Brown Orange Blue Yellow\n\nOutput:\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlue Green Red Yellow Yellow Gray\nGray Orange Pink Purple Orange Gray\nOrange Yellow Purple Blue Pink Gray\nBrown Blue Blue Purple Green Brown\nYellow Red Gray Orange Green Brown\nPink Gray Orange Purple Pink Brown\n\nOutput:\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBrown Pink Green Pink\nBlue Brown Gray Pink\nPink Gray Pink Gray\nBrown Pink Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink\nPink Pink Pink Pink\nGray Gray Gray Gray\nGray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black\nYellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black\nYellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black\nYellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black\nYellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\n\nOutput:\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\n\n\nExample 2\nInput:\nYellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black\n\nOutput:\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\n\n\nExample 3\nInput:\nYellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow\n\nOutput:\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Yellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\n\nOutput:\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Green Green Green Pink Pink Pink Orange Orange Orange Purple Purple Purple\n\n\nExample 2\nInput:\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nGreen Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\n\nOutput:\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\nBlue Blue Blue Yellow Yellow Yellow Red Red Red Green Green Green Orange Orange Orange\n\n\nExample 3\nInput:\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nRed Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\n\nOutput:\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\nYellow Yellow Yellow Green Green Green Green Green Green Brown Brown Brown Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Blue Blue Blue Gray Gray Gray Pink Pink Pink\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Orange Orange Gray Gray Black Black Black Black Green Green Black Black Green Green\nBlack Black Orange Orange Gray Gray Black Black Black Black Green Green Black Black Green Green\nBlack Black Black Black Gray Gray Black Black Orange Orange Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Orange Orange Black Black Gray Gray Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Orange Orange Green Green Black Black Orange Orange Gray Gray Black Black Black Black\nBlack Black Orange Orange Green Green Black Black Orange Orange Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Orange Orange Black Black Green Green Gray Gray\nBlack Black Black Black Black Black Gray Gray Orange Orange Black Black Green Green Gray Gray\nBlack Black Black Black Gray Gray Orange Orange Black Black Gray Gray Gray Gray Green Green\nBlack Black Black Black Gray Gray Orange Orange Black Black Gray Gray Gray Gray Green Green\nGray Gray Black Black Green Green Orange Orange Gray Gray Green Green Gray Gray Black Black\nGray Gray Black Black Green Green Orange Orange Gray Gray Green Green Gray Gray Black Black\nGray Gray Black Black Black Black Black Black Green Green Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Green Green Black Black Black Black Gray Gray\n\nOutput:\nBlack Black Gray Gray Green Green Black Black Black Black Orange Orange Black Black Orange Orange\nBlack Black Gray Gray Green Green Black Black Black Black Orange Orange Black Black Orange Orange\nBlack Black Black Black Green Green Black Black Gray Gray Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Gray Gray Black Black Green Green Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Gray Gray Orange Orange Black Black Gray Gray Green Green Black Black Black Black\nBlack Black Gray Gray Orange Orange Black Black Gray Gray Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Gray Gray Black Black Orange Orange Green Green\nBlack Black Black Black Black Black Green Green Gray Gray Black Black Orange Orange Green Green\nBlack Black Black Black Green Green Gray Gray Black Black Green Green Green Green Orange Orange\nBlack Black Black Black Green Green Gray Gray Black Black Green Green Green Green Orange Orange\nGreen Green Black Black Orange Orange Gray Gray Green Green Orange Orange Green Green Black Black\nGreen Green Black Black Orange Orange Gray Gray Green Green Orange Orange Green Green Black Black\nGreen Green Black Black Black Black Black Black Orange Orange Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Orange Orange Black Black Black Black Green Green\n\n\nExample 2\nInput:\nBlack Black Green Green Green Green Orange Orange Orange Orange Black Black Green Green\nBlack Black Green Green Green Green Orange Orange Orange Orange Black Black Green Green\nGreen Green Black Black Orange Orange Orange Orange Black Black Gray Gray Gray Gray\nGreen Green Black Black Orange Orange Orange Orange Black Black Gray Gray Gray Gray\nGray Gray Orange Orange Black Black Orange Orange Green Green Black Black Black Black\nGray Gray Orange Orange Black Black Orange Orange Green Green Black Black Black Black\nBlack Black Green Green Green Green Gray Gray Black Black Orange Orange Black Black\nBlack Black Green Green Green Green Gray Gray Black Black Orange Orange Black Black\nBlack Black Black Black Gray Gray Green Green Gray Gray Black Black Green Green\nBlack Black Black Black Gray Gray Green Green Gray Gray Black Black Green Green\nGreen Green Gray Gray Green Green Green Green Green Green Orange Orange Gray Gray\nGreen Green Gray Gray Green Green Green Green Green Green Orange Orange Gray Gray\nBlack Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black\n\nOutput:\nBlack Black Orange Orange Orange Orange Gray Gray Gray Gray Black Black Orange Orange\nBlack Black Orange Orange Orange Orange Gray Gray Gray Gray Black Black Orange Orange\nOrange Orange Black Black Gray Gray Gray Gray Black Black Green Green Green Green\nOrange Orange Black Black Gray Gray Gray Gray Black Black Green Green Green Green\nGreen Green Gray Gray Black Black Gray Gray Orange Orange Black Black Black Black\nGreen Green Gray Gray Black Black Gray Gray Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Green Green Black Black Gray Gray Black Black\nBlack Black Orange Orange Orange Orange Green Green Black Black Gray Gray Black Black\nBlack Black Black Black Green Green Orange Orange Green Green Black Black Orange Orange\nBlack Black Black Black Green Green Orange Orange Green Green Black Black Orange Orange\nOrange Orange Green Green Orange Orange Orange Orange Orange Orange Gray Gray Green Green\nOrange Orange Green Green Orange Orange Orange Orange Orange Orange Gray Gray Green Green\nBlack Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\n\n\nExample 3\nInput:\nGray Gray Green Green Black Black Gray Gray Green Green Gray Gray Black Black Gray Gray Orange Orange\nGray Gray Green Green Black Black Gray Gray Green Green Gray Gray Black Black Gray Gray Orange Orange\nBlack Black Orange Orange Black Black Black Black Orange Orange Black Black Gray Gray Black Black Green Green\nBlack Black Orange Orange Black Black Black Black Orange Orange Black Black Gray Gray Black Black Green Green\nBlack Black Green Green Black Black Black Black Green Green Black Black Green Green Gray Gray Gray Gray\nBlack Black Green Green Black Black Black Black Green Green Black Black Green Green Gray Gray Gray Gray\nBlack Black Orange Orange Black Black Orange Orange Black Black Gray Gray Black Black Black Black Gray Gray\nBlack Black Orange Orange Black Black Orange Orange Black Black Gray Gray Black Black Black Black Gray Gray\nBlack Black Black Black Green Green Black Black Green Green Orange Orange Black Black Black Black Gray Gray\nBlack Black Black Black Green Green Black Black Green Green Orange Orange Black Black Black Black Gray Gray\nBlack Black Green Green Black Black Black Black Green Green Orange Orange Orange Orange Black Black Green Green\nBlack Black Green Green Black Black Black Black Green Green Orange Orange Orange Orange Black Black Green Green\nGray Gray Orange Orange Black Black Black Black Orange Orange Green Green Orange Orange Black Black Gray Gray\nGray Gray Orange Orange Black Black Black Black Orange Orange Green Green Orange Orange Black Black Gray Gray\n\nOutput:\nGreen Green Orange Orange Black Black Green Green Orange Orange Green Green Black Black Green Green Gray Gray\nGreen Green Orange Orange Black Black Green Green Orange Orange Green Green Black Black Green Green Gray Gray\nBlack Black Gray Gray Black Black Black Black Gray Gray Black Black Green Green Black Black Orange Orange\nBlack Black Gray Gray Black Black Black Black Gray Gray Black Black Green Green Black Black Orange Orange\nBlack Black Orange Orange Black Black Black Black Orange Orange Black Black Orange Orange Green Green Green Green\nBlack Black Orange Orange Black Black Black Black Orange Orange Black Black Orange Orange Green Green Green Green\nBlack Black Gray Gray Black Black Gray Gray Black Black Green Green Black Black Black Black Green Green\nBlack Black Gray Gray Black Black Gray Gray Black Black Green Green Black Black Black Black Green Green\nBlack Black Black Black Orange Orange Black Black Orange Orange Gray Gray Black Black Black Black Green Green\nBlack Black Black Black Orange Orange Black Black Orange Orange Gray Gray Black Black Black Black Green Green\nBlack Black Orange Orange Black Black Black Black Orange Orange Gray Gray Gray Gray Black Black Orange Orange\nBlack Black Orange Orange Black Black Black Black Orange Orange Gray Gray Gray Gray Black Black Orange Orange\nGreen Green Gray Gray Black Black Black Black Gray Gray Orange Orange Gray Gray Black Black Green Green\nGreen Green Gray Gray Black Black Black Black Gray Gray Orange Orange Gray Gray Black Black Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Green Green Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray Black Black\nBlack Black Green Green Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray Black Black\nGray Gray Black Black Black Black Orange Orange Black Black Gray Gray Gray Gray Green Green Gray Gray\nGray Gray Black Black Black Black Orange Orange Black Black Gray Gray Gray Gray Green Green Gray Gray\nGreen Green Black Black Green Green Gray Gray Black Black Orange Orange Black Black Orange Orange Green Green\nGreen Green Black Black Green Green Gray Gray Black Black Orange Orange Black Black Orange Orange Green Green\nBlack Black Gray Gray Black Black Green Green Orange Orange Orange Orange Black Black Orange Orange Black Black\nBlack Black Gray Gray Black Black Green Green Orange Orange Orange Orange Black Black Orange Orange Black Black\nGreen Green Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Orange Orange\nGreen Green Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Orange Orange\nOrange Orange Black Black Gray Gray Black Black Green Green Black Black Green Green Black Black Gray Gray\nOrange Orange Black Black Gray Gray Black Black Green Green Black Black Green Green Black Black Gray Gray\nGray Gray Black Black Gray Gray Black Black Orange Orange Black Black Black Black Black Black Green Green\nGray Gray Black Black Gray Gray Black Black Orange Orange Black Black Black Black Black Black Green Green\nBlack Black Green Green Black Black Black Black Orange Orange Green Green Green Green Black Black Green Green\nBlack Black Green Green Black Black Black Black Orange Orange Green Green Green Green Black Black Green Green\nGreen Green Gray Gray Black Black Gray Gray Orange Orange Orange Orange Green Green Black Black Gray Gray\nGreen Green Gray Gray Black Black Gray Gray Orange Orange Orange Orange Green Green Black Black Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Orange Orange Gray Gray Green Green Gray Gray Green Green Gray Gray Green Green Black Black\nBlack Black Orange Orange Gray Gray Green Green Gray Gray Green Green Gray Gray Green Green Black Black\nGreen Green Black Black Black Black Gray Gray Black Black Green Green Green Green Orange Orange Green Green\nGreen Green Black Black Black Black Gray Gray Black Black Green Green Green Green Orange Orange Green Green\nOrange Orange Black Black Orange Orange Green Green Black Black Gray Gray Black Black Gray Gray Orange Orange\nOrange Orange Black Black Orange Orange Green Green Black Black Gray Gray Black Black Gray Gray Orange Orange\nBlack Black Green Green Black Black Orange Orange Gray Gray Gray Gray Black Black Gray Gray Black Black\nBlack Black Green Green Black Black Orange Orange Gray Gray Gray Gray Black Black Gray Gray Black Black\nOrange Orange Green Green Green Green Green Green Black Black Black Black Green Green Green Green Gray Gray\nOrange Orange Green Green Green Green Green Green Black Black Black Black Green Green Green Green Gray Gray\nGray Gray Black Black Green Green Black Black Orange Orange Black Black Orange Orange Black Black Green Green\nGray Gray Black Black Green Green Black Black Orange Orange Black Black Orange Orange Black Black Green Green\nGreen Green Black Black Green Green Black Black Gray Gray Black Black Black Black Black Black Orange Orange\nGreen Green Black Black Green Green Black Black Gray Gray Black Black Black Black Black Black Orange Orange\nBlack Black Orange Orange Black Black Black Black Gray Gray Orange Orange Orange Orange Black Black Orange Orange\nBlack Black Orange Orange Black Black Black Black Gray Gray Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Green Green Black Black Green Green Gray Gray Gray Gray Orange Orange Black Black Green Green\nOrange Orange Green Green Black Black Green Green Gray Gray Gray Gray Orange Orange Black Black Green Green\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Pink Brown Purple Gray Pink Black Black Black Black Black Black\nOrange Brown Green Green Orange Orange Black Black Black Black Black Black\nBrown Orange Gray Orange Blue Pink Black Black Black Black Black Black\nGray Purple Orange Yellow Purple Red Black Black Black Black Black Black\nOrange Orange Green Orange Blue Purple Black Black Black Black Black Black\nGreen Green Green Purple Yellow Gray Black Black Black Black Black Black\nBrown Purple Brown Orange Yellow Yellow Black Black Black Black Black Black\nGreen Orange Purple Gray Pink Pink Black Black Black Black Black Black\n\nOutput:\nYellow Pink Brown Purple Gray Pink Gray Pink Brown Brown Gray Blue\nOrange Brown Green Green Orange Orange Black Black Red Red Brown Black\nBrown Orange Gray Orange Blue Pink Gray Yellow Black Pink Black Brown\nGray Purple Orange Yellow Purple Red Green Brown Blue Black Brown Pink\nOrange Orange Green Orange Blue Purple Brown Yellow Black Red Black Black\nGreen Green Green Purple Yellow Gray Pink Blue Brown Red Red Red\nBrown Purple Brown Orange Yellow Yellow Blue Blue Black Brown Brown Brown\nGreen Orange Purple Gray Pink Pink Gray Gray Pink Brown Black Red\n\n\nExample 2\nInput:\nOrange Yellow Blue Red Green Pink Black Black Black Black Black Black\nBlue Gray Red Orange Brown Blue Black Black Black Black Black Black\nPurple Brown Gray Brown Brown Purple Black Black Black Black Black Black\nPurple Brown Pink Orange Blue Orange Black Black Black Black Black Black\nBrown Pink Green Green Yellow Yellow Black Black Black Black Black Black\nOrange Yellow Blue Purple Purple Pink Black Black Black Black Black Black\nOrange Blue Green Red Pink Blue Black Black Black Black Black Black\n\nOutput:\nOrange Yellow Blue Red Green Pink Gray Red Green Yellow Blue Black\nBlue Gray Red Orange Brown Blue Yellow Brown Black Green Pink Yellow\nPurple Brown Gray Brown Brown Purple Brown Brown Brown Pink Brown Brown\nPurple Brown Pink Orange Blue Orange Black Yellow Black Gray Brown Brown\nBrown Pink Green Green Yellow Yellow Blue Blue Red Red Gray Brown\nOrange Yellow Blue Purple Purple Pink Gray Brown Brown Yellow Blue Black\nOrange Blue Green Red Pink Blue Yellow Gray Green Red Yellow Black\n\n\nExample 3\nInput:\nBrown Yellow Yellow Red Green Black Black Black Black Black\nBlue Orange Purple Pink Orange Black Black Black Black Black\nGray Pink Blue Purple Yellow Black Black Black Black Black\nOrange Green Purple Blue Blue Black Black Black Black Black\nBrown Green Orange Gray Red Black Black Black Black Black\nYellow Pink Purple Orange Gray Black Black Black Black Black\nPink Purple Brown Yellow Brown Black Black Black Black Black\n\nOutput:\nBrown Yellow Yellow Red Green Red Green Blue Blue Brown\nBlue Orange Purple Pink Orange Black Gray Brown Black Yellow\nGray Pink Blue Purple Yellow Blue Brown Yellow Gray Pink\nOrange Green Purple Blue Blue Yellow Yellow Brown Red Black\nBrown Green Orange Gray Red Green Pink Black Red Brown\nYellow Pink Purple Orange Gray Pink Black Brown Gray Blue\nPink Purple Brown Yellow Brown Brown Blue Brown Brown Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Green Pink Brown Black Black Black Black Black\nGray Brown Blue Pink Gray Black Black Black Black Black\nPink Gray Pink Brown Brown Black Black Black Black Black\nOrange Pink Pink Pink Purple Black Black Black Black Black\nBrown Yellow Blue Orange Orange Black Black Black Black Black\nPink Gray Blue Red Pink Black Black Black Black Black\nBrown Red Purple Orange Blue Black Black Black Black Black\nOrange Yellow Purple Green Gray Black Black Black Black Black\nOrange Red Pink Green Green Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Gray Green Pink Brown Brown Gray Red Pink Gray\nGray Brown Blue Pink Gray Pink Gray Yellow Brown Pink\nPink Gray Pink Brown Brown Brown Brown Gray Pink Gray\nOrange Pink Pink Pink Purple Brown Gray Gray Gray Black\nBrown Yellow Blue Orange Orange Black Black Yellow Blue Brown\nPink Gray Blue Red Pink Gray Green Yellow Pink Gray\nBrown Red Purple Orange Blue Yellow Black Brown Green Brown\nOrange Yellow Purple Green Gray Pink Red Brown Blue Black\nOrange Red Pink Green Green Red Red Gray Green Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Brown Black Black Black Black\nBlack Black Yellow Gray Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Yellow Black\nYellow Black Black Black Black Red Black Black Black Black\nRed Black Black Pink Black Black Black Black Black Black\nGray Green Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nYellow Black Black Black Brown Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Brown Red Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Brown Red Black Black Black Black\n\n\nExample 2\nInput:\nYellow Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Yellow Black Black Orange Black\nBlack Red Blue Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Red Black Black Black Yellow Black Black Brown\nBlack Black Black Brown Brown Black Green Black Black Black\nBlack Black Yellow Orange Black Yellow Black Orange Black Brown\nRed Black Orange Purple Purple Black Yellow Blue Black Black\nBlack Brown Black Orange Orange Black Black Green Black Black\nBlack Black Brown Black Black Purple Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Red Green Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Red Green Red Black\nBlack Black Black Black Black Black Red Red Red Black\n\n\nExample 3\nInput:\nPurple Red Black Black Black Black Black Yellow Pink Black\nBlack Red Black Black Black Yellow Black Pink Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Gray Black Pink Black Purple Orange Black\nBlack Black Gray Red Pink Black Yellow Black Black Black\nBlack Purple Black Black Purple Black Black Black Purple Black\nBlack Black Red Black Black Black Brown Black Black Orange\nBlack Black Yellow Black Black Black Black Black Orange Black\nPink Yellow Black Black Black Orange Black Brown Black Black\nBlack Black Black Black Black Black Black Brown Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black\nBlack Red Gray Red Red Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Brown Black Green Brown Black Black Black\nBlack Black Black Gray Blue Black Black Red Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Red Black Black Black Black\nGray Black Black Black Gray Green Gray Black Black Black\nBlack Black Gray Black Black Black Purple Black Black Black\nBlack Black Black Black Yellow Gray Black Black Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Purple Purple Black Black Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Black Black Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Blue Blue Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Purple Purple\nPurple Purple Blue Blue Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Purple Purple\nBlack Black Purple Purple Yellow Yellow Brown Brown Purple Purple Black Black Black Black Brown Brown Purple Purple Blue Blue\nBlack Black Purple Purple Yellow Yellow Brown Brown Purple Purple Black Black Black Black Brown Brown Purple Purple Blue Blue\nPurple Purple Purple Purple Yellow Yellow Brown Brown Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Blue