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"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack 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 Yellow Yellow Yellow Yellow\nBlack 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 Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Red Red Black Black Black Black Black Black\nBlack Black 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\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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Red Red 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 Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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 Green Black Black Green Black Black Black Green 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 Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Black Black Green Black Black Black Green Black\nBlack Green Black Black Green Black Black Green Green Black\nBlack Green Black Black Green Black Green Green Gray Black\nBlack Green Black Black Green Black Green Gray Black Black\nBlack Green Black Black Green Green Green Black Black Black\nBlack Green Black Black Green Green Gray Black Black Black\nBlack Green Gray Black Green Green Black Black Black Black\nBlack Green Black Black Green Green Gray Black Black Black\nBlack Green Black Gray Green Green Black Black Black Black\nBlack Green Black Black Green Green Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Green Green Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Gray Black Gray Black Black Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Green Black Green Black Black Black\nBlack Black Black Green Green Black Green Black Black Black\nBlack Black Green Green Green Black Green Black Black Black\nBlack Black Green Gray Green Black Green Black Black Black\nBlack Black Green Black Green Black Green Black Black Black\nBlack Green Green Green Green Black Green Black Black Black\nBlack Green Gray Green Gray Black Green Gray Black Black\nBlack Green Black Green Black Green Green Black Black Black\nBlack Green Black Green Gray Green Gray Black Black Black\nBlack Green Black Green Black Green Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Green Black Green Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray 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 Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Gray Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Black Green Black Green Black Black\nBlack Black Green Green Black Green Black Green Black Black\nBlack Gray Green Gray Black Green Black Green Black Black\nBlack Black Green Black Black Green Black Green Black Black\nBlack Black Green Black Black Green Black Green Black Black\nBlack Black Green Black Green Green Black Green Black Black\nBlack Black Green Black Green Gray Black Green Gray Black\nBlack Black Green Black Green Black Gray Green Black Black\nBlack Black Green Black Green Gray Black Green Black Black\nBlack Black Green Black Green Black Black Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Green Green Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Gray Black Black Black Gray 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 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Green Green Black Black Green Black Black Black Black\nBlack Green Green Black Black Green Gray Black Black Black\nBlack Green Green Black Black Green Black Black Black Black\nGreen Green Green Black Green Green Gray Black Black Black\nGreen Gray Green Black Green Gray Black Black Black Black\nGreen Black Green Green Green Black Black Black Black Black\nGreen Black Green Green Gray Gray Black Black Black Black\nGreen Black Green Green Black Gray Black Black Black Black\nGreen Black Green Green Black Black Black Black Black Black\nGreen Black Green 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 Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Yellow Yellow Red Red Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Green Yellow Yellow Red Red Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow 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\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nPink Pink Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink 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 Red Red Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red 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 Red Red Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Red Red\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow Yellow Yellow Yellow 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 Black Black Black Black Black\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 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\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\n\nOutput:\nYellow 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\nYellow 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\nBlue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black 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\nPink Pink Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nPink Pink Red Red 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\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 Blue Blue 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\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Pink Pink Green Green\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Pink Pink Green Green\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Blue Blue Blue Purple Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Yellow Purple Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Yellow Yellow Purple Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Yellow Yellow Purple Black Black Black\nBlack Black Black Black Black Blue Blue Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Gray 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 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:\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 Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 