Blue\nPurple Purple Purple Purple Yellow Yellow Brown Brown Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Blue Blue\nBlue Blue Purple Purple Yellow Yellow Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Purple Purple\nBlue Blue Purple Purple Yellow Yellow Black Black Purple Purple Black Black Purple Purple Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Brown Brown Yellow Yellow Brown Brown Blue Blue Black Black Black Black Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Yellow Yellow Brown Brown Blue Blue Black Black Black Black Brown Brown\nBrown Brown Brown Brown Purple Purple Brown Brown Purple Purple Black Black Purple Purple Yellow Yellow Purple Purple Purple Purple\nBrown Brown Brown Brown Purple Purple Brown Brown Purple Purple Black Black Purple Purple Yellow Yellow Purple Purple Purple Purple\nBrown Brown Blue Blue Blue Blue Purple Purple Black Black Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple\nBrown Brown Blue Blue Blue Blue Purple Purple Black Black Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Yellow Yellow Brown Brown Brown Brown Yellow Yellow Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Yellow Yellow Brown Brown Brown Brown Yellow Yellow Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Yellow Yellow Purple Purple Brown Brown Black Black Brown Brown Brown Brown Black Black Blue Blue Purple Purple\nPurple Purple Yellow Yellow Purple Purple Brown Brown Black Black Brown Brown Brown Brown Black Black Blue Blue Purple Purple\n\nOutput:\nGreen Green Green Green Green Green Black Black Green Green Black Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Green Green Black Black Green Green Green Green Green Green Green Green\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Green Green\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Black Black Black Black Green Green\nBlack Black Green Green Black Black Yellow Yellow Green Green Black Black Black Black Yellow Yellow Green Green Yellow Yellow\nBlack Black Green Green Black Black Yellow Yellow Green Green Black Black Black Black Yellow Yellow Green Green Yellow Yellow\nGreen Green Green Green Black Black Yellow Yellow Green Green Green Green Yellow Yellow Green Green Green Green Yellow Yellow\nGreen Green Green Green Black Black Yellow Yellow Green Green Green Green Yellow Yellow Green Green Green Green Yellow Yellow\nYellow Yellow Green Green Black Black Black Black Green Green Black Black Green Green Black Black Green Green Green Green\nYellow Yellow Green Green Black Black Black Black Green Green Black Black Green Green Black Black Green Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\nGreen Green Green Green Green Green Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Green Green Yellow Yellow Green Green Black Black Green Green Black Black Green Green Green Green\nYellow Yellow Yellow Yellow Green Green Yellow Yellow Green Green Black Black Green Green Black Black Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Black Black Yellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Black Black Yellow Yellow Green Green Green Green Green Green Green Green\nBlack Black Green Green Black Black Yellow Yellow Yellow Yellow Black Black Black Black Green Green Green Green Green Green\nBlack Black Green Green Black Black Yellow Yellow Yellow Yellow Black Black Black Black Green Green Green Green Green Green\nGreen Green Black Black Green Green Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Green Green\nGreen Green Black Black Green Green Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Green Green\n\n\nExample 2\nInput:\nGray Gray Gray Gray Brown Brown Gray Gray Gray Gray Red Red Red Red Black Black Black Black Gray Gray\nGray Gray Gray Gray Brown Brown Gray Gray Gray Gray Red Red Red Red Black Black Black Black Gray Gray\nBrown Brown Red Red Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Black Black Gray Gray Black Black\nBrown Brown Red Red Gray Gray Brown Brown Brown Brown Gray Gray Gray Gray Black Black Gray Gray Black Black\nGray Gray Brown Brown Brown Brown Brown Brown Gray Gray Red Red Gray Gray Brown Brown Gray Gray Black Black\nGray Gray Brown Brown Brown Brown Brown Brown Gray Gray Red Red Gray Gray Brown Brown Gray Gray Black Black\nGray Gray Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Brown Brown\nGray Gray Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Brown Brown\nGray Gray Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown\nGray Gray Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown\nBrown Brown Black Black Gray Gray Red Red Red Red Red Red Gray Gray Black Black Red Red Red Red\nBrown Brown Black Black Gray Gray Red Red Red Red Red Red Gray Gray Black Black Red Red Red Red\nBrown Brown Brown Brown Red Red Red Red Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown Red Red\nBrown Brown Brown Brown Red Red Red Red Brown Brown Brown Brown Brown Brown Gray Gray Brown Brown Red Red\nBlack Black Black Black Brown Brown Gray Gray Gray Gray Black Black Red Red Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Brown Brown Gray Gray Gray Gray Black Black Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Red Red Red Red Black Black Red Red Red Red Gray Gray Gray Gray Brown Brown Black Black\nGray Gray Red Red Red Red Black Black Red Red Red Red Gray Gray Gray Gray Brown Brown Black Black\nRed Red Brown Brown Gray Gray Gray Gray Red Red Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray\nRed Red Brown Brown Gray Gray Gray Gray Red Red Gray Gray Brown Brown Brown Brown Brown Brown Gray Gray\n\nOutput:\nGreen Green Green Green Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Black Black Black Black Green Green\nGreen Green Green Green Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Black Black Black Black Green Green\nYellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Green Green Black Black Green Green Black Black\nYellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Green Green Green Green Black Black Green Green Black Black\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Green Green Yellow Yellow Green Green Black Black\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Green Green Yellow Yellow Green Green Black Black\nGreen Green Yellow Yellow Green Green Green Green Green Green Green Green Black Black Green Green Green Green Yellow Yellow\nGreen Green Yellow Yellow Green Green Green Green Green Green Green Green Black Black Green Green Green Green Yellow Yellow\nGreen Green Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow\nGreen Green Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow\nYellow Yellow Black Black Green Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Green Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Green Green Green Green Black Black Yellow Yellow Green Green Green Green Green Green\nBlack Black Black Black Yellow Yellow Green Green Green Green Black Black Yellow Yellow Green Green Green Green Green Green\nGreen Green Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow Black Black\nGreen Green Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nYellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Yellow Yellow Blue Blue Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Yellow Yellow Blue Blue Pink Pink\nPink Pink Pink Pink Brown Brown Black Black Pink Pink Black Black Black Black Yellow Yellow Black Black Black Black\nPink Pink Pink Pink Brown Brown Black Black Pink Pink Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Brown Brown Pink Pink Brown Brown Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Pink Pink Brown Brown Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Yellow Yellow Black Black Pink Pink Brown Brown Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Yellow Yellow Black Black Pink Pink Brown Brown Black Black\nBrown Brown Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Pink Pink Black Black\nBlack Black Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Yellow Yellow Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Yellow Yellow Black Black Black Black Brown Brown Brown Brown\nBlack Black Brown Brown Black Black Brown Brown Black Black Yellow Yellow Black Black Black Black Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Pink Pink Pink Pink Blue Blue Black Black Blue Blue Pink Pink Black Black Pink Pink Black Black\nBlue Blue Pink Pink Pink Pink Blue Blue Black Black Blue Blue Pink Pink Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Pink Pink Blue Blue Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Pink Pink Blue Blue Black Black Black Black Black Black Pink Pink Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Blue Blue Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Blue Blue Pink Pink\nBlue Blue Blue Blue Pink Pink Blue Blue Black Black Blue Blue Black Black Black Black Black Black Pink Pink\nBlue Blue Blue Blue Pink Pink Blue Blue Black Black Blue Blue Black Black Black Black Black Black Pink Pink\nBlack Black Blue Blue Purple Purple Black Black Pink Pink Black Black Black Black Black Black Blue Blue Pink Pink\nBlack Black Blue Blue Purple Purple Black Black Pink Pink Black Black Black Black Black Black Blue Blue Pink Pink\nBlue Blue Pink Pink Purple Purple Pink Pink Black Black Pink Pink Purple Purple Pink Pink Pink Pink Blue Blue\nBlue Blue Pink Pink Purple Purple Pink Pink Black Black Pink Pink Purple Purple Pink Pink Pink Pink Blue Blue\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black Black Black Blue Blue Pink Pink\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Black Black Black Black Black Black Blue Blue Pink Pink\nPink Pink Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Black Black Blue Blue\nPink Pink Blue Blue Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Pink Pink Pink Pink Black Black Pink Pink Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Pink Pink Pink Pink Black Black Pink Pink Blue Blue Black Black\nPurple Purple Pink Pink Blue Blue Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Black Black\nPurple Purple Pink Pink Blue Blue Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Green Green Green Green Yellow Yellow Black Black Yellow Yellow Green Green Black Black Green Green Black Black\nYellow Yellow Green Green Green Green Yellow Yellow Black Black Yellow Yellow Green Green Black Black Green Green Black Black\nBlack Black Green Green Black Black Green Green Yellow Yellow Black Black Black Black Black Black Green Green Black Black\nBlack Black Green Green Black Black Green Green Yellow Yellow Black Black Black Black Black Black Green Green Black Black\nGreen Green Green Green Black Black Green Green Green Green Green Green Green Green Black Black Yellow Yellow Green Green\nGreen Green Green Green Black Black Green Green Green Green Green Green Green Green Black Black Yellow Yellow Green Green\nYellow Yellow Yellow Yellow Green Green Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Green Green\nYellow Yellow Yellow Yellow Green Green Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Green Green\nBlack Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black Black Black Yellow Yellow Green Green\nBlack Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black Black Black Yellow Yellow Green Green\nYellow Yellow Green Green Black Black Green Green Black Black Green Green Black Black Green Green Green Green Yellow Yellow\nYellow Yellow Green Green Black Black Green Green Black Black Green Green Black Black Green Green Green Green Yellow Yellow\nBlack Black Green Green Green Green Black Black Green Green Black Black Black Black Black Black Yellow Yellow Green Green\nBlack Black Green Green Green Green Black Black Green Green Black Black Black Black Black Black Yellow Yellow Green Green\nGreen Green Yellow Yellow Green Green Green Green Green Green Black Black Black Black Green Green Black Black Yellow Yellow\nGreen Green Yellow Yellow Green Green Green Green Green Green Black Black Black Black Green Green Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Black Black Green Green Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Green Green Green Green Black Black Green Green Yellow Yellow Black Black\nBlack Black Green Green Yellow Yellow Black Black Black Black Green Green Green Green Black Black Green Green Black Black\nBlack Black Green Green Yellow Yellow Black Black Black Black Green Green Green Green Black Black Green Green Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Brown Brown Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Brown Brown Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Brown Brown Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Brown Brown Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue 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 Blue Blue Blue Blue 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 Blue Blue Blue Blue 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 Blue Blue Red Red 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 Blue Blue Red Red 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 Blue Blue Blue Blue 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 Blue Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue 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 Blue Blue Blue Blue 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 Blue Blue Blue Blue 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 Blue Blue Red Red 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 Blue Blue Red Red 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 Blue Blue Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Yellow Black Black Black Black Black Black Orange Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nPurple Black Orange Orange Purple Black Black Purple Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Orange Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange\nOrange\nOrange\nOrange\nOrange\nOrange\nPurple\nPurple\nPurple\nPurple\nPurple\nPurple\nPurple\nYellow\nYellow\nYellow\n\n\nExample 2\nInput:\nBlack Purple Black Purple Black Black Black Black Black Black\nBlack Orange Black Orange Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Orange Purple Black Yellow Black Black Black\n\nOutput:\nOrange\nOrange\nOrange\nOrange\nOrange\nOrange\nPurple\nPurple\nPurple\nPurple\nPurple\nYellow\nYellow\n\n\nExample 3\nInput:\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Yellow Orange Black Black Black Black Black Black Black\nPurple Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nPurple Black Orange Black Black Black Black Black Black Black\n\nOutput:\nOrange\nOrange\nOrange\nOrange\nPurple\nPurple\nPurple\nPurple\nPurple\nPurple\nYellow\nYellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Orange\nBlack Black Black Orange Purple Black Black Yellow Black Black\nYellow Yellow Black Black Purple Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Yellow Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange\nOrange\nOrange\nOrange\nOrange\nPurple\nPurple\nPurple\nPurple\nYellow\nYellow\nYellow\nYellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Red Black Black Green Black Yellow Black Black Yellow Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Red Black Black Black Black Black Black Black\nBlack Red Yellow Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Red Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Green Green Black Green Black Black Black\nBlack Black Red Black Green Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Yellow Black Black Black Black Black Green Red Green Black\nBlack Red Black Black Yellow Black Black Red Black Black Black Yellow Black\nBlack Black Red Black Black Black Green Black Black Green Black Black Black\nBlack Black Green Black Black Black Red Yellow Black Black Black Black Yellow\nBlack Black Black Red Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Black Black Green Black Yellow Black Black Yellow Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Red Black Black Black Black Black Black Black\nBlack Red Yellow Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Red Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Green Green Black Green Black Black Black\nBlack Black Red Black Green Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Blue Black Black\nBlack Black Black Yellow Black Black Black Black Black Green Blue Blue Black\nBlack Red Black Black Yellow Black Black Red Black Black Black Blue Black\nBlack Black Red Black Black Black Blue Black Black Green Black Black Black\nBlack Black Green Black Black Black Blue Blue Black Black Black Black Yellow\nBlack Black Black Red Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Yellow Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Red Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Red\nBlack Black Black Yellow Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Red Black Yellow Black Black Green\nYellow Black Black Black Green Black Black Black Yellow Black Green Yellow\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Yellow Black Black\nBlack Red Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Yellow Black Black Black Black Green\nBlack Black Black Black Green Black Black Black Yellow Black Red Black\nBlack Black Black Red Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\n\nOutput:\nRed Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Red Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Red\nBlack Black Black Blue Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Red Black Yellow Black Black Green\nYellow Black Black Black Green Black Black Black Yellow Black Green Yellow\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Yellow Black Black\nBlack Red Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Yellow Black Black Black Black Green\nBlack Black Black Black Green Black Black Black Yellow Black Red Black\nBlack Black Black Red Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\n\n\nExample 3\nInput:\nBlack Black Red Green Black Red Black Red Black Green Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Yellow Yellow Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Green Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Red Red Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Yellow Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Red Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Green Black Red Black Red Red Black Black\nBlack Black Black Black Red Red Yellow Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Yellow Green Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Red Black Black Green Black Black Black Black Black\nBlack Black Black Black Yellow Green Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Green Black Red Black Red Black Green Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Yellow Yellow Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Blue Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Blue Blue Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Yellow Black Yellow Black Blue Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Red Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Green Black Red Black Red Red Black Black\nBlack Black Black Black Red Red Yellow Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Yellow Green Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Red Black Black Green Black Black Black Black Black\nBlack Black Black Black Yellow Green Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Yellow Green Black Black Black Black Black Black Black Black Red Black Red Black Black Black Black Black\nRed Black Red Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Green Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Red Black Black Black Black Green Black Black Black Black Black Green Black Black\nBlack Yellow Black Black Black Black Black Black Yellow Black Red Black Black Black Black Black Black Black Black\nBlack Green Black Red Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Red Black Black Black Black Green Black Black Black Red Red Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Red Black Black Black Yellow\nBlack Black Black Black Red Green Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Blue Blue Black Black Black Black Black Black Black Black Red Black Red Black Black Black Black Black\nRed Black Blue Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Green Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Red Black Black Black Black Green Black Black Black Black Black Green Black Black\nBlack Yellow Black Black Black Black Black Black Yellow Black Red Black Black Black Black Black Black Black Black\nBlack Green Black Red Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Red Black Black Black Black Blue Black Black Black Red Red Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Red Black Black Black Yellow\nBlack Black Black Black Red Green Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Purple Black Black Black Green Black Black Black Black Black Pink\nGray Gray Black Purple Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Yellow Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Yellow Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Pink Red Pink Pink Pink Black\nBlack Black Green Green Green Green Green Green Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Blue Black Black Purple\nBlack Green Black Black Black Black Red Red Red Purple\nBlack Green Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Orange Black Black Purple\nBlack Black Black Black Black Black Orange Black Brown Black\nBlack Black Black Black Black Black Black Black Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Pink Pink Black Black Black Black Yellow Black Black\nPink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black\nBlack Green Green Black Black Black Black Gray Black Black\nGreen Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlue Blue Black Yellow Black Black Pink Pink Pink Pink\nBlue Black Black Yellow Black Black Pink Pink Pink Pink\nBlue Black Yellow Yellow Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nOrange Orange Black Gray Black Black Green Green Green Green\nOrange Black Black Gray Black Black Green Green Green Green\nOrange Black Gray Gray Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green\nBlack Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Orange Orange Black\nBlack Yellow Yellow Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nRed Red Red Black Black Green Black Black Black Black\nBlack Black Red Black Black Green Black Black Black Black\nBlack Black Red Black Green Green Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Blue Blue Black\nBlack Gray Gray Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nPurple Purple Purple Black Black Brown Black Black Black Black\nBlack Black Purple Black Black Brown Black Black Black Black\nBlack Black Purple Black Brown Brown Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\n\nOutput:\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\n\n\nExample 2\nInput:\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\n\nOutput:\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue\n\nOutput:\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nBlue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\nGreen Green Green Green Blue Blue Blue Blue Red Red Red Red Green Green Green Green Blue Blue Blue Blue Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Purple Orange Black Black Black Black Black Brown Black\nBlack Black Black Pink Purple Black Black Purple Black Blue Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Yellow Orange\nBlack Black Black Yellow Brown Black Black Black Black Green Black Black\nBlack Black Purple Black Pink Black Purple Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Green Black Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Purple Green Black Black Black Black Black Brown Black\nBlack Black Black Pink Purple Black Black Purple Black Orange Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Red Green\nBlack Black Black Red Brown Black Black Black Black Yellow Black Black\nBlack Black Purple Black Pink Black Purple Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Yellow Black Orange Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Green Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Brown Black Black Black\nBlack Black Black Black Black Orange Brown Black Purple Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Yellow Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Red Black Black Brown Black Black Black\nBlack Black Black Black Black Green Brown Black Purple Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Brown Black Black Green\nBlack Black Black Green Pink Black Gray Yellow Black Orange Blue\nGreen Black Gray Brown Black Black Black Orange Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Gray Black Black Black Black\nBlue Black Black Pink Black Black Black Black Green Black Black\nBrown Black Black Yellow Black Black Yellow Black Pink Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Brown Black Black Yellow\nBlack Black Black Yellow Pink Black Gray Red Black Green Orange\nYellow Black Gray Brown Black Black Black Green Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Gray Black Black Black Black\nOrange Black Black Pink Black Black Black Black Yellow Black Black\nBrown Black Black Red Black Black Red Black Pink Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Orange Black Brown Black Orange\nBlack Black Pink Black Black Black Green Black Yellow\nGray Pink Black Black Black Black Black Purple Black\nBlack Black Black Black Blue Pink Black Black Black\nBlack Purple Pink Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Red Black Black\nBlack Black Black Gray Black Brown Black Purple Black\nBlack Yellow Black Gray Black Gray Yellow Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Orange Green Black Brown Black Green\nBlack Black Pink Black Black Black Yellow Black Red\nGray Pink Black Black Black Black Black Purple Black\nBlack Black Black Black Orange Pink Black Black Black\nBlack Purple Pink Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Blue Black Black\nBlack Black Black Gray Black Brown Black Purple Black\nBlack Red Black Gray Black Gray Red Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Brown Brown Brown Brown Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Brown Brown Brown Brown Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Brown Brown Brown Brown Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Brown Brown Brown Brown Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Green Green Black Black Blue Blue\nBlack Black Black Black Green Green Black Black Blue Blue\nBlack Black Green Green Red Red Black Black Blue Blue\nBlack Black Green Green Red Red Black Black Blue Blue\nGreen Green Black Black Green Green Black Black Black Black\nGreen Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red\nBlack Black Black Black Black Black Yellow Yellow Red Red\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Yellow Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Brown Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Orange Black Black Black Black\nBlack Black Black Purple Black Black Orange Black Black Orange\nBlack Black Black Black Black Blue Black Black Black Black\nPurple Black Black Black Purple Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Blue Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Green Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Yellow Black Black\nBlack Green Black Black Black Black Black Black Orange Yellow\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Red Blue Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\nGray Black Black Black Black Black Black Black Black Black\nBlack Red Blue Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nGreen Brown Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Red Blue Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nOrange Black Yellow Green Black Black Brown Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nPink Black Orange Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Gray Black Pink Brown Black Black\nBlack Black Orange Red Pink Black Black Yellow Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Blue Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Black Black Black Black Black Black Black\nPurple Purple Black Black Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Blue Blue\nBlack Black Black Black Black Green Green Blue Blue\nBlack Black Black Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black\n\nOutput:\nPurple Brown Orange Green Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black\nBlack Black Orange Orange Purple Purple Yellow Yellow Black\nBlack Black Black Black Purple Purple Yellow Yellow Black\nBlack Red Red Black Black Black Black Blue Blue\nBlack Red Red Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nRed Orange Purple Yellow Blue\n\n\nExample 3\nInput:\nBlack Black Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Purple Purple Yellow Yellow Black\nYellow Yellow Red Red Purple Purple Yellow Yellow Black\nYellow Yellow Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Red Pink Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Pink Black Black Black Black Black Black\nBlack Pink Pink Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Pink Pink Black Orange Orange Black Black\nBlack Black Pink Pink Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black\nBlack Orange Orange Green Green Black Black Pink Pink\nBlack Orange Orange Black Black Black Black Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Purple Black Black Black Blue Black Black Black Black\nBlack Purple Black Black Orange Orange Orange Black Black Black\nBlack Purple Black Orange Orange Black Black Yellow Yellow Black\nBlack Black Black Purple Blue Black Black Green Green Black\nBlack Black Purple Purple Purple Black Black Green Green Black\nBlack Black Blue Purple Purple Black Brown Blue Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Gray Gray Gray Green\nGreen Green Orange Gray Gray Green Gray Orange Gray Green\nGreen Green Gray Gray Gray Green Green Green Green Green\nGreen Green Green Gray Orange Green Green Green Green Green\nGreen Gray Green Orange Orange Green Green Orange Orange Green\nGreen Gray Green Green Orange Orange Orange Green Green Green\nGreen Gray Green Green Green Orange Green Green Green Green\nGreen Green Green Green Green Orange Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Red Red Black Black Black\nBlack Black Black Red Blue Black Black\nBlack Black Pink Blue Blue Black Black\nBlack Black Pink Pink Purple Purple Black\nBlack Black Brown Brown Red Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green\nGreen Green Gray Gray Red Green Green\nGreen Green Blue Blue Gray Gray Green\nGreen Green Blue Orange Orange Green Green\nGreen Green Green Red Orange Green Green\nGreen Green Red Red Green Green Green\nGreen Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Green Orange Black Black Black\nBlack Black Black Black Blue Orange Black Black Black\nBlack Black Brown Orange Brown Black Black Black Black\nBlack Blue Blue Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Orange Green Green Green Green Green\nGreen Green Green Green Green Green Orange Orange Green\nGreen Orange Orange Green Green Green Orange Orange Green\nGreen Green Gray Orange Gray Green Green Green Green\nGreen Green Green Green Orange Orange Green Green Green\nGreen Green Green Green Green Orange Green Green Green\nGreen Green Orange Orange Orange Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Purple Green Purple Black Black Black Black\nBlack Black Green Blue Orange Red Red Black\nBlack Black Black Orange Orange Red Red Black\nBlack Blue Blue Blue Black Green Green Black\nBlack Yellow Yellow Black Black Purple Purple Black\nBlack Yellow Yellow Black Blue Purple Purple Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green\nGreen Orange Orange Green Orange Gray Gray Green\nGreen Orange Orange Green Green Gray Gray Green\nGreen Orange Orange Orange Green Green Green Green\nGreen Green Green Orange Orange Red Red Green\nGreen Green Green Orange Orange Red Red Green\nGreen Gray Green Gray Green Green Green Green\nGreen Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Yellow Green\nBlack Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black\nBlack Green Black Black Black Green Black Black\nBlack Black Black Black Black Green Black Yellow\nGreen Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black\nBlack Yellow Black Green Black Black Black Green\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Green Black Green Black Black Green Green\nBlack Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black\nBlack Green Black Black Black Green Black Black\nBlack Black Black Black Black Green Black Green\nGreen Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Green Black Green Black Black Black Green\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Green Black Black Yellow Black Black\nYellow Black Yellow Black Yellow Green Black\nYellow Black Black Yellow Black Black Yellow\nBlack Yellow Black Black Black Green Black\nBlack Black Black Black Green Black Yellow\nBlack Black Black Black Black Black Green\nYellow Black Black Yellow Green Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Green\nYellow Black Yellow Yellow Black Black Black\n\nOutput:\nBlack Green Black Black Green Black Black\nGreen Black Green Black Green Green Black\nGreen Black Black Green Black Black Green\nBlack Green Black Black Black Green Black\nBlack Black Black Black Green Black Green\nBlack Black Black Black Black Black Green\nGreen Black Black Green Green Black Black\nBlack Green Black Black Black Black Black\nBlack Black Black Black Green Black Green\nGreen Black Green Green Black Black Black\n\n\nExample 3\nInput:\nBlack Black Yellow Black Black Black Black\nBlack Green Black Black Black Green Black\nBlack Yellow Black Black Black Black Black\nBlack Yellow Black Black Black Black Green\nBlack Green Black Black Yellow Black Green\nBlack Black Green Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Green Black Yellow Black\nBlack Black Green Black Yellow Black Black\nBlack Black Black Black Green Black Black\nBlack Black Black Black Black Black Yellow\n\nOutput:\nBlack Black Green Black Black Black Black\nBlack Green Black Black Black Green Black\nBlack Green Black Black Black Black Black\nBlack Green Black Black Black Black Green\nBlack Green Black Black Green Black Green\nBlack Black Green Black Black Black Black\nBlack Black Black Green Black Black Black\nBlack Black Black Green Black Green Black\nBlack Black Green Black Green Black Black\nBlack Black Black Black Green Black Black\nBlack Black Black Black Black Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Green Green Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black\nYellow Yellow Black Black Black Black Black Black Yellow\nBlack Black Yellow Yellow Green Black Black Yellow Green\nBlack Black Black Black Black Black Yellow Black Black\nYellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\nYellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Green Green Black Black Black Black\nBlack Black Black Green Black Green Black Black Black\nGreen Green Black Black Black Black Black Black Green\nBlack Black Green Green Green Black Black Green Green\nBlack Black Black Black Black Black Green Black Black\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Pink Brown\nPurple Yellow Purple\nOrange Pink Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Gray Pink Gray Black Black Black\nBlack Black Black Purple Yellow Purple Black Black Black\nBlack Black Black Gray Pink Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Yellow Green\nPink Blue Pink\nOrange Red Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Red Blue Black Black Black\nBlack Black Black Pink Blue Pink Black Black Black\nBlack Black Black Blue Red Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Brown Red\nOrange Yellow Green\nGray Yellow Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Yellow Blue Black Black Black\nBlack Black Black Green Yellow Green Black Black Black\nBlack Black Black Blue Yellow Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Brown\nGray Green Gray\nPink Pink Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Brown Pink Brown Black Black Black\nBlack Black Black Gray Green Gray Black Black Black\nBlack Black Black Brown Pink Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Orange Gray Blue Blue Yellow Black\nBlack Orange Orange Blue Blue Yellow Black\nBlack Gray Blue Blue Gray Gray Black\nBlack Purple Blue Brown Blue Blue Black\nBlack Brown Green Yellow Orange Blue Black\nBlack Brown Green Blue Red Brown Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Blue Blue Gray Orange\nYellow Blue Blue Orange Orange\nGray Gray Blue Blue Gray\nBlue Blue Brown Blue Purple\nBlue Orange Yellow Green Brown\nBrown Red Blue Green Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Green Green Gray Gray Gray Orange Black\nBlack Brown Orange Gray Yellow Purple Purple Black\nBlack Purple Purple Purple Green Green Blue Black\nBlack Gray Gray Green Green Pink Pink Black\nBlack Yellow Yellow Green Green Yellow Pink Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nOrange Gray Gray Gray Green Green\nPurple Purple Yellow Gray Orange Brown\nBlue Green Green Purple Purple Purple\nPink Pink Green Green Gray Gray\nPink Yellow Green Green Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Orange Blue Blue Gray Gray Gray Black\nBlack Orange Orange Gray Brown Gray Gray Black\nBlack Purple Brown Green Red Red Yellow Black\nBlack Brown Brown Brown Red Blue Gray Black\nBlack Yellow Yellow Yellow Red Gray Pink Black\nBlack Yellow Yellow Blue Purple Purple Pink Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Blue Blue Orange\nGray Gray Brown Gray Orange Orange\nYellow Red Red Green Brown Purple\nGray Blue Red Brown Brown Brown\nPink Gray Red Yellow Yellow Yellow\nPink Purple Purple Blue Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Red Red Blue Blue Black\nBlack Brown Brown Pink Pink Black\nBlack Blue Pink Red Brown Black\nBlack Purple Purple Yellow Red Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Red Red\nPink Pink Brown Brown\nBrown Red Pink Blue\nRed Yellow Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nRed Red Red Red\nRed Red Red Red\n\n\nExample 2\nInput:\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nRed Red Red Red\nRed Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nRed Red Red Red Red Red\nRed Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Green Green Green Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Blue Red Black\n\n\nExample 3\nInput:\nBlack Black Black Red Red Red Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Green Green\nBlack Black Blue Blue Black Black Black Black Black Green Green\nBlack Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\nRed Black Black Green Black Black Red Black Black\nRed Black Black Green Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Red Red Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Purple Orange Black Green Black Pink Pink Green Black Black Black Black Black Black\nBlack Black Black Black Black Purple Orange Orange Green Pink Pink Pink Green Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Green Black Pink Pink Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack 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 Pink Pink Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Blue Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Blue Black Green Green Green Yellow Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Blue Orange Green Green Green Yellow Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Gray Yellow Gray Orange Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Gray Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Gray Gray Gray Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Purple Orange Black Green Black Pink Pink Green Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Pink Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGray Yellow Black Black Black Black Gray Gray Black Yellow Black Black\nGray Yellow Black Black Pink Pink Pink Pink Pink Yellow Black Black\nOrange Yellow Black Black Pink Black Purple Purple Pink Yellow Black Black\nYellow Yellow Black Blue Blue Blue Blue Blue Blue Yellow Black Black\nBlack Black Black Blue Pink Black Green Green Blue Yellow Black Black\nBlack Black Black Blue Pink Green Green Green Blue Black Black Black\nBlack Black Black Blue Black Green Green Green Blue Black Black Black\nBlack Black Black Blue Blue Blue Green Green Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Yellow Black Black Black Black Gray Gray Black Yellow Black Black\nGray Yellow Black Black Pink Pink Pink Pink Pink Yellow Black Black\nOrange Yellow Black Black Pink Black Purple Black Black Black Black Black\nYellow Yellow Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Black\nBlack Brown Yellow Blue Brown Brown Blue Yellow Blue Black Orange Black Purple Black\nBlack Brown Yellow Blue Red Brown Pink Yellow Blue Black Orange Black Purple Black\nBlack Brown Yellow Blue Pink Brown Pink Yellow Purple Purple Orange Purple Purple Black\nBlack Black Yellow Yellow Yellow Brown Brown Yellow Blue Black Orange Orange Black Black\nBlack Black Black Blue Black Black Black Pink Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Purple Black\nBlack Brown Yellow Blue Brown Brown Blue Black Black Black Black Black Purple Black\nBlack Brown Yellow Blue Red Brown Pink Yellow Black Black Black Black Purple Black\nBlack Brown Yellow Blue Pink Black Black Black Black Black Black Black Purple Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Red Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Yellow Yellow Yellow Yellow Red Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Black Red Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Black