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 Pink Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Pink Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Red Red Black Black Brown Purple Purple Purple Black Black Black\nBlack Brown Brown Brown Black Red Brown Red Red Red Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Brown Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Red Red Red Black Black Black Black\nBlack 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Orange Orange Black Black Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\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 Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green 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 Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Black\nBrown Orange Orange Orange Orange\nBrown Green Black Black Black\nBlue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlue Brown Brown Black Black Blue Brown Brown Black Black Blue Brown Brown Black Black Blue Brown Orange Black Black Blue Brown Brown Black Black\nBlack Green Orange Black Black Black Green Orange Black Black Black Green Orange Black Black Black Green Orange Black Black Black Green Orange Black Black\nBlack Black Orange Black Black Black Black Orange Black Black Black Black Orange Black Black Black Black Orange Black Black Black Black Orange Black Black\nBlack Black Orange Orange Black Black Black Orange Orange Black Black Black Orange Orange Black Black Black Orange Orange Black Black Black Orange Orange Black\nBlue Brown Orange Black Black Blue Brown Orange Black Black Black Black Orange Black Black Black Black Orange Black Black Black Black Orange Black Black\nBlack Green Orange Black Black Black Green Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Brown Orange Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange 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:\nBrown Black Blue Purple\nBrown Pink Gray Yellow\nPink Pink Gray Red\nBrown Pink Gray Yellow\nBrown Black Blue Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Pink Brown Brown Black Black Black Brown Brown Pink Brown Brown Brown Pink Brown\nBlack Pink Pink Pink Black Black Black Black Black Pink Pink Pink Black Pink Pink Pink\nBlue Gray Gray Gray Blue Black Black Black Blue Gray Gray Gray Blue Gray Gray Gray\nPurple Yellow Red Yellow Purple Black Black Black Purple Yellow Red Yellow Purple Yellow Red Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Pink Brown Brown Brown Pink Brown Brown Brown Pink Brown Brown Brown Pink Brown\nBlack Pink Pink Pink Black Pink Pink Pink Black Pink Pink Pink Black Pink Pink Pink\nBlue Gray Gray Gray Blue Gray Gray Gray Blue Gray Gray Gray Blue Gray Gray Gray\nPurple Yellow Red Yellow Purple Yellow Red Yellow Purple Yellow Red Yellow Purple Yellow Red Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Pink Brown Brown Brown Pink Brown Brown Brown Pink Brown Brown Brown Pink Brown\nBlack Pink Pink Pink Black Pink Pink Pink Black Pink Pink Pink Black Pink Pink Pink\nBlue Gray Gray Gray Blue Gray Gray Gray Blue Gray Gray Gray Blue Gray Gray Gray\nPurple Yellow Red Yellow Purple Yellow Red Yellow Purple Yellow Red Yellow Purple Yellow Red Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Pink Brown Brown Brown Pink Brown Brown Brown Pink Brown Brown Brown Pink Brown\nBlack Pink Pink Pink Black Pink Pink Pink Black Pink Pink Pink Black Pink Pink Pink\nBlue Gray Gray Gray Blue Gray Gray Gray Blue Gray Gray Gray Blue Gray Gray Gray\nPurple Yellow Red Yellow Purple Yellow Red Yellow Purple Yellow Red Yellow Purple Yellow Red Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Pink Brown Brown Black Black Black Brown Brown Pink Brown Brown Brown Pink Brown\nBlack Pink Pink Pink Black Black Black Black Black Pink Pink Pink Black Pink Pink Pink\nBlue Gray Gray Gray Blue Black Black Black Blue Gray Gray Gray Blue Gray Gray Gray\nPurple Yellow Red Yellow Purple Black Black Black Purple Yellow Red Yellow Purple Yellow Red Yellow\n\n\nExample 3\nInput:\nPink Pink Pink Orange Black\nPink Brown Black Orange Purple\nRed Red Black Yellow Purple\nRed Red Green Black Purple\nBlack Red Black Black Black\n\nOutput:\nBlack Red Red Pink Pink Black Red Red Pink Pink Black Red Red Pink Pink Black Red Red Pink Pink Black Black Black Black Black\nRed Red Red Brown Pink Red Red Red Brown Pink Red Red Red Brown Pink Red Red Red Brown Pink Black Black Black Black Black\nBlack Green Black Black Pink Black Green Black Black Pink Black Green Black Black Pink Black Green Black Black Pink Black Black Black Black Black\nBlack Black Yellow Orange Orange Black Black Yellow Orange Orange Black Black Yellow Orange Orange Black Black Yellow Orange Orange Black Black Black Black Black\nBlack Purple Purple Purple Black Black Purple Purple Purple Black Black Purple Purple Purple Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Red Red Pink Pink Black Red Red Pink Pink Black Black Black Black Black Black Red Red Pink Pink Black Red Red Pink Pink\nRed Red Red Brown Pink Red Red Red Brown Pink Black Black Black Black Black Red Red Red Brown Pink Red Red Red Brown Pink\nBlack Green Black Black Pink Black Green Black Black Pink Black Black Black Black Black Black Green Black Black Pink Black Green Black Black Pink\nBlack Black Yellow Orange Orange Black Black Yellow Orange Orange Black Black Black Black Black Black Black Yellow Orange Orange Black Black Yellow Orange Orange\nBlack Purple Purple Purple Black Black Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Purple Black Black Purple Purple Purple Black\nBlack Red Red Pink Pink Black Red Red Pink Pink Black Black Black Black Black Black Red Red Pink Pink Black Red Red Pink Pink\nRed Red Red Brown Pink Red Red Red Brown Pink Black Black Black Black Black Red Red Red Brown Pink Red Red Red Brown Pink\nBlack Green Black Black Pink Black Green Black Black Pink Black Black Black Black Black Black Green Black Black Pink Black Green Black Black Pink\nBlack Black Yellow Orange Orange Black Black Yellow Orange Orange Black Black Black Black Black Black