Red Black Black Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Red Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Yellow Yellow Yellow Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Gray Black Red Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Black Red Black Black Red Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Green\nBlack Black Green Black Black Green Black Green Black Green Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Green Black\nBlack Black Black Black Black Black Green Black Black Green Green Green Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Red Red Red Red Red Red Red Red Red Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nGreen Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Black Black Black Black\nGreen Black Black Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Green Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Green Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Black Black Black Green Black Black\nBlack Black Black Green Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Green Black Black\nGreen Black Black Black Black Green Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Green Black Black Black Green Black\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Brown Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Brown Brown Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Black Brown Brown Brown Black Black Black Black\nBlack Black Brown Black Black Black Black Black Brown Black Black Black Black\nBlack Black Brown Brown Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Brown Brown Brown Brown Black Brown Brown Brown Brown Black Black\nBlack Black Brown Black Brown Black Black Black Brown Black Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Black Brown Brown Brown Black Black Black Black\nBlack Black Brown Black Black Black Black Black Brown Black Black Black Black\nBlack Black Brown Brown Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Gray Black Gray Gray Gray Gray Black Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Pink Pink Pink Pink Gray Gray Gray Black Black Black Black\nBlack Black Gray Pink Pink Pink Pink Gray Gray Gray Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Gray Gray Gray Black Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Gray Black Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Yellow Yellow Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Yellow Yellow Gray Gray Black Black Black Black Black\nGray Gray Gray Black Gray Yellow Yellow Gray Gray Black Black Black Black Black\nGray Gray Gray Black Gray Yellow Yellow Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Pink Black Black Pink Black Black Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Black Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Pink Blue Blue Black Black Black Black\nBlack Black Black Pink Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red\nGreen Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green\nRed Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red\nGreen Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange\n\nOutput:\nRed Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Black Black Black Black\nBlack Yellow Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Purple\n\nOutput:\nYellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow\n\n\nExample 2\nInput:\nGreen Black Black Black Black Black\nBlack Green Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Pink\n\nOutput:\nGreen Black Green Black Green Black\nBlack Green Black Green Black Green\nGreen Black Green Black Green Black\nBlack Green Black Green Black Green\nGreen Black Green Black Green Black\nBlack Green Black Green Black Green\n\n\nExample 3\nInput:\nGreen Black Black Black Black Black\nBlack Green Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Orange\n\nOutput:\nGreen Black Green Black Green Black\nBlack Green Black Green Black Green\nGreen Black Green Black Green Black\nBlack Green Black Green Black Green\nGreen Black Green Black Green Black\nBlack Green Black Green Black Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black\nBlack Gray Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black Gray Black Gray Black\nBlack Gray Black Gray Black Gray\nGray Black Gray Black Gray Black\nBlack Gray Black Gray Black Gray\nGray Black Gray Black Gray Black\nBlack Gray Black Gray Black Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Brown Green Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Yellow Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Pink Pink Black Black Black\nRed Gray Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Yellow Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Red Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Brown Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Yellow Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Green Pink\nOrange Yellow Blue\nPurple Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Yellow Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Purple Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Orange Green Black Black Black Black Red Red Brown Black\nBlack Black Black Black Black Gray Yellow Gray Black Black Black Black Brown Yellow Red Black\nBlack Black Black Black Black Green Purple Green Black Black Black Black Pink Brown Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Yellow Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Pink\nBrown Yellow Purple\nRed Purple Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Pink Orange Black Black Black Black Black Black Black Black Black Black Black\nGray Yellow Orange Black Black Black Black Black Black Black Black Black Black Black\nBrown Purple Red Black Black Black Black Orange Green Red Black Black Black Black\nBlack Black Black Black Black Black Black Brown Yellow Red Black Black Black Black\nBlack Black Black Black Black Black Black Pink Orange Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Pink Gray Black Black Black Black Black Black Black Black Black Black Black\nRed Yellow Green Black Green Pink Pink Black Black Black Black Black Black Black\nBlue Orange Red Black Orange Yellow Brown Black Black Black Black Black Black Black\nBlack Black Black Black Orange Pink Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Pink Orange\nGray Yellow Orange\nBrown Purple Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Gray Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Yellow Red Black Black Black Black\nBlack Blue Blue Pink Black Black Black Black Green Red Red Black Black Black Black\nBlack Gray Yellow Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Gray Blue\nGreen Yellow Red\nGreen Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Gray Gray Gray Green Green Green Green Green Green Green Green Green Green\nRed Gray Gray Gray Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\n\n\nExample 2\nInput:\nPink Pink Pink Gray Gray Gray Pink Pink Pink Pink Pink\nOrange Orange Orange Gray Gray Gray Orange Orange Orange Orange Orange\nRed Red Red Gray Gray Gray Red Red Red Red Red\nBrown Brown Brown Gray Gray Gray Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Orange Orange\nBlue Blue Blue Blue Blue Blue Gray Gray Gray Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black\nYellow Yellow Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Orange Orange Black Black\nYellow Yellow Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Orange Orange Black Black\nPink Pink Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Orange Orange Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Orange Orange Black Black Black Black\nBlack Black Pink Pink Orange Orange Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black\nBlack Black Pink Pink Orange Orange Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Yellow Yellow Pink Pink Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Yellow Yellow Pink Pink Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Pink Pink Orange Orange Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Orange Orange Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Orange Orange Black Black Black Black Black Black\nPink Pink Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nPink Pink Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Pink Pink Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Pink Pink Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black Black Black\nYellow Yellow Pink Pink Pink Pink Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nYellow Yellow Pink Pink Pink Pink Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Orange Orange Orange Orange Black Black Yellow Yellow Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Black Black Orange Orange Orange Orange Black Black Yellow Yellow Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Orange Orange Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Orange Orange Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nGreen Green Green Green Green Yellow Green Green Green\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Black Black\nGreen Green Green Green Green Green Yellow Green Green\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Black Black\nGreen Green Green Green Green Green Yellow Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nGreen Green Green Green Yellow Green Green Green Green\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Red Black Black\nBlack Black Black Black Black Yellow Black Black Red Black Black\nBlack Black Black Black Black Yellow Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black\nGray Gray Gray Gray Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Red Red Red Red\n\nOutput:\nBlack Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Orange Black Black\nBlack Black Black Black Black Orange Black Black Orange Black Black\nBlack Black Black Black Black Orange Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black\nOrange Orange Orange Orange Black Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Black Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Black\nBlack Black Orange Black\nBlack Black Orange Black\nBlack Black Orange Black\nBlack Black Black Black\nBrown Brown Black Black\nBrown Brown Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nOrange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Orange Orange Orange Orange\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Brown Brown Black Black Black\nOrange Brown Brown Black Black Black\nOrange Black Black Black Black Black\nOrange Black Black Black Black Black\nOrange Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Blue Blue Blue Blue Black Black Black Black Black Pink\nPink Blue Blue Blue Blue Black Black Black Black Blue Pink\nPink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink\nPink Blue Blue Blue Blue Blue Black Black Black Black Pink\nPink Blue Blue Blue Blue Blue Blue Black Black Black Pink\nPink Blue Blue Blue Blue Blue Black Black Black Black Pink\nPink Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink\nPink Blue Blue Blue Blue Black Black Black Black Blue Pink\nPink Blue Blue Blue Blue Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Red Red Red Red Black Black Black Black Black Pink\nPink Red Red Red Red Black Black Black Black Red Pink\nPink Red Red Red Red Red Red Red Red Red Pink\nPink Red Red Red Red Red Black Black Black Black Pink\nPink Red Red Red Red Red Red Black Black Black Pink\nPink Red Red Red Red Red Black Black Black Black Pink\nPink Red Red Red Red Red Red Red Red Red Pink\nPink Red Red Red Red Black Black Black Black Red Pink\nPink Red Red Red Red Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Yellow Yellow Yellow Yellow Yellow Brown\nBrown Yellow Yellow Black Yellow Yellow Yellow Brown\nBrown Yellow Yellow Yellow Yellow Black Black Brown\nBrown Yellow Yellow Black Yellow Black Black Brown\nBrown Black Black Black Yellow Black Black Brown\nBrown Black Black Yellow Yellow Black Black Brown\nBrown Yellow Yellow Yellow Black Black Black Brown\nBrown Yellow Yellow Black Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Green Green Green Green Green Brown\nBrown Green Green Black Green Green Green Brown\nBrown Green Green Green Green Black Black Brown\nBrown Green Green Black Green Black Black Brown\nBrown Black Black Black Green Black Black Brown\nBrown Black Black Green Green Black Black Brown\nBrown Green Green Green Black Black Black Brown\nBrown Green Green Black Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Blue Blue Black Blue Blue Blue Blue Black Blue Blue Red\nRed Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red\nRed Black Blue Blue Blue Blue Blue Blue Blue Blue Black Red\nRed Blue Blue Blue Blue Black Black Blue Blue Blue Blue Red\nRed Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red\nRed Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red\nRed Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red\nRed Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red\nRed Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red\nRed Black Blue Blue Blue Blue Blue Blue Blue Blue Black Red\nRed Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Black Red Red Red Red Black Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Black Red Red Red Red Red Red Red Red Black Red\nRed Red Red Red Red Black Black Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Black Red Red Red Red Red Red Red Red Black Red\nRed Red Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Green Green Green Green Green Green Green Green Green Orange\nOrange Green Green Green Green Green Green Green Green Green Orange\nOrange Black Black Black Black Black Green Green Green Green Orange\nOrange Black Black Black Black Black Green Green Black Black Orange\nOrange Black Black Black Black Green Green Green Green Green Orange\nOrange Black Black Black Black Green Green Black Black Black Orange\nOrange Black Black Black Green Green Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange\nOrange Black Black Black Black Black Yellow Yellow Yellow Yellow Orange\nOrange Black Black Black Black Black Yellow Yellow Black Black Orange\nOrange Black Black Black Black Yellow Yellow Yellow Yellow Yellow Orange\nOrange Black Black Black Black Yellow Yellow Black Black Black Orange\nOrange Black Black Black Yellow Yellow Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Brown Black Black\nBlack Brown Black Black Black\nBrown Black Black Black Black\nBlack Black Black Black Gray\nBlack Black Black Gray Yellow\n\nOutput:\nYellow Gray Yellow Gray Yellow Gray Yellow Gray Yellow\nGray Yellow Gray Yellow Gray Yellow Gray Yellow Gray\nYellow Gray Yellow Gray Yellow Gray Yellow Gray Yellow\nGray Yellow Gray Yellow Gray Yellow Gray Yellow Gray\nYellow Gray Yellow Gray Yellow Gray Yellow Gray Yellow\nGray Yellow Gray Yellow Gray Yellow Gray Yellow Gray\nYellow Gray Yellow Gray Yellow Gray Yellow Gray Yellow\nGray Yellow Gray Yellow Gray Yellow Gray Yellow Gray\nYellow Gray Yellow Gray Yellow Gray Yellow Gray Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow\nBlack Black Black Yellow Black\nBlack Black Yellow Black Black\nBlack Yellow Black Black Orange\nYellow Black Black Orange Gray\n\nOutput:\nGray Orange Gray Orange Gray Orange Gray Orange Gray\nOrange Gray Orange Gray Orange Gray Orange Gray Orange\nGray Orange Gray Orange Gray Orange Gray Orange Gray\nOrange Gray Orange Gray Orange Gray Orange Gray Orange\nGray Orange Gray Orange Gray Orange Gray Orange Gray\nOrange Gray Orange Gray Orange Gray Orange Gray Orange\nGray Orange Gray Orange Gray Orange Gray Orange Gray\nOrange Gray Orange Gray Orange Gray Orange Gray Orange\nGray Orange Gray Orange Gray Orange Gray Orange Gray\n\n\nExample 3\nInput:\nBlack Black Black Gray Black\nBlack Black Gray Black Black\nBlack Gray Black Black Black\nGray Black Black Black Brown\nBlack Black Black Brown Green\n\nOutput:\nGreen Brown Green Brown Green Brown Green Brown Green\nBrown Green Brown Green Brown Green Brown Green Brown\nGreen Brown Green Brown Green Brown Green Brown Green\nBrown Green Brown Green Brown Green Brown Green Brown\nGreen Brown Green Brown Green Brown Green Brown Green\nBrown Green Brown Green Brown Green Brown Green Brown\nGreen Brown Green Brown Green Brown Green Brown Green\nBrown Green Brown Green Brown Green Brown Green Brown\nGreen Brown Green Brown Green Brown Green Brown Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Yellow\nBlack Black Black Yellow Blue\nBlack Black Yellow Blue Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Blue Brown Blue Brown Blue Brown Blue Brown\nBlue Brown Blue Brown Blue Brown Blue Brown Blue\nBrown Blue Brown Blue Brown Blue Brown Blue Brown\nBlue Brown Blue Brown Blue Brown Blue Brown Blue\nBrown Blue Brown Blue Brown Blue Brown Blue Brown\nBlue Brown Blue Brown Blue Brown Blue Brown Blue\nBrown Blue Brown Blue Brown Blue Brown Blue Brown\nBlue Brown Blue Brown Blue Brown Blue Brown Blue\nBrown Blue Brown Blue Brown Blue Brown Blue Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Pink Orange Gray Pink Orange\nPink Brown Purple Pink Brown Purple\nGray Pink Orange Gray Pink Orange\nPink Brown Purple Pink Brown Purple\nGray Pink Orange Gray Pink Orange\nPink Brown Purple Pink Brown Purple\n\nOutput:\nOrange Purple Orange Purple Orange Purple\nPink Brown Pink Brown Pink Brown\nGray Pink Gray Pink Gray Pink\nOrange Purple Orange Purple Orange Purple\nPink Brown Pink Brown Pink Brown\nGray Pink Gray Pink Gray Pink\n\n\nExample 2\nInput:\nBlue Blue Blue Blue\nPurple Purple Purple Purple\nBlue Blue Blue Blue\nPurple Purple Purple Purple\n\nOutput:\nBlue Purple Blue Purple\nBlue Purple Blue Purple\nBlue Purple Blue Purple\nBlue Purple Blue Purple\n\n\nExample 3\nInput:\nGray Yellow Gray Yellow\nGray Yellow Gray Yellow\nGray Yellow Gray Yellow\nGray Yellow Gray Yellow\n\nOutput:\nYellow Yellow Yellow Yellow\nGray Gray Gray Gray\nYellow Yellow Yellow Yellow\nGray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Yellow Pink Pink Yellow\nOrange Blue Red Orange Blue Red\nPink Pink Yellow Pink Pink Yellow\nOrange Blue Red Orange Blue Red\nPink Pink Yellow Pink Pink Yellow\nOrange Blue Red Orange Blue Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Red Yellow Red Yellow Red\nPink Blue Pink Blue Pink Blue\nPink Orange Pink Orange Pink Orange\nYellow Red Yellow Red Yellow Red\nPink Blue Pink Blue Pink Blue\nPink Orange Pink Orange Pink Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black\nPink Pink Black Black Black Black Brown Black Black Black\nPink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\n\nOutput:\nBlack Red Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Blue Blue Black\nBlack Black Black Red Red Black Black Blue Blue Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black\nBlack Black Gray Gray Black Black Orange Orange Orange Black\nBlack Black Gray Gray Black Black Orange Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black\nOrange Black Orange Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Red Red Red\nGreen Black Green Black Black Black Black Red Red Red\nGreen Green Green Black Pink Pink Black Red Red Red\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Yellow Yellow Black\nBlack Black Gray Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Black Black Black Black\nPink Pink Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Black Black Black Black Purple Brown Black Blue Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Orange Purple Black Brown Black Red Black Pink Black Black Green Black\nBlack Gray Blue Black Black Black Black Black Black Black Black Pink Black Pink Black Black Black Red\nOrange Black Black Yellow Black Black Black Red Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Brown Yellow Black Black Black Black Purple Black Black Black Blue Black Black\nGray Brown Black Purple Black Yellow Yellow Red Blue Black Black Black Black Black Black Purple Black Black\nYellow Black Black Orange Purple Green Black Black Black Black Purple Black Brown Black Black Black Black Black\nRed Black Red Black Black Black Black Black Black Black Blue Black Black Purple Black Black Black Yellow\n\nOutput:\nBlue Black Black Black Black Black Brown Purple Black Yellow Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Orange Brown Black Purple Black Green Black Gray Black Black Red Black\nBlack Pink Yellow Black Black Black Black Black Black Black Black Gray Black Gray Black Black Black Green\nOrange Black Black Blue Black Black Black Green Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Purple Blue Black Black Black Black Brown Black Black Black Yellow Black Black\nPink Purple Black Brown Black Blue Blue Green Yellow Black Black Black Black Black Black Brown Black Black\nBlue Black Black Orange Brown Red Black Black Black Black Brown Black Purple Black Black Black Black Black\nGreen Black Green Black Black Black Black Black Black Black Yellow Black Black Brown Black Black Black Blue\n\n\nExample 2\nInput:\nBlack Blue Black Black Black Black