Black Yellow Orange Orange Black Black Yellow Orange Orange\nBlack Purple Purple Purple Black Black Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Purple Black Black Purple Purple Purple Black\nBlack Red Red Pink Pink Black Red Red Pink Pink Black Red Red Pink Pink Black Black Black Black Black Black Red Red Pink Pink\nRed Red Red Brown Pink Red Red Red Brown Pink Red Red Red Brown Pink Black Black Black Black Black Red Red Red Brown Pink\nBlack Green Black Black Pink Black Green Black Black Pink Black Green Black Black Pink Black Black Black Black Black Black Green Black Black Pink\nBlack Black Yellow Orange Orange Black Black Yellow Orange Orange Black Black Yellow Orange Orange Black Black Black Black Black Black Black Yellow Orange Orange\nBlack Purple Purple Purple Black Black Purple Purple Purple Black Black Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Brown Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBrown Orange Green\nGreen Green Black\nBrown Orange 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```\nBrown Green Brown Brown Green Brown Brown Green Brown\nOrange Green Orange Orange Green Orange Orange Green Orange\nGreen Black Green Green Black Green Green Black Green\nBrown Green Brown Brown Green Brown Black Black Black\nOrange Green Orange Orange Green Orange Black Black Black\nGreen Black Green Green Black Green Black Black Black\nBrown Green Brown Brown Green Brown Brown Green Brown\nOrange Green Orange Orange Green Orange Orange Green Orange\nGreen Black Green Green Black Green Green Black 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 Orange Black Black\nOrange Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Gray Black Black Black\nBlack Black Black Black Orange Black Orange Black Black Black\nBlack Yellow Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black\nBlack Black 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\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 2\nInput:\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black\nBlack Black Gray Black Black Black Black Brown Brown Black\nPink Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Gray Gray Black Black\nBlue Blue Black Black Black Black Purple Gray Black Black\nBlack 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 Gray 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\nExample 3\nInput:\nPink Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Red Red Black Black Black Black\nPink Pink Black Black Red Red Yellow Pink Black Black\nBlack Black Black Black Black 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\nBlack Black Purple Purple Pink Pink Black Green Black Black\nBlack Black Purple Purple Pink Pink Black Black Black Black\nBlack Black Pink Orange Black Black Black Black Black Black\nBlack Black 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nGray Gray Black Black Black Black Black Black Black Black\nPurple Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Orange Gray Brown Pink Gray Black\nBlack Black Black Black Gray Gray Brown Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nYellow Black Black Black Black Black Black 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 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 Black\nYellow Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Black Black Black Black Black Black\nBlack Black 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 Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black 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 Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Black Black Blue Blue Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Green Green Black Black Black Black Black Black\nBlack Black Red Red Black Black Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Red Red Green Green Black Black Black Black Black Black Black Black Blue Blue\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\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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Red Red Black Black Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Red Red Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 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 Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\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\nRed Red Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\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\nRed Red Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Blue Blue\nBlack 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 Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red\n\nOutput:\nBlack Black Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Blue Blue\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 Red Red Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red\n\n\nHere is the input grid for the test example:\nInput:\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 Green Green Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Blue Blue Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Blue Blue Black Black Blue Blue Red Red 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 Red Red Black Black Green Green Blue Blue Black Black Black Black Green Green\nBlack Black Black Black Black Black Red Red Black Black Green Green Blue Blue Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Blue Blue 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 Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Blue Blue Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Blue Blue Black Black Blue Blue Red Red 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 Red Red Black Black Gray Gray Blue Blue Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Red Red Black Black Gray Gray Blue Blue Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Pink Yellow Pink Brown Black Black Black\nBlack Black Purple Gray Pink Orange Black Black Black\nBlack Black Brown Green Green Orange Black Black Black\nBlack Black Orange Brown Orange 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\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nPink