Black\nBlack Black Gray Black Black Black Purple\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Green Black Black Black\nBlack Gray Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Black Black Black Black\nBlack Black Pink Black Black Black Brown\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Red Black Black Black\nBlack Pink Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Blue Purple Black Black Black Black\nBlack Orange Black Black Black Black Black\nBlack Black Black Black Black Green Black\nBrown Yellow Orange Black Black Black Black\nBlack Gray Black Black Gray Black Purple\nBlack Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black\nBlack Black Brown Black Black Pink Yellow\nBlack Black Gray Black Black Black Black\nBlack Black Black Black Green Black Black\nBlack Black Green Black Black Blue Brown\n\nOutput:\nRed Yellow Brown Black Black Black Black\nBlack Orange Black Black Black Black Black\nBlack Black Black Black Black Red Black\nPurple Blue Orange Black Black Black Black\nBlack Pink Black Black Pink Black Brown\nBlack Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black\nBlack Black Purple Black Black Gray Blue\nBlack Black Pink Black Black Black Black\nBlack Black Black Black Red Black Black\nBlack Black Red Black Black Yellow Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Orange Brown Gray Blue Black Yellow Black\nBlack Black Black Brown Orange Green Pink Black Black\nPurple Purple Black Black Gray Blue Black Pink Black\nBlack Black Blue Black Gray Black Black Green Black\nBlack Black Black Green Pink Black Black Black Black\nGray Blue Brown Orange Black Black Black Gray Green\nGreen Black Orange Red Black Black Yellow Black Brown\nOrange Black Yellow Yellow Black Black Purple Black Pink\nGray Green Orange Yellow Black Orange Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Purple Orange Purple Pink Yellow Black Blue Black\nBlack Black Black Purple Orange Red Gray Black Black\nBrown Brown Black Black Pink Yellow Black Gray Black\nBlack Black Yellow Black Pink Black Black Red Black\nBlack Black Black Red Gray Black Black Black Black\nPink Yellow Purple Orange Black Black Black Pink Red\nRed Black Orange Green Black Black Blue Black Purple\nOrange Black Blue Blue Black Black Brown Black Gray\nPink Red Orange Blue Black Orange Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Black Blue Black Black Red Black Blue Pink Black\nBlack Black Black Black Black Brown Black Green Yellow Red\nBlack Yellow Black Red Black Black Black Black Black Black\nYellow Black Black Green Blue Black Black Green Black Black\nRed Black Green Yellow Black Black Purple Black Black Black\nBlack Brown Orange Black Black Black Black Black Orange Purple\nBlack Yellow Black Orange Pink Orange Pink Black Gray Black\nBlack Black Black Black Black Pink Black Black Pink Yellow\nBlack Pink Black Pink Black Black Black Gray Pink Black\nBlack Black Black Black Blue Black Black Brown Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black\n\n\nExample 2\nInput:\nRed Green Black Purple Black Orange Black Blue Black Pink\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Green Black Blue Black Black Pink Black Black\nBlack Black Purple Purple Black Black Red Pink Purple Black\nBlack Black Black Black Black Orange Green Black Black Orange\nBlack Red Black Black Pink Orange Pink Black Pink Black\nPurple Black Black Black Black Purple Blue Black Purple Black\nBlack Black Black Black Black Black Black Green Green Orange\nBlack Pink Black Green Black Black Black Red Black Black\nBlack Purple Green Black Orange Black Pink Black Black Black\n\nOutput:\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Black Black Black Pink Pink Black Black Black Black\nGray Black Black Black Black Yellow Gray Black Red Black\nPurple Black Orange Black Black Black Black Red Yellow Black\nBlack Black Black Gray Blue Pink Black Black Black Black\nBlack Black Black Purple Orange Black Purple Black Black Black\nBlack Yellow Red Yellow Yellow Black Yellow Black Orange Black\nBlack Blue Black Purple Black Pink Orange Black Black Black\nRed Black Black Pink Black Black Black Black Black Orange\nYellow Black Black Pink Black Orange Black Yellow Black Black\nBlack Pink Black Black Black Black Gray Black Black Pink\n\nOutput:\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Brown Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nGreen Blue Black Black Black Black Red Black Black Black\nBlack Pink Black Black Black Black Pink Black Pink Black\nBlack Black Black Black Black Black Black Brown Black Black\nBrown Black Black Pink Pink Black Black Yellow Black Black\nBlack Black Yellow Pink Black Black Black Pink Black Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black\nBlack Pink Green Blue Blue Blue Black\nBlack Black Green Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBrown Black Black Black Black\nPink Green Blue Blue Blue\nBlack Green Black Black Black\nBlack Green Black Black Black\nBlack Black Black Green Black\nBlack Black Black Green Black\nBlue Blue Blue Green Pink\nBlack Black Black Black Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Blue Purple Black\nBlack Brown Brown Gray Yellow Black\nBlack Black Gray Gray Red Black\nBlack Brown Brown Gray Yellow Black\nBlack Black Black Blue Purple Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Blue Purple\nBrown Brown Gray Yellow\nBlack Gray Gray Red\nBrown Brown Gray Yellow\nBlack Black Blue Purple\nPurple Blue Black Black\nYellow Gray Brown Brown\nRed Gray Gray Black\nYellow Gray Brown Brown\nPurple Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Red Red Green Black Black Black\nBlack Red Red Black Yellow Black Black\nBlack Pink Brown Black Orange Blue Black\nBlack Pink Pink Pink Orange Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Red Black Black Black\nRed Red Green Black Black\nRed Red Black Yellow Black\nPink Brown Black Orange Blue\nPink Pink Pink Orange Black\nBlack Orange Pink Pink Pink\nBlue Orange Black Brown Pink\nBlack Yellow Black Red Red\nBlack Black Green Red Red\nBlack Black Black Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Brown Orange Green Black\nBlack Green Green Black Black\nBlack Brown Orange Green Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Orange Green\nGreen Green Black\nBrown Orange Green\nGreen Orange Brown\nBlack Green Green\nGreen Orange Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Green Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Yellow Yellow Yellow Green Green Green Green Green Green\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Green Green Green\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Green Green Green\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Green Green Green\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Green Green Green\n\nOutput:\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Blue Blue Blue Green Green Green Red Red Red\nGreen Green Green Blue Blue Blue Green Green Green Red Red Red\nGreen Green Green Blue Blue Blue Green Green Green Red Red Red\nYellow Yellow Yellow Green Green Green Red Red Red Red Red Red\nYellow Yellow Yellow Green Green Green Red Red Red Red Red Red\nYellow Yellow Yellow Green Green Green Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Green Green Green Green Green Green\n\n\nExample 2\nInput:\nRed Red Red Yellow Yellow Yellow Red Red Red Green Green Green\nRed Red Red Yellow Yellow Yellow Red Red Red Green Green Green\nRed Red Red Yellow Yellow Yellow Red Red Red Green Green Green\nYellow Yellow Yellow Green Green Green Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Green Green Green Yellow Yellow Yellow Red Red Red\nYellow Yellow Yellow Green Green Green Yellow Yellow Yellow Red Red Red\nBlue Blue Blue Red Red Red Blue Blue Blue Green Green Green\nBlue Blue Blue Red Red Red Blue Blue Blue Green Green Green\nBlue Blue Blue Red Red Red Blue Blue Blue Green Green Green\nGreen Green Green Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Yellow Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Yellow Yellow Yellow Green Green Green Green Green Green\n\nOutput:\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Green Green Green Red Red Red Blue Blue Blue\nYellow Yellow Yellow Green Green Green Red Red Red Blue Blue Blue\nYellow Yellow Yellow Green Green Green Red Red Red Blue Blue Blue\nGreen Green Green Blue Blue Blue Yellow Yellow Yellow Green Green Green\nGreen Green Green Blue Blue Blue Yellow Yellow Yellow Green Green Green\nGreen Green Green Blue Blue Blue Yellow Yellow Yellow Green Green Green\nYellow Yellow Yellow Green Green Green Red Red Red Blue Blue Blue\nYellow Yellow Yellow Green Green Green Red Red Red Blue Blue Blue\nYellow Yellow Yellow Green Green Green Red Red Red Blue Blue Blue\n\n\nExample 3\nInput:\nRed Red Red Green Green Green Red Red Red Green Green Green\nRed Red Red Green Green Green Red Red Red Green Green Green\nRed Red Red Green Green Green Red Red Red Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green\nGreen Green Green Green Green Green Red Red Red Red Red Red\nGreen Green Green Green Green Green Red Red Red Red Red Red\nGreen Green Green Green Green Green Red Red Red Red Red Red\n\nOutput:\nBlue Blue Blue Green Green Green Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Green Green Green Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Green Green Green Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Green Green Green Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Green Green Green Red Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Green Green Green Red Red Red Yellow Yellow Yellow\nBlue Blue Blue Green Green Green Red Red Red Blue Blue Blue\nBlue Blue Blue Green Green Green Red Red Red Blue Blue Blue\nBlue Blue Blue Green Green Green Red Red Red Blue Blue Blue\nYellow Yellow Yellow Green Green Green Red Red Red Blue Blue Blue\nYellow Yellow Yellow Green Green Green Red Red Red Blue Blue Blue\nYellow Yellow Yellow Green Green Green Red Red Red Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Green Green Green Red Red Red Red Red Red\nBlue Blue Blue Green Green Green Red Red Red Red Red Red\nBlue Blue Blue Green Green Green Red Red Red Red Red Red\nYellow Yellow Yellow Blue Blue Blue Red Red Red Red Red Red\nYellow Yellow Yellow Blue Blue Blue Red Red Red Red Red Red\nYellow Yellow Yellow Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Yellow Yellow Yellow Red Red Red Green Green Green\nRed Red Red Yellow Yellow Yellow Red Red Red Green Green Green\nRed Red Red Yellow Yellow Yellow Red Red Red Green Green Green\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nBlue Blue Blue Red Red Red Green Green Green Yellow Yellow Yellow\nBlue Blue Blue Red Red Red Green Green Green Yellow Yellow Yellow\nBlue Blue Blue Red Red Red Green Green Green Yellow Yellow Yellow\nRed Red Red Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Blue Purple Purple Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Gray Green Black Black Black Black Black\nBlack Black Black Black Black Gray Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Red Red Black\nBlack Black Black Black Blue Blue Blue Black Red Red Red Red\nOrange Orange Brown Black Black Black Black Black Yellow Red Red Yellow\nBrown Orange Brown Black Black Black Black Black Yellow Red Red Yellow\nBrown Orange Brown Black Black Black Black Black Black Orange Orange Black\nOrange Orange Brown Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Red Orange Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Orange Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Orange Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Purple Black\nBlack Black Black Black Black Black Orange Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Blue Blue Green Black Black Black Black Black Black\nBlack Black Black Black Black Gray Blue Blue Gray Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Yellow Red Orange Red Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Red Brown Red Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Green Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Brown Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Green Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Green Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Brown Pink Brown Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Pink Gray Pink Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Brown Pink Brown Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Green Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Green Purple Black Black Black Black Black\nBlack Black Green Green Black Black Pink Blue Blue Pink\nBlack Black Green Black Black Black Purple Gray Gray Purple\nBlack Black Green Black Black Black Red Gray Gray Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Brown Gray Black Black Black Black Black Black\nBlack Gray Blue Gray Black Black Pink Black Pink Black\nBlack Gray Blue Gray Black Black Pink Blue Pink Black\nBlack Gray Black Gray Black Black Red Red Red Black\nBlack Gray Black Gray Black Black Black Red Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Green Green Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Green Green Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Brown Brown Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Brown Brown Black Black Black Black Green Green Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Red Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Red Red Black Black Black Black Black Black\n\n\nExample 3\nInput:\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 Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Green Green Black Black Orange Orange\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Green Green Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Orange Orange\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Gray Gray Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Gray Gray Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Brown Purple Brown Black Black Black\nBlack Black Black Black Black Gray Black Red Black Black\nBlack Black Black Brown Brown Green Brown Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Brown Purple Brown Yellow Black Black\nBlack Black Black Red Black Gray Black Red Black Black\nBlack Black Black Brown Brown Green Brown Brown Black Black\nBlack Black Black Brown Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Red Red Black Black Black Black Black Black\nBlack Pink Black Black Gray Pink Black Black Black Black\nBlack Black Black Blue Gray Pink Black Black Black Black\nBlack Red Orange Red Black Red Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Red Red Red Orange Black Black Black Black\nBlack Pink Gray Black Gray Pink Black Black Black Black\nBlack Pink Gray Blue Gray Pink Black Black Black Black\nBlack Red Orange Red Orange Red Black Black Black Black\nBlack Red Black Black Black Red Black Black Black Black\n\n\nExample 3\nInput:\nBlack Purple Black Black Blue Black Black Black Black Black\nBlack Purple Purple Gray Purple Black Black Black Black Black\nBlack Blue Blue Green Blue Black Black Black Black Black\nBlack Black Black Green Black Yellow Black Black Black Black\nBlack Black Pink Brown Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Purple Blue Black Blue Purple Black Black Black Black\nBlack Purple Purple Gray Purple Purple Black Black Black Black\nBlack Blue Blue Green Blue Blue Black Black Black Black\nBlack Yellow Black Green Black Yellow Black Black Black Black\nBlack Black Pink Brown Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Red Black Red Black\nBlack Black Black Black Black Black Black Black Red Yellow\nBlack Black Black Black Black Gray Blue Black Blue Gray\nBlack Black Black Black Black Red Purple Black Black Red\nBlack Black Black Black Black Black Purple Black Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Red Black Red Yellow\nBlack Black Black Black Black Yellow Red Black Red Yellow\nBlack Black Black Black Black Gray Blue Black Blue Gray\nBlack Black Black Black Black Red Purple Black Purple Red\nBlack Black Black Black Black Purple Purple Black Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Yellow Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Green Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Green Black Black Black Green Black Black\n\nOutput:\nGreen Black Black Black Black Black Black Orange Black Black Black Black\nBlack Orange Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Green Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Green Black Black Black Green Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Green Black Black Yellow Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Yellow Black Black Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Green Black Black Orange Black Black Black Black Black\nBlack Orange Black Orange Black Black Black Black Black Black\nBlack Black Orange Black Black Orange Black Black Orange Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Green Black Green Black Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Yellow Black Black\nBlack Black Black Black Green Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Green Yellow Black\nBlack Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Yellow Black Black Black Black Black Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Blue Black Blue Black Black Black Black Black Black\nBlue Black Black Black Black Blue Black Black Yellow Black Black\nBlack Black Black Black Blue Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Blue Yellow Black\nBlack Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Yellow Black Black Black Black Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Green Black Yellow Green Black Black Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Green Black Green Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green 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 Green Black Orange Green Black Black Orange\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOrange Green Black Green Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black\nBlack Blue Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black\nBlack Pink Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black\nBlack Black Black Brown Black Black\nBlack Blue Black Brown Black Black\nBlack Blue Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Blue Blue Blue Black\nBlack Black Black Blue Black Black\nBlack Yellow Black Blue Black Black\nBlack Yellow Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Orange Orange Black Black Black\nBlack Pink Pink Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Pink Pink Black Black Black\nBlack Orange Orange Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Black Black\nBlack Black Brown Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Brown Brown Black Black\nBlack Black Orange Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Orange Orange Black\nBlack Black Blue Black Black\nBlack Black Blue Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Blue Black Black\nBlack Black Blue Black Black\nBlack Black Orange Orange Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Yellow Black Black\nBlack Black Black Pink Black Black\nBlack Black Black Pink Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Pink Black Black\nBlack Black Black Pink Black Black\nBlack Black Black Yellow Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black\nBlack Blue Blue Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Blue Blue Black\nBlack Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Red Blue Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Red Red Red Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Red Red Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Black Black Red Red Black Black\nBlack Black Black Yellow Black Black Black\nBlack Red Red Red Black Black Black\nBlack Red Black Black Black Black Black\nBlack Red Blue Black Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Purple Purple Green Green Black Black Black Black Red Red Yellow Yellow Orange Orange Black Black Black Black\nBrown Brown Purple Purple Green Green Black Black Black Black Red Red Yellow Yellow Orange Orange Black Black Black Black\nGreen Green Yellow Yellow Pink Pink Black Black Black Black Orange Orange Brown Brown Purple Purple Black Black Black Black\nGreen Green Yellow Yellow Pink Pink Black Black Black Black Orange Orange Brown Brown Purple Purple Black Black Black Black\nPink Pink Red Red Purple Purple Black Black Black Black Yellow Yellow Gray Gray Pink Pink Black Black Black Black\nPink Pink Red Red Purple Purple Black Black Black Black Yellow Yellow Gray Gray Pink Pink Black Black Black Black\nGray Gray Green Green Orange Orange Black Black Black Black Gray Gray Gray Gray Red Red Black Black Black Black\nGray Gray Green Green Orange Orange Black Black Black Black Gray Gray Gray Gray Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Brown Brown Brown Brown Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Brown Brown Brown Brown Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Blue Blue Purple Purple Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Blue Blue Purple Purple Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Brown Brown Yellow Yellow Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Brown Brown Yellow Yellow Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Purple Purple Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Purple Purple Yellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Brown Brown Gray Gray Gray Gray Black Black Black Black Orange Orange Red Red Blue Blue Black Black\nPink Pink Brown Brown Gray Gray Gray Gray Black Black Black Black Orange Orange Red Red Blue Blue Black Black\nBlue Blue Orange Orange Pink Pink Gray Gray Black Black Black Black Brown Brown Purple Purple Pink Pink Black Black\nBlue Blue Orange Orange Pink Pink Gray Gray Black Black Black Black Brown Brown Purple Purple Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Green Green Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Green Green Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Red Red Black Black\nRed Red Yellow Yellow Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Pink Pink Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Pink Pink Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Red Red Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Red Red Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPurple Purple Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Brown Brown Purple Purple Black Black Black Black Black Black Green Green Brown Brown Orange Orange Gray Gray\nPink Pink Brown Brown Purple Purple Black Black Black Black Black Black Green Green Brown Brown Orange Orange Gray Gray\nBrown Brown Gray Gray Pink Pink Black Black Black Black Black Black Brown Brown Green Green Yellow Yellow Yellow Yellow\nBrown Brown Gray Gray Pink Pink Black Black Black Black Black Black Brown Brown Green Green Yellow Yellow Yellow Yellow\nPurple Purple Brown Brown Pink Pink Black Black Black Black Black Black Purple Purple Pink Pink Yellow Yellow Pink Pink\nPurple Purple Brown Brown Pink Pink Black Black Black Black Black Black Purple Purple Pink Pink Yellow Yellow Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Brown Brown Black Black Black Black Black Black Yellow Yellow Gray Gray Yellow Yellow\nBlack Black Black Black Purple Purple Brown Brown Black Black Black Black Black Black Yellow Yellow Gray Gray Yellow Yellow\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Blue Blue Yellow Yellow Orange Orange\nBlack Black Black Black Brown Brown Blue Blue Black Black Black Black Black Black Green Green Yellow Yellow Gray Gray\nBlack Black Black Black Brown Brown Blue Blue Black Black Black Black Black Black Green Green Yellow Yellow Gray Gray\nBlack Black Black Black Red Red Orange Orange Black Black Black Black Black Black Gray Gray Red Red Blue Blue\nBlack Black Black Black Red Red Orange Orange Black Black Black Black Black Black Gray Gray Red Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray Gray Pink Pink Yellow Yellow Black Black Pink Pink Orange Orange Gray Gray Green Green Black Black\nBlack Black Gray Gray Pink Pink Yellow Yellow Black Black Pink Pink Orange Orange Gray Gray Green Green Black Black\nBlack Black Orange Orange Pink Pink Pink Pink Black Black Gray Gray Pink Pink Pink Pink Blue Blue Black Black\nBlack Black Orange Orange Pink Pink Pink Pink Black Black Gray Gray Pink Pink Pink Pink Blue Blue Black Black\nBlack Black Brown Brown Red Red Yellow Yellow Black Black Pink Pink Green Green Red Red Gray Gray Black Black\nBlack Black Brown Brown Red Red Yellow Yellow Black Black Pink Pink Green Green Red Red Gray Gray Black Black\nBlack Black Red Red Brown Brown Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Brown Brown Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Blue Blue Green Green Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Blue Blue Green Green Orange Orange Black Black\nBlue Blue Purple Purple Yellow Yellow Yellow Yellow Black Black Purple Purple Blue Blue Brown Brown Blue Blue Black Black\nBlue Blue Purple Purple Yellow Yellow Yellow Yellow Black Black Purple Purple Blue Blue Brown Brown Blue Blue Black Black\nGray Gray Brown Brown Gray Gray Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Brown Brown Gray Gray Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Yellow Yellow Brown Brown Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Yellow Yellow Brown Brown Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Gray Gray Black Black Yellow Yellow Blue Blue Gray Gray Green Green\nBlack Black Black Black Black Black Red Red Gray Gray Black Black Yellow Yellow Blue Blue Gray Gray Green Green\nBlack Black Black Black Black Black Brown Brown Purple Purple Black Black Green Green Blue Blue Orange Orange Green Green\nBlack Black Black Black Black Black Brown Brown Purple Purple Black Black Green Green Blue Blue Orange Orange Green Green\nBlack Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Brown Brown Blue Blue Blue Blue\nBlack Black Black Black Brown Brown Purple Purple Green Green Black Black Gray Gray Yellow Yellow Brown Brown Red Red\nBlack Black Black Black Brown Brown Purple Purple Green Green Black Black Gray Gray Yellow Yellow Brown Brown Red Red\nBlack Black Black Black Gray Gray Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Purple Purple Green Green Black Black Pink Pink Purple Purple Blue Blue Black Black\nBlack Black Black Black Pink Pink Purple Purple Green Green Black Black Pink Pink Purple Purple Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Pink Pink Black Black\n\nOutput:\nBlack Black Red Red Red Red Black Black Green Green Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Green Green Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Orange Orange Black Black Green Green Brown Brown Black Black Green Green Brown Brown Yellow Yellow\nBlack Black Gray Gray Orange Orange Black Black Green Green Brown Brown Black Black Green Green Brown Brown Yellow Yellow\nBlack Black Green Green Green Green Black Black Brown Brown Pink Pink Black Black Purple Purple Pink Pink Gray Gray\nBlack Black Green Green Green Green Black Black Brown Brown Pink Pink Black Black Purple Purple Pink Pink Gray Gray\nBlack Black Pink Pink Red Red Black Black Red Red Gray Gray Black Black Yellow Yellow Brown Brown Pink Pink\nBlack Black Pink Pink Red Red Black Black Red Red Gray Gray Black Black Yellow Yellow Brown Brown Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Gray Gray Purple Purple Blue Blue Black Black Red Red Yellow Yellow Red Red Black Black Black Black\nYellow Yellow Gray Gray Purple Purple Blue Blue Black Black Red Red Yellow Yellow Red Red Black Black Black Black\nYellow Yellow Blue Blue Brown Brown Red Red Black Black Purple Purple Gray Gray Purple Purple Black Black Black Black\nYellow Yellow Blue Blue Brown Brown Red Red Black Black Purple Purple Gray Gray Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Gray Gray Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Green Green Black Black Black Black Green Green Red Red Black Black\nBlack Black Black Black Green Green Red Red Green Green Black Black Black Black Green Green Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black\nBlack Black Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Yellow Yellow Pink Pink Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Gray Gray Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Red Red Black Black Yellow Yellow Brown Brown Green Green Black Black\nBlack Black Black Black Black Black Brown Brown Red Red Black Black Yellow Yellow Brown Brown Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Orange Pink Yellow Pink Black Black Black Black Black\nBrown Purple Gray Pink Orange Black Black Black Black Black\nBrown Green Green Orange Orange Black Black Black Black Black\nBrown Orange Gray Orange Blue Black Black Black Black Black\n\nOutput:\nPurple Orange Pink Yellow Pink Orange Blue Orange Pink Brown\nBrown Purple Gray Pink Orange Pink Orange Gray Brown Purple\nBrown Green Green Orange Orange Pink Pink Red Red Purple\nBrown Orange Gray Orange Blue Yellow Pink Gray Pink Purple\n\n\nExample 2\nInput:\nOrange Yellow Blue Red Black Black Black Black\nGreen Pink Blue Gray Black Black Black Black\nRed Orange Brown Blue Black Black Black Black\nPurple Brown Gray Brown Black Black Black Black\nBrown Purple Purple Brown Black Black Black Black\n\nOutput:\nOrange Yellow Blue Red Green Yellow Blue Pink\nGreen Pink Blue Gray Gray Yellow Orange Red\nRed Orange Brown Blue Yellow Purple Pink Green\nPurple Brown Gray Brown Purple Gray Purple Brown\nBrown Purple Purple Brown Purple Brown Brown Purple\n\n\nExample 3\nInput:\nGray Brown Yellow Yellow Black Black Black Black\nRed Green Blue Orange Black Black Black Black\nPurple Pink Orange Gray Black Black Black Black\nPink Blue Purple Yellow Black Black Black Black\nOrange Green Purple Blue Black Black Black Black\n\nOutput:\nGray Brown Yellow Yellow Blue Blue Purple Gray\nRed Green Blue Orange Pink Yellow Red Green\nPurple Pink Orange Gray Gray Pink Orange Brown\nPink Blue Purple Yellow Blue Brown Yellow Orange\nOrange Green Purple Blue Yellow Brown Red Pink\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Green Black Black Black\nPink Brown Gray Black Black Black\nBrown Blue Pink Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Gray Green Red Gray Orange\nPink Brown Gray Gray Purple Orange\nBrown Blue Pink Orange Yellow Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Brown Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nGreen Green Yellow Yellow Red Red Yellow Yellow Green Green\nGreen Green Yellow Yellow Red Red Yellow Yellow Green Green\nGreen Green Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Green Green\n\nOutput:\nGreen Green Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Green Green\nGreen Green Yellow Yellow Red Red Yellow Yellow Green Green\nGreen Green Yellow Yellow Red Red Yellow Yellow Green Green\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nGreen Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nGreen Green Yellow Yellow Red Red Yellow Yellow Green Green\nGreen Green Yellow Yellow Red Red Yellow Yellow Green Green\nGreen Green Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Black Black Green Green\n\n\nExample 2\nInput:\nBrown Brown Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nRed Red Brown Brown Brown Brown Red Red\nRed Red Brown Brown Brown Brown Red Red\nYellow Yellow Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Yellow Yellow\nBlack Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black\n\nOutput:\nBlack Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black\nYellow Yellow Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Yellow Yellow\nRed Red Brown Brown Brown Brown Red Red\nRed Red Brown Brown Brown Brown Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nRed Red Brown Brown Brown Brown Red Red\nRed Red Brown Brown Brown Brown Red Red\nYellow Yellow Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Yellow Yellow\nBlack Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black\n\n\nExample 3\nInput:\nRed Red Black Black Black Black Black Black Red Red\nRed Red Black Black Black Black Black Black Red Red\nRed Red Orange Orange Red Red Orange Orange Red Red\nRed Red Orange Orange Red Red Orange Orange Red Red\nPink Pink Gray Gray Blue Blue Gray Gray Pink Pink\nPink Pink Gray Gray Blue Blue Gray Gray Pink Pink\nPink Pink Gray Gray Red Red Gray Gray Pink Pink\nPink Pink Gray Gray Red Red Gray Gray Pink Pink\nOrange Orange Red Red Red Red Red Red Orange Orange\nOrange Orange Red Red Red Red Red Red Orange Orange\n\nOutput:\nOrange Orange Red Red Red Red Red Red Orange Orange\nOrange Orange Red Red Red Red Red Red Orange Orange\nPink Pink Gray Gray Red Red Gray Gray Pink Pink\nPink Pink Gray Gray Red Red Gray Gray Pink Pink\nPink Pink Gray Gray Blue Blue Gray Gray Pink Pink\nPink Pink Gray Gray Blue Blue Gray Gray Pink Pink\nRed Red Orange Orange Red Red Orange Orange Red Red\nRed Red Orange Orange Red Red Orange Orange Red Red\nRed Red Black Black Black Black Black Black Red Red\nRed Red Black Black Black Black Black Black Red Red\nRed Red Black Black Black Black Black Black Red Red\nRed Red Black Black Black Black Black Black Red Red\nRed Red Orange Orange Red Red Orange Orange Red Red\nRed Red Orange Orange Red Red Orange Orange Red Red\nPink Pink Gray Gray Blue Blue Gray Gray Pink Pink\nPink Pink Gray Gray Blue Blue Gray Gray Pink Pink\nPink Pink Gray Gray Red Red Gray Gray Pink Pink\nPink Pink Gray Gray Red Red Gray Gray Pink Pink\nOrange Orange Red Red Red Red Red Red Orange Orange\nOrange Orange Red Red Red Red Red Red Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue\nBlue Blue Black Black Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Black Black Blue Blue\nBlue Blue Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nYellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Black Black Blue Blue\nBlue Blue Black Black Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black\nBlack Green Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black\nBlack Purple Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black\nBlack Orange Red Black Black Yellow Black Yellow\nOrange Yellow Orange Yellow Black Black Red Black\nBlack Orange Black Black Black Yellow Black Yellow\nOrange Green Orange Black Black Black Black Black\nBlack Orange Black Black Yellow Black Yellow Black\nYellow Purple Yellow Black Black Red Black Black\nBlack Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Black Orange Black Black\nBlack Black Black Black Orange Green Orange Black\nBlack Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Pink Black Black Red Black Black Black Black Black\nBlack Green Black Green Black Black Black Black Black Black\nBlack Black Orange Black Black Blue Black Black Red Black\n\nOutput:\nOrange Black Black Black Black Black Black Black Black Black\nGreen Orange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Blue Yellow Black Yellow Black Black Black Black\nBlack Orange Black Orange Red Black Black Black Black Black\nOrange Green Orange Yellow Orange Yellow Black Yellow Black Yellow\nBlack Orange Orange Orange Black Blue Black Black Red Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Orange Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Orange Black\nBlack Yellow Black Black Orange Black Black Black Orange Green Orange\nBlack Yellow Black Black Black Black Black Black Black Orange Black\nRed Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\nGreen Black Black Orange Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black\nOrange Black Black Black Black Yellow Black Yellow Black\nGreen Yellow Black Orange Black Black Red Black Black\nOrange Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Orange Green Orange Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Red Red Green Green Red Red Green Green Green Green\nBlack Red Red Green Green Red Red Green Green Green Green\nBlack Red Red Green Green Red Red Red Red Red Red\nBlack Red Red Green Green Red Red Red Red Red Red\nBlack Green Green Green Green Red Red Red Red Green Green\nBlack Green Green Green Green Red Red Red Red Green Green\nBlack Red Red Red Red Red Red Green Green Green Green\nBlack Red Red Red Red Red Red Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Blue Blue Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nBlack Blue Blue Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nBlack Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlack Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow\nBlack Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlack Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Red Red\nGreen Green Green Green Green Green Red Red\nGreen Green Red Red Red Red Green Green\nGreen Green Red Red Red Red Green Green\nGreen Green Red Red Green Green Red Red\nGreen Green Red Red Green Green Red Red\nRed Red Green Green Red Red Green Green\nRed Red Green Green Red Red Green Green\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Yellow Yellow Blue Blue\nBlue Blue Yellow Yellow Blue Blue Yellow Yellow\nBlue Blue Yellow Yellow Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Green Red Red Green Green Red Red\nGreen Green Red Red Green Green Red Red\nRed Red Red Red Green Green Green Green\nRed Red Red Red Green Green Green Green\nRed Red Red Red Green Green Green Green\nRed Red Red Red Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Red Red Red Red\nGreen Green Green Green Red Red Red Red\n\nOutput:\nYellow Yellow Blue Blue Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Yellow Yellow Blue Blue\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Green Green Red Red Green Green\nRed Red Red Red Green Green Red Red Green Green\nGreen Green Green Green Red Red Green Green Green Green\nGreen Green Green Green Red Red Green Green Green Green\nRed Red Green Green Red Red Green Green Red Red\nRed Red Green Green Red Red Green Green Red Red\nGreen Green Red Red Red Red Red Red Green Green\nGreen Green Red Red Red Red Red Red Green Green\nGreen Green Green Green Green Green Red Red Red Red\nGreen Green Green Green Green Green Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow\nBlue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow\nYellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue\nBlue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Orange Orange Orange\nBlue Orange Red Purple Gray\nYellow Yellow Brown Purple Red\nYellow Yellow Pink Green Green\nGreen Green Green Blue Purple\n\nOutput:\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nRed Pink Blue Red Yellow\nBrown Purple Pink Yellow Gray\nBlue Red Green Green Blue\nBrown Blue Green Green Gray\nPink Orange Red Orange Yellow\n\nOutput:\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\n\n\nExample 3\nInput:\nPurple Green Green Orange Blue\nPink Green Green Red Gray\nOrange Brown Yellow Orange Gray\nRed Orange Blue Red Brown\nRed Brown Purple Pink Yellow\n\nOutput:\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nOrange Blue Brown Pink Orange\nPink Blue Blue Gray Gray\nOrange Orange Pink Gray Gray\nBlue Pink Yellow Green Pink\nYellow Brown Green Orange Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Orange Blue Black Yellow Black Black Black Orange Black Black Purple\nBlack Black Black Black Black Black Yellow Black Orange Black Black Black Black\nBlack Purple Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Brown Red Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Pink Pink Black\nPurple Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Orange Black Brown Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Red Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Blue Black Yellow Black Black Brown Black Black Blue Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black\nBlack Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Black Black\nBlack Red Pink Pink Black Black Black\nBlack Yellow Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Orange Black Black Black Black Brown Brown Black Black\nBlack Blue Pink Black Yellow Black Black Black Black Black Purple Black\nPurple Black Purple Black Blue Black Black Black Gray Pink Black Black\nPurple Purple Purple Black Yellow Black Black Black Black Black Black Black\nPurple Black Purple Red Black Black Black Black Black Black Green Pink\nBlack Black Black Black Black Black Black Brown Black Black Green Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Pink Green Black Black Black Black Black\nBlue Pink Orange Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlue Black Brown Black Green Black Pink Black Black Black Gray Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Blue Pink Black Black\nBlack Purple Black Purple Black Black\nBlack Purple Purple Purple Black Black\nBlack Purple Black Purple Red Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nRed Black Blue Black Black Black Black Black Yellow Black Black Black Black Brown\nBlack Black Black Orange Black Black Black Black Black Red Black Brown Black Black\nBlack Black Black Black Black Black Black Orange Black Red Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Red Red Red Black Gray Black\nBlack Gray Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Brown Yellow Green Yellow Black Black Black Black Brown Yellow Gray Black\nBlack Black Black Black Pink Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Red Black Gray Black Pink Black Black Pink Black Black Black\nPurple Black Black Black Black Black Black Black Pink Black Pink Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Gray Black Blue Blue\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Red Black Black Black\nBlack Black Red Black Black Black\nBlack Red Red Red Black Black\nBlack Black Green Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Gray Gray Black Black Orange Black Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Blue Blue Blue Blue\nBlack Black Green Black Green Black Black Purple Black Black Black Blue Blue Blue\nBlack Brown Black Black Black Black Black Yellow Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Gray Black Pink Black Black Black Green Black\nBlack Black Black Black Black Black Black Yellow Black Purple Black Black Black Purple\nBlack Purple Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Red Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Black Orange Black Purple Black Black\nBlack Purple Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black\nBlack Green Green Green Green Black Green Black\nBlack Black Black Black Green Green Green Black\nBlack Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Green Black Green Black Black\nBlack Black Green Black Green Black Black\nBlack Black Green Green Green Black Black\nBlack Black Green Green Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Black Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Green Green Green Green Green Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Green Green Yellow Yellow Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Green Green Yellow Yellow Green Green Green Green Green Green Green Green\nGreen Green Yellow Yellow Blue Blue Red Red Green Green Green Green Green Green Green Green\nGreen Green Yellow Yellow Blue Blue Red Red Green Green Green Green Green Green Green Green\nGreen Green Blue Blue Blue Blue Yellow Yellow Red Red Yellow Yellow Green Green Yellow Yellow\nGreen Green Blue Blue Blue Blue Yellow Yellow Red Red Yellow Yellow Green Green Yellow Yellow\nRed Red Blue Blue Red Red Blue Blue Blue Blue Green Green Blue Blue Blue Blue\nRed Red Blue Blue Red Red Blue Blue Blue Blue Green Green Blue Blue Blue Blue\nBlue Blue Red Red Green Green Red Red Green Green Blue Blue Yellow Yellow Red Red\nBlue Blue Red Red Green Green Red Red Green Green Blue Blue Yellow Yellow Red Red\nGreen Green Yellow Yellow Yellow Yellow Green Green Red Red Green Green Red Red Green Green\nGreen Green Yellow Yellow Yellow Yellow Green Green Red Red Green Green Red Red Green Green\nGreen Green Blue Blue Green Green Green Green Red Red Yellow Yellow Blue Blue Blue Blue\nGreen Green Blue Blue Green Green Green Green Red Red Yellow Yellow Blue Blue Blue Blue\nRed Red Green Green Green Green Green Green Blue Blue Green Green Green Green Blue Blue\nRed Red Green Green Green Green Green Green Blue Blue Green Green Green Green Blue Blue\n\nOutput:\nYellow Yellow Yellow Yellow Green Green Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Green Green Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Yellow Yellow Purple Purple Red Red Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Yellow Yellow Purple Purple Red Red Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Yellow Yellow Red Red Yellow Yellow Purple Purple Yellow Yellow\nPurple Purple Purple Purple Purple Purple Yellow Yellow Red Red Yellow Yellow Purple Purple Yellow Yellow\nRed Red Purple Purple Red Red Purple Purple Purple Purple Green Green Purple Purple Purple Purple\nRed Red Purple Purple Red Red Purple Purple Purple Purple Green Green Purple Purple Purple Purple\nBlue Blue Red Red Green Green Red Red Green Green Blue Blue Yellow Yellow Red Red\nBlue Blue Red Red Green Green Red Red Green Green Blue Blue Yellow Yellow Red Red\nPurple Purple Yellow Yellow Yellow Yellow Purple Purple Orange Orange Green Green Red Red Green Green\nPurple Purple Yellow Yellow Yellow Yellow Purple Purple Orange Orange Green Green Red Red Green Green\nPurple Purple Blue Blue Purple Purple Purple Purple Orange Orange Yellow Yellow Purple Purple Purple Purple\nPurple Purple Blue Blue Purple Purple Purple Purple Orange Orange Yellow Yellow Purple Purple Purple Purple\nRed Red Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple\nRed Red Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nGreen Green Yellow Yellow Green Green Green Green Green Green Yellow Yellow Blue Blue\nGreen Green Yellow Yellow Green Green Green Green Green Green Yellow Yellow Blue Blue\nGreen Green Green Green Green Green Blue Blue Red Red Green Green Red Red\nGreen Green Green Green Green Green Blue Blue Red Red Green Green Red Red\nGreen Green Blue Blue Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Blue Blue Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Red Red Red Red Green Green Green Green Red Red Red Red\nYellow Yellow Red Red Red Red Green Green Green Green Red Red Red Red\nRed Red Red Red Yellow Yellow Red Red Yellow Yellow Blue Blue Blue Blue\nRed Red Red Red Yellow Yellow Red Red Yellow Yellow Blue Blue Blue Blue\nRed Red Blue Blue Green Green Red Red Blue Blue Red Red Red Red\nRed Red Blue Blue Green Green Red Red Blue Blue Red Red Red Red\nBlue Blue Green Green Blue Blue Green Green Yellow Yellow Red Red Yellow Yellow\nBlue Blue Green Green Blue Blue Green Green Yellow Yellow Red Red Yellow Yellow\n\nOutput:\nPurple Purple Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Blue Blue\nPurple Purple Yellow Yellow Purple Purple Purple Purple Purple Purple Yellow Yellow Blue Blue\nPurple Purple Purple Purple Purple Purple Blue Blue Red Red Green Green Red Red\nPurple Purple Purple Purple Purple Purple Blue Blue Red Red Green Green Red Red\nPurple Purple Blue Blue Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Blue Blue Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Orange Orange Orange Orange Purple Purple Purple Purple Orange Orange Orange Orange\nYellow Yellow Orange Orange Orange Orange Purple Purple Purple Purple Orange Orange Orange Orange\nOrange Orange Orange Orange Yellow Yellow Orange Orange Yellow Yellow Purple Purple Purple Purple\nOrange Orange Orange Orange Yellow Yellow Orange Orange Yellow Yellow Purple Purple Purple Purple\nOrange Orange Blue Blue Green Green Orange Orange Blue Blue Orange Orange Orange Orange\nOrange Orange Blue Blue Green Green Orange Orange Blue Blue Orange Orange Orange Orange\nBlue Blue Green Green Blue Blue Green Green Yellow Yellow Orange Orange Yellow Yellow\nBlue Blue Green Green Blue Blue Green Green Yellow Yellow Orange Orange Yellow Yellow\n\n\nExample 3\nInput:\nYellow Yellow Red Red Red Red Blue Blue Red Red Yellow Yellow Green Green Blue Blue Yellow Yellow\nYellow Yellow Red Red Red Red Blue Blue Red Red Yellow Yellow Green Green Blue Blue Yellow Yellow\nBlue Blue Yellow Yellow Red Red Green Green Blue Blue Green Green Blue Blue Blue Blue Yellow Yellow\nBlue Blue Yellow Yellow Red Red Green Green Blue Blue Green Green Blue Blue Blue Blue Yellow Yellow\nBlue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Red Red Yellow Yellow Green Green Green Green\nBlue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Red Red Yellow Yellow Green Green Green Green\nRed Red Blue Blue Yellow Yellow Red Red Red Red Yellow Yellow Green Green Red Red Green Green\nRed Red Blue Blue Yellow Yellow Red Red Red Red Yellow Yellow Green Green Red Red Green Green\nGreen Green Green Green Yellow Yellow Yellow Yellow Blue Blue Red Red Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Yellow Yellow Yellow Yellow Blue Blue Red Red Blue Blue Blue Blue Blue Blue\nRed Red Green Green Yellow Yellow Blue Blue Yellow Yellow Green Green Red Red Green Green Red Red\nRed Red Green Green Yellow Yellow Blue Blue Yellow Yellow Green Green Red Red Green Green Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Green Green Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Green Green Yellow Yellow Yellow Yellow Yellow Yellow Red Red\n\nOutput:\nYellow Yellow Orange Orange Orange Orange Blue Blue Red Red Yellow Yellow Green Green Purple Purple Yellow Yellow\nYellow Yellow Orange Orange Orange Orange Blue Blue Red Red Yellow Yellow Green Green Purple Purple Yellow Yellow\nPurple Purple Yellow Yellow Orange Orange Green Green Purple Purple Green Green Purple Purple Purple Purple Yellow Yellow\nPurple Purple Yellow Yellow Orange Orange Green Green Purple Purple Green Green Purple Purple Purple Purple Yellow Yellow\nPurple Purple Yellow Yellow Blue Blue Yellow Yellow Purple Purple Red Red Yellow Yellow Purple Purple Purple Purple\nPurple Purple Yellow Yellow Blue Blue Yellow Yellow Purple Purple Red Red Yellow Yellow Purple Purple Purple Purple\nRed Red Blue Blue Yellow Yellow Orange Orange Orange Orange Yellow Yellow Green Green Red Red Purple Purple\nRed Red Blue Blue Yellow Yellow Orange Orange Orange Orange Yellow Yellow Green Green Red Red Purple Purple\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Blue Blue Red Red Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Blue Blue Red Red Purple Purple Purple Purple Purple Purple\nRed Red Purple Purple Yellow Yellow Purple Purple Yellow Yellow Green Green Red Red Green Green Orange Orange\nRed Red Purple Purple Yellow Yellow Purple Purple Yellow Yellow Green Green Red Red Green Green Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Green Green Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Green Green Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nBlue Blue Yellow Yellow Blue Blue Green Green Red Red Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nGreen Green Yellow Yellow Red Red Green Green Red Red Green Green Red Red Blue Blue Blue Blue\nGreen Green Yellow Yellow Red Red Green Green Red Red Green Green Red Red Blue Blue Blue Blue\nGreen Green Red Red Green Green Green Green Yellow Yellow Yellow Yellow Green Green Red Red Green Green\nGreen Green Red Red Green Green Green Green Yellow Yellow Yellow Yellow Green Green Red Red Green Green\nYellow Yellow Yellow Yellow Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red\nYellow Yellow Yellow Yellow Blue Blue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Red Red\nBlue Blue Red Red Red Red Yellow Yellow Yellow Yellow Blue Blue Blue Blue Green Green Green Green\nBlue Blue Red Red Red Red Yellow Yellow Yellow Yellow Blue Blue Blue Blue Green Green Green Green\nRed Red Yellow Yellow Yellow Yellow Green Green Red Red Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nRed Red Yellow Yellow Yellow Yellow Green Green Red Red Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nBlue Blue Green Green Blue Blue Yellow Yellow Red Red Yellow Yellow Red Red Blue Blue Red Red\nBlue Blue Green Green Blue Blue Yellow Yellow Red Red Yellow Yellow Red Red Blue Blue Red Red\nBlue Blue Yellow Yellow Red Red Blue Blue Red Red Red Red Green Green Yellow Yellow Red Red\nBlue Blue Yellow Yellow Red Red Blue Blue Red Red Red Red Green Green Yellow Yellow Red Red\nRed Red Yellow Yellow Blue Blue Green Green Red Red Blue Blue Red Red Blue Blue Blue Blue\nRed Red Yellow Yellow Blue Blue Green Green Red Red Blue Blue Red Red Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Yellow Yellow Blue Blue Purple Purple Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nBlue Blue Yellow Yellow Blue Blue Purple Purple Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nPurple Purple Yellow Yellow Red Red Purple Purple Orange Orange Green Green Red Red Purple Purple Purple Purple\nPurple Purple Yellow Yellow Red Red Purple Purple Orange Orange Green Green Red Red Purple Purple Purple Purple\nPurple Purple Red Red Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Green Red Red Green Green\nPurple Purple Red Red Purple Purple Purple Purple Yellow Yellow Yellow Yellow Green Green Red Red Green Green\nYellow Yellow Yellow Yellow Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Red Red\nYellow Yellow Yellow Yellow Blue Blue Red Red Purple Purple Purple Purple Purple Purple Purple Purple Red Red\nBlue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Yellow Yellow Yellow Yellow Green Green Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nRed Red Yellow Yellow Yellow Yellow Green Green Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPurple Purple Green Green Blue Blue Yellow Yellow Orange Orange Yellow Yellow Red Red Purple Purple Orange Orange\nPurple Purple Green Green Blue Blue Yellow Yellow Orange Orange Yellow Yellow Red Red Purple Purple Orange Orange\nPurple Purple Yellow Yellow Red Red Blue Blue Orange Orange Orange Orange Green Green Yellow Yellow Orange Orange\nPurple Purple Yellow Yellow Red Red Blue Blue Orange Orange Orange Orange Green Green Yellow Yellow Orange Orange\nRed Red Yellow Yellow Blue Blue Green Green Orange Orange Blue Blue Red Red Purple Purple Purple Purple\nRed Red Yellow Yellow Blue Blue Green Green Orange Orange Blue Blue Red Red Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple\n\nOutput:\nGray Purple Brown Pink Purple Pink Orange Purple\nGray Purple Brown Pink Purple Pink Orange Purple\nGray Purple Brown Pink Purple Pink Orange Purple\nGray Purple Brown Pink Purple Pink Orange Purple\nGray Purple Brown Pink Purple Pink Orange Purple\nGray Purple Brown Pink Purple Pink Orange Purple\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Blue Gray Purple Orange\nOrange Blue Gray Purple Orange\nOrange Blue Gray Purple Orange\nOrange Blue Gray Purple Orange\nOrange Blue Gray Purple Orange\nOrange Blue Gray Purple Orange\nOrange Blue Gray Purple Orange\nOrange Blue Gray Purple Orange\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlue Purple Purple Brown Gray\nBlue Purple Purple Brown Gray\nBlue Purple Purple Brown Gray\nBlue Purple Purple Brown Gray\nBlue Purple Purple Brown Gray\nBlue Purple Purple Brown Gray\nBlue Purple Purple Brown Gray\nBlue Purple Purple Brown Gray\nBlue Purple Purple Brown Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Gray Brown Pink Orange Gray Pink\nBrown Gray Brown Pink Orange Gray Pink\nBrown Gray Brown Pink Orange Gray Pink\nBrown Gray Brown Pink Orange Gray Pink\nBrown Gray Brown Pink Orange Gray Pink\nBrown Gray Brown Pink Orange Gray Pink\nBrown Gray Brown Pink Orange Gray Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Purple Purple Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Purple Purple Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Purple Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Gray Purple Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Blue Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Purple Orange Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Blue Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Gray Brown Brown Gray Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Green Green Yellow Blue Yellow Yellow Orange Black Pink Pink Pink\nBlack Black Black Brown Brown Brown Brown Blue Pink Purple Green Black Pink Blue Pink\nBlack Black Black Black Black Black Black Orange Blue Orange Green Black Pink Pink Pink\nBlack Black Black Black Black Black Black Orange Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Brown Green Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Gray Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Gray Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Blue Green Green Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Green Green Blue Green Green Green Blue Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Green Blue Blue Green Black Yellow Blue Yellow\nBlack Black Black Black Black Black Black Green Blue Blue Green Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Green Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Red Blue Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Red Yellow Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Blue Blue Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Blue Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Yellow Red Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Gray Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Green Gray Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Green Gray Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Gray Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Yellow Yellow Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Yellow Yellow Blue Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Pink Pink Red Pink Pink Black Black Black Black Black Black Black Black\nBlack Brown Brown Red Brown Brown Black Black Black Black Black Black Black Black\nBlack Green Orange Yellow Orange Green Black Black Black Black Black Black Black Black\nBlack Purple Purple Red Purple Purple Gray Orange Orange Pink Brown Black Black Black\nBlack Purple Purple Red Purple Purple Yellow Yellow Orange Pink Pink Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Pink Orange Red Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Orange Pink Pink Black Black Black\nBlack Black Black Black Black Black Gray Orange Orange Pink Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Yellow Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Blue Orange Black Black Black Black Black\nBlack Black Black Black Black Black Red Brown Red 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 Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Green Yellow Yellow Blue Red Red Red Blue Black Black Black\nBlack Yellow Yellow Green Yellow Yellow Yellow Yellow Red Red Red Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Red Black Black Black\nBlack Black Black Black Black Black Blue Red Red Red Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Blue Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Blue Green Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Yellow Orange Black Black Orange Black Black Black Black Black Black\nBlack Orange Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Yellow Black Pink Black Yellow Black Black Pink Black Black\nOrange Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Pink Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Orange Orange Pink Black Black Pink Black Black Black Black Black Black\nBlack Pink Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Orange Black Yellow Black Orange Black Black Yellow Black Black\nPink Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black\n\n\nExample 2\nInput:\nBlack Yellow Black Black Black Black Black\nBlack Black Orange Black Orange Yellow Black\nBlack Black Black Orange Black Black Yellow\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Pink\nBlack Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Orange Black Black Black Black Black\nBlack Black Pink Black Pink Orange Black\nBlack Black Black Pink Black Black Orange\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Orange Black Yellow\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Orange Yellow Black Black Black\nBlack Yellow Black Black Black Orange Black\nBlack Orange Black Black Black Black Black\nBlack Pink Black Black Black Black Orange\nBlack Orange Black Orange Pink Black Yellow\nBlack Black Orange Black Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Black Black Pink Black\nBlack Black Yellow Black Orange Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Orange\n\nOutput:\nBlack Black Pink Orange Black Black Black\nBlack Orange Black Black Black Pink Black\nBlack Pink Black Black Black Black Black\nBlack Yellow Black Black Black Black Pink\nBlack Pink Black Pink Yellow Black Orange\nBlack Black Pink Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Orange Black Pink Black Black\nBlack Orange Black Black Black Black Black\nBlack Black Black Black Black Black Pink\n\n\nHere is the input grid for the test example:\nInput:\nYellow Orange Black Pink Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black\nBlack Black Orange Orange Yellow Black Black Black Yellow\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Orange Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Pink Black Yellow Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Pink Pink Orange Black Black Black Orange\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Pink Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Brown Brown Yellow Yellow Red Red Purple Purple Brown Brown Black Black Orange Orange Black Black Black Black Black Black Pink Pink\nBlack Black Brown Brown Yellow Yellow Red Red Purple Purple Brown Brown Black Black Orange Orange Black Black Black Black Black Black Pink Pink\nBlack Black Gray Gray Black Black Yellow Yellow Red Red Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Yellow Yellow Red Red Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Blue Blue Pink Pink Brown Brown Brown Brown\nGray Gray Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Blue Blue Pink Pink Brown Brown Brown Brown\nGray Gray Black Black Green Green Black Black Purple Purple Black Black Black Black Black Black Blue Blue Black Black Black Black Red Red\nGray Gray Black Black Green Green Black Black Purple Purple Black Black Black Black Black Black Blue Blue Black Black Black Black Red Red\nRed Red Black Black Black Black Yellow Yellow Brown Brown Green Green Orange Orange Purple Purple Black Black Gray Gray Purple Purple Brown Brown\nRed Red Black Black Black Black Yellow Yellow Brown Brown Green Green Orange Orange Purple Purple Black Black Gray Gray Purple Purple Brown Brown\nPink Pink Yellow Yellow Black Black Green Green Purple Purple Black Black Red Red Black Black Pink Pink Orange Orange Green Green Black Black\nPink Pink Yellow Yellow Black Black Green Green Purple Purple Black Black Red Red Black Black Pink Pink Orange Orange Green Green Black Black\nBlack Black Gray Gray Green Green Black Black Black Black Black Black Green Green Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Green Green Black Black Black Black Black Black Green Green Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Gray Gray Green Green Yellow Yellow Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Gray Gray Green Green Yellow Yellow Black Black Black Black Blue Blue\n\nOutput:\nBlack Black Black Black Orange Orange Red Red Purple Purple Black Black Black Black Gray Gray Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Orange Orange Red Red Purple Purple Black Black Black Black Gray Gray Black Black Black Black Black Black Yellow Yellow\nBlack Black Gray Gray Black Black Orange Orange Red Red Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Orange Orange Red Red Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Blue Blue Yellow Yellow Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Blue Blue Yellow Yellow Black Black Black Black\nGray Gray Black Black Pink Pink Black Black Purple Purple Black Black Black Black Black Black Blue Blue Black Black Black Black Red Red\nGray Gray Black Black Pink Pink Black Black Purple Purple Black Black Black Black Black Black Blue Blue Black Black Black Black Red Red\nRed Red Black Black Black Black Orange Orange Black Black Pink Pink Gray Gray Purple Purple Black Black Gray Gray Purple Purple Black Black\nRed Red Black Black Black Black Orange Orange Black Black Pink Pink Gray Gray Purple Purple Black Black Gray Gray Purple Purple Black Black\nYellow Yellow Orange Orange Black Black Pink Pink Purple Purple Black Black Red Red Black Black Yellow Yellow Gray Gray Pink Pink Black Black\nYellow Yellow Orange Orange Black Black Pink Pink Purple Purple Black Black Red Red Black Black Yellow Yellow Gray Gray Pink Pink Black Black\nBlack Black Gray Gray Pink Pink Black Black Black Black Black Black Pink Pink Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Pink Pink Black Black Black Black Black Black Pink Pink Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Gray Gray Pink Pink Orange Orange Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Gray Gray Pink Pink Orange Orange Black Black Black Black Blue Blue\n\n\nExample 2\nInput:\nGreen Green Orange Orange Black Black Brown Brown Black Black Black Black Black Black Green Green Yellow Yellow Yellow Yellow\nGreen Green Orange Orange Black Black Brown Brown Black Black Black Black Black Black Green Green Yellow Yellow Yellow Yellow\nBlack Black Black Black Green Green Brown Brown Pink Pink Yellow Yellow Pink Pink Purple Purple Black Black Black Black\nBlack Black Black Black Green Green Brown Brown Pink Pink Yellow Yellow Pink Pink Purple Purple Black Black Black Black\nGray Gray Black Black Red Red Purple Purple Black Black Black Black Purple Purple Black Black Black Black Red Red\nGray Gray Black Black Red Red Purple Purple Black Black Black Black Purple Purple Black Black Black Black Red Red\nRed Red Blue Blue Black Black Brown Brown Black Black Orange Orange Red Red Black Black Brown Brown Orange Orange\nRed Red Blue Blue Black Black Brown Brown Black Black Orange Orange Red Red Black Black Brown Brown Orange Orange\nBlack Black Purple Purple Gray Gray Purple Purple Black Black Black Black Black Black Purple Purple Brown Brown Pink Pink\nBlack Black Purple Purple Gray Gray Purple Purple Black Black Black Black Black Black Purple Purple Brown Brown Pink Pink\nPink Pink Gray Gray Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Pink Pink\nPink Pink Gray Gray Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Pink Pink\nBrown Brown Purple Purple Red Red Black Black Black Black Black Black Black Black Green Green Black Black Blue Blue\nBrown Brown Purple Purple Red Red Black Black Black Black Black Black Black Black Green Green Black Black Blue Blue\n\nOutput:\nPink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Orange Orange\nPink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Orange Orange\nBlack Black Black Black Pink Pink Black Black Yellow Yellow Orange Orange Yellow Yellow Purple Purple Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Yellow Yellow Orange Orange Yellow Yellow Purple Purple Black Black Black Black\nGray Gray Black Black Red Red Purple Purple Black Black Black Black Purple Purple Black Black Black Black Red Red\nGray Gray Black Black Red Red Purple Purple Black Black Black Black Purple Purple Black Black Black Black Red Red\nRed Red Blue Blue Black Black Black Black Black Black Gray Gray Red Red Black Black Black Black Gray Gray\nRed Red Blue Blue Black Black Black Black Black Black Gray Gray Red Red Black Black Black Black Gray Gray\nBlack Black Purple Purple Gray Gray Purple Purple Black Black Black Black Black Black Purple Purple Black Black Yellow Yellow\nBlack Black Purple Purple Gray Gray Purple Purple Black Black Black Black Black Black Purple Purple Black Black Yellow Yellow\nYellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Purple Purple Red Red Black Black Black Black Black Black Black Black Pink Pink Black Black Blue Blue\nBlack Black Purple Purple Red Red Black Black Black Black Black Black Black Black Pink Pink Black Black Blue Blue\n\n\nExample 3\nInput:\nGray Gray Black Black Black Black Pink Pink Gray Gray Black Black Red Red Purple Purple Black Black Black Black Black Black\nGray Gray Black Black Black Black Pink Pink Gray Gray Black Black Red Red Purple Purple Black Black Black Black Black Black\nBrown Brown Black Black Black Black Red Red Green Green Pink Pink Black Black Red Red Pink Pink Blue Blue Brown Brown\nBrown Brown Black Black Black Black Red Red Green Green Pink Pink Black Black Red Red Pink Pink Blue Blue Brown Brown\nBlack Black Black Black Green Green Black Black Red Red Brown Brown Yellow Yellow Gray Gray Blue Blue Black Black Red Red\nBlack Black Black Black Green Green Black Black Red Red Brown Brown Yellow Yellow Gray Gray Blue Blue Black Black Red Red\nBlack Black Orange Orange Black Black Purple Purple Pink Pink Brown Brown Black Black Yellow Yellow Brown Brown Black Black Black Black\nBlack Black Orange Orange Black Black Purple Purple Pink Pink Brown Brown Black Black Yellow Yellow Brown Brown Black Black Black Black\nBlack Black Black Black Pink Pink Gray Gray Black Black Black Black Yellow Yellow Black Black Black Black Blue Blue Gray Gray\nBlack Black Black Black Pink Pink Gray Gray Black Black Black Black Yellow Yellow Black Black Black Black Blue Blue Gray Gray\nPink Pink Purple Purple Black Black Brown Brown Black Black Pink Pink Black Black Black Black Gray Gray Gray Gray Green Green\nPink Pink Purple Purple Black Black Brown Brown Black Black Pink Pink Black Black Black Black Gray Gray Gray Gray Green Green\nPurple Purple Pink Pink Green Green Green Green Blue Blue Black Black Black Black Black Black Black Black Gray Gray Blue Blue\nPurple Purple Pink Pink Green Green Green Green Blue Blue Black Black Black Black Black Black Black Black Gray Gray Blue Blue\n\nOutput:\nGray Gray Black Black Black Black Yellow Yellow Gray Gray Black Black Red Red Purple Purple Black Black Black Black Black Black\nGray Gray Black Black Black Black Yellow Yellow Gray Gray Black Black Red Red Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Pink Pink Yellow Yellow Black Black Red Red Yellow Yellow Blue Blue Black Black\nBlack Black Black Black Black Black Red Red Pink Pink Yellow Yellow Black Black Red Red Yellow Yellow Blue Blue Black Black\nBlack Black Black Black Pink Pink Black Black Red Red Black Black Orange Orange Gray Gray Blue Blue Black Black Red Red\nBlack Black Black Black Pink Pink Black Black Red Red Black Black Orange Orange Gray Gray Blue Blue Black Black Red Red\nBlack Black Gray Gray Black Black Purple Purple Yellow Yellow Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Purple Purple Yellow Yellow Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Gray Gray Black Black Black Black Orange Orange Black Black Black Black Blue Blue Gray Gray\nBlack Black Black Black Yellow Yellow Gray Gray Black Black Black Black Orange Orange Black Black Black Black Blue Blue Gray Gray\nYellow Yellow Purple Purple Black Black Black Black Black Black Yellow Yellow Black Black Black Black Gray Gray Gray Gray Pink Pink\nYellow Yellow Purple Purple Black Black Black Black Black Black Yellow Yellow Black Black Black Black Gray Gray Gray Gray Pink Pink\nPurple Purple Yellow Yellow Pink Pink Pink Pink Blue Blue Black Black Black Black Black Black Black Black Gray Gray Blue Blue\nPurple Purple Yellow Yellow Pink Pink Pink Pink Blue Blue Black Black Black Black Black Black Black Black Gray Gray Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Red Red Red Red Brown Brown Black Black Green Green Black Black\nBlack Black Black Black Black Black Red Red Red Red Brown Brown Black Black Green Green Black Black\nBlack Black Red Red Green Green Black Black Blue Blue Black Black Yellow Yellow Brown Brown Green Green\nBlack Black Red Red Green Green Black Black Blue Blue Black Black Yellow Yellow Brown Brown Green Green\nBlack Black Black Black Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Red Red\nBlack Black Black Black Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Red Red\nYellow Yellow Black Black Black Black Purple Purple Yellow Yellow Black Black Black Black Black Black Brown Brown\nYellow Yellow Black Black Black Black Purple Purple Yellow Yellow Black Black Black Black Black Black Brown Brown\nGray Gray Blue Blue Black Black Blue Blue Pink Pink Black Black Orange Orange Blue Blue Purple Purple\nGray Gray Blue Blue Black Black Blue Blue Pink Pink Black Black Orange Orange Blue Blue Purple Purple\nBlack Black Orange Orange Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Brown Brown Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Brown Brown Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Green Green Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Orange Orange Purple Purple Black Black Black Black Black Black Orange Orange\nBlack Black Purple Purple Black Black Orange Orange Purple Purple Black Black Black Black Black Black Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Pink Pink Black Black\nBlack Black Red Red Pink Pink Black Black Blue Blue Black Black Orange Orange Black Black Pink Pink\nBlack Black Red Red Pink Pink Black Black Blue Blue Black Black Orange Orange Black Black Pink Pink\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Red\nOrange Orange Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Purple Purple Orange Orange Black Black Black Black Black Black Black Black\nGray Gray Blue Blue Black Black Blue Blue Yellow Yellow Black Black Gray Gray Blue Blue Purple Purple\nGray Gray Blue Blue Black Black Blue Blue Yellow Yellow Black Black Gray Gray Blue Blue Purple Purple\nBlack Black Gray Gray Black Black Purple Purple Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Purple Purple Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Gray Gray Purple Purple Black Black Black Black Black Black Gray Gray\nBlack Black Purple Purple Black Black Gray Gray Purple Purple Black Black Black Black Black Black Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Blue Black Black Black Black Black Black\nBlack Blue Black Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Pink Pink Black Black\nBlack Blue Blue Blue Black Black Black Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Orange Orange Pink Pink Black Black\nBlack Black Black Black Black Orange Black Blue Blue Black\nBlack Black Pink Pink Black Orange Black Blue Blue Black\nBlack Black Black Pink Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Blue Green Blue Green Green Green Green Green Green\nGreen Blue Green Blue Green Green Green Green Green Green\nGreen Blue Blue Blue Green Green Pink Pink Green Green\nGreen Blue Blue Blue Green Green Green Pink Pink Green\nGreen Green Green Green Green Pink Pink Pink Pink Green\nGreen Green Green Green Orange Orange Pink Pink Green Green\nGreen Green Green Green Green Orange Green Blue Blue Green\nGreen Green Pink Pink Green Orange Green Blue Blue Green\nGreen Green Green Pink Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Pink Black Black Black Black Black\nBlack Black Black Yellow Pink Black Blue Blue Blue Blue\nBlack Orange Orange Black Pink Black Blue Blue Blue Blue\nBlack Orange Black Black Pink Pink Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Yellow Yellow Yellow Green Green Green Green Green\nGreen Green Green Yellow Green Green Green Green Green Green\nGreen Green Green Yellow Pink Green Green Green Green Green\nGreen Green Green Yellow Pink Green Blue Blue Blue Blue\nGreen Orange Orange Green Pink Green Blue Blue Blue Blue\nGreen Orange Green Green Pink Pink Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Red Black Black Red Black\nYellow Black Black Black Black Red Red Red Red Black\nYellow Black Black Black Black Red Red Red Red Black\nYellow Yellow Yellow Black Black Red Red Red Red Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Gray Gray Black Pink Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Red Green Green Red Green\nYellow Green Green Green Green Red Red Red Red Green\nYellow Green Green Green Green Red Red Red Red Green\nYellow Yellow Yellow Green Green Red Red Red Red Green\nGreen Green Green Green Pink Green Green Green Green Green\nGreen Green Green Green Pink Pink Green Green Green Green\nGreen Green Green Green Green Pink Pink Pink Pink Green\nGreen Green Green Gray Gray Green Pink Green Green Green\nGreen Green Green Gray Gray Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Black Black\nBlue Black Blue Black Black Red Red Red Red Black\nBlue Blue Blue Green Black Red Red Red Red Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Orange Orange Orange Orange Green\nGreen Green Green Green Green Orange Orange Orange Orange Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Red Red Red Red Green\nGreen Green Green Green Green Green Red Red Green Green\nBlue Green Blue Green Green Red Red Red Red Green\nBlue Blue Blue Green Green Red Red Red Red Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Black\nYellow Yellow Black Black Black Black Brown Brown Brown Black\nYellow Yellow Black Black Black Pink Pink Pink Black Black\nYellow Yellow Black Black Black Pink Pink Pink Black Black\nBlack Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Pink Black Black Black Black\nYellow Yellow Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Red Red Red Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlue Blue Black Black Black Black Black Blue Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Red Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Purple Purple Purple\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Green Green Brown Black Black Black Black\nBlack Black Black Green Green Brown Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Brown Brown Black\nPink Pink Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Red Pink Pink Yellow Purple Orange Orange\nBrown Brown Blue Pink Gray Red Orange Pink\nGray Red Green Purple Brown Orange Brown Yellow\nPink Brown Purple Gray Purple Orange Orange Pink\nBlue Red Brown Brown Brown Green Gray Brown\nBlue Purple Purple Blue Orange Orange Orange Purple\nYellow Purple Blue Purple Yellow Blue Blue Gray\nPurple Orange Yellow Purple Yellow Purple Pink Pink\nBlue Pink Red Yellow Green Green Gray Orange\nBlue Red Gray Yellow Orange Green Purple Brown\nOrange Orange Pink Gray Purple Green Orange Green\nPurple Brown Orange Yellow Gray Purple Yellow Green\n\nOutput:\nYellow Pink Purple Purple Blue Brown Black Black\nPink Pink Yellow Purple Gray Pink Black Purple\nGray Pink Brown Brown Pink Black Pink Blue\nPurple Pink Brown Gray Brown Black Black Purple\nYellow Pink Pink Pink Pink Brown Gray Pink\nYellow Brown Brown Yellow Black Black Black Brown\nBlue Brown Yellow Brown Blue Yellow Yellow Gray\nBrown Black Blue Brown Blue Brown Purple Purple\nYellow Purple Pink Blue Brown Brown Gray Black\nYellow Pink Gray Blue Black Brown Brown Pink\nBlack Black Purple Gray Brown Brown Black Brown\nBrown Pink Black Blue Gray Brown Blue Brown\n\n\nExample 2\nInput:\nPink Pink Pink Orange Pink Brown Orange\nOrange Orange Blue Yellow Orange Blue Yellow\nOrange Red Purple Blue Blue Purple Blue\nBrown Pink Red Purple Orange Brown Red\nBrown Orange Purple Purple Brown Gray Green\nPurple Yellow Gray Pink Pink Brown Pink\nPurple Brown Pink Orange Green Brown Blue\nPurple Gray Gray Blue Green Purple Gray\nRed Gray Yellow Green Yellow Purple Red\nYellow Orange Purple Red Yellow Brown Orange\n\nOutput:\nPurple Purple Purple Black Purple Pink Black\nBlack Black Yellow Blue Black Yellow Blue\nBlack Pink Brown Yellow Yellow Brown Yellow\nPink Purple Pink Brown Black Pink Pink\nPink Black Brown Brown Pink Gray Brown\nBrown Blue Gray Purple Purple Pink Purple\nBrown Pink Purple Black Brown Pink Yellow\nBrown Gray Gray Yellow Brown Brown Gray\nPink Gray Blue Brown Blue Brown Pink\nBlue Black Brown Pink Blue Pink Black\n\n\nExample 3\nInput:\nGray Yellow Orange Brown Green Gray Gray\nBlue Blue Purple Yellow Orange Pink Brown\nGreen Orange Red Brown Gray Blue Yellow\nBlue Yellow Brown Pink Red Purple Yellow\nGray Brown Green Blue Yellow Yellow Red\nPink Brown Blue Gray Pink Orange Green\nBrown Pink Green Green Purple Green Blue\nYellow Purple Yellow Gray Orange Purple Orange\nPink Blue Green Blue Gray Blue Purple\nPink Orange Blue Blue Pink Blue Pink\nPurple Green Yellow Purple Purple Brown Orange\n\nOutput:\nGray Blue Black Pink Brown Gray Gray\nYellow Yellow Brown Blue Black Purple Pink\nBrown Black Pink Pink Gray Yellow Blue\nYellow Blue Pink Purple Pink Brown Blue\nGray Pink Brown Yellow Blue Blue Pink\nPurple Pink Yellow Gray Purple Black Brown\nPink Purple Brown Brown Brown Brown Yellow\nBlue Brown Blue Gray Black Brown Black\nPurple Yellow Brown Yellow Gray Yellow Brown\nPurple Black Yellow Yellow Purple Yellow Purple\nBrown Brown Blue Brown Brown Pink Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Purple Brown Yellow Blue Pink Gray Pink\nPurple Gray Brown Orange Purple Red Purple Pink Gray\nOrange Red Orange Purple Green Pink Brown Gray Green\nGreen Purple Brown Purple Gray Brown Yellow Pink Pink\nPurple Blue Yellow Yellow Orange Red Blue Brown Brown\nGreen Red Blue Blue Red Purple Orange Brown Gray\nPink Yellow Pink Green Pink Orange Orange Orange Brown\nRed Orange Blue Red Green Blue Pink Pink Blue\nYellow Blue Yellow Purple Green Orange Gray Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Brown Pink Blue Yellow Purple Gray Purple\nBrown Gray Pink Black Brown Pink Brown Purple Gray\nBlack Pink Black Brown Brown Purple Pink Gray Brown\nBrown Brown Pink Brown Gray Pink Blue Purple Purple\nBrown Yellow Blue Blue Black Pink Yellow Pink Pink\nBrown Pink Yellow Yellow Pink Brown Black Pink Gray\nPurple Blue Purple Brown Purple Black Black Black Pink\nPink Black Yellow Pink Brown Yellow Purple Purple Yellow\nBlue Yellow Blue Brown Brown Black Gray Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black\nBlack Red Red 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 Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Red Red Black Red Red Black Red Red Black Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Black Red Red Black Red Red Black Red Red\nBlack Red Red Black Red Red Black Red Red Black Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Black Red Red Black Red Red Black Red Red\nBlack Red Red Black Red Red Black Red Red Black Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Black Red Red Black Red Red Black Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Gray Gray Black Gray Gray Black Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Gray Gray Black Gray Gray Black Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Gray Gray Black Gray Gray Black Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Gray Gray Black Gray Gray Black Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Pink Pink Pink Black Black\nBlack Black Black Brown Brown Brown Brown Pink Pink Pink Black Black\nBlack Black Black Brown Brown Brown Brown Pink Pink Pink Black Black\n\nOutput:\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Black Black\n\n\nExample 2\nInput:\nRed Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Blue Blue Blue Black\nRed Red Black Black Black Black Blue Blue Blue Black\nBlack Black Orange Orange Orange Black Blue Blue Blue Black\nBlack Black Orange Orange Orange Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Brown Brown Brown Black\nBrown Brown Black Black Black Black Brown Brown Brown Black\nBlack Black Brown Brown Brown Black Brown Brown Brown Black\nBlack Black Brown Brown Brown Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Brown Brown Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Black\n```",
"role": "assistant"
}
] |