Yellow Pink Brown Black Black Black Black Black Black Black Black Pink Yellow Pink Brown\nPurple Gray Pink Orange Black Black Black Black Black Black Black Black Purple Gray Pink Orange\nBrown Green Green Orange Black Black Black Black Black Black Black Black Brown Green Green Orange\nOrange Brown Orange Gray Black Black Black Black Black Black Black Black Orange Brown Orange Gray\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\nPink Yellow Pink Brown Black Black Black Black Black Black Black Black Pink Yellow Pink Brown\nPurple Gray Pink Orange Black Black Black Black Black Black Black Black Purple Gray Pink Orange\nBrown Green Green Orange Black Black Black Black Black Black Black Black Brown Green Green Orange\nOrange Brown Orange Gray Black Black Black Black Black Black Black Black Orange Brown Orange Gray\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 Yellow Blue Red Green Black Black Black Black\nBlack Black Black Pink Blue Gray Red Black Black Black Black\nBlack Black Black Orange Brown Blue Purple Black Black Black Black\nBlack Black Black Brown Gray Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Blue Red Green Black Black Black Black Yellow Blue Red Green\nPink Blue Gray Red Black Black Black Black Pink Blue Gray Red\nOrange Brown Blue Purple Black Black Black Black Orange Brown Blue Purple\nBrown Gray Brown Brown Black Black Black Black Brown Gray Brown Brown\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\nYellow Blue Red Green Black Black Black Black Yellow Blue Red Green\nPink Blue Gray Red Black Black Black Black Pink Blue Gray Red\nOrange Brown Blue Purple Black Black Black Black Orange Brown Blue Purple\nBrown Gray Brown Brown Black Black Black Black Brown Gray Brown Brown\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 Yellow Yellow Black Black Black Black\nBlack Black Black Black Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow\nRed Green Black Black Black Black Black Black Black Black Red 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 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\nYellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow\nRed Green Black Black Black Black Black Black Black Black Red 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 Black Black\nBlack Black Black Pink Gray Green Black Black Black Black\nBlack Black Black Pink Brown Gray Black Black Black Black\nBlack Black Black Brown Blue 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\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```\nPink Gray Green Black Black Black Black Black Black Black Black Black Pink Gray Green\nPink Brown Gray Black Black Black Black Black Black Black Black Black Pink Brown Gray\nBrown Blue Pink Black Black Black Black Black Black Black Black Black Brown Blue Pink\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\nPink Gray Green Black Black Black Black Black Black Black Black Black Pink Gray Green\nPink Brown Gray Black Black Black Black Black Black Black Black Black Pink Brown Gray\nBrown Blue Pink Black Black Black Black Black Black Black Black Black Brown Blue Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Yellow Blue Red Red Red Black Black Black\nBlack Black Red Red Black Red Black Yellow Yellow Black\nBlack Black Red Red Black Red Black Yellow Yellow Black\nBlack Green Yellow Blue Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Black Yellow Yellow Black Black Black Black\n\nOutput:\nOrange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Blue Yellow Black Black\nBlack Black Black Black Black Black Yellow 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 Blue Green Black Black Yellow Yellow Black\nBlack Black Black Yellow Green Red Red Red Red Black\nBlack Black Black Yellow Green Black Black Black Black Black\nBlack Black Black Blue Green Black Black Black Black Black\n\nOutput:\nOrange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Red Green Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Green Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange\n\n\nHere is the input grid for the test example:\nInput:\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 Yellow Green Yellow\nYellow Yellow Black Red Black Black Black Green Green Green\nBlack Yellow Yellow Red Black Black Black Red Yellow Red\nBlack Black Black Black Black Black Black Red Black Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Green Blue Gray\nGray Gray Gray Gray Gray\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nGreen Black Blue Black Gray\nGreen Black Blue Black Gray\nGreen Black Blue Black Gray\nGreen Black Blue Black Gray\n\n\nExample 2\nInput:\nBlack Black Black Brown Purple Red Gray\nGray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBrown Black Purple Black Red Black Gray\nBrown Black Purple Black Red Black Gray\nBrown Black Purple Black Red Black Gray\nBrown Black Purple Black Red Black Gray\n\n\nExample 3\nInput:\nBlack Black Black Purple Green Red Brown\nGray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPurple Black Green Black Red Black Brown\nPurple Black Green Black Red Black Brown\nPurple Black Green Black Red Black Brown\nPurple Black Green Black Red Black Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Orange Yellow\nGray Gray Gray\nBlack Black Black\nBlack Black Black\nBlack 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 Black Yellow\nOrange Black Yellow\nOrange Black Yellow\nOrange Black Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Gray Gray Black Black Black Black Black Black Black Black\nOrange Orange Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Gray Gray Black Black Black Black Gray Gray Orange Orange\nOrange Orange Gray Gray Black Black Black Black Gray Gray Orange Orange\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Orange Orange\n\n\nExample 2\nInput:\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Black Black Black Black Black Black\nPink Pink Black Black Pink Pink 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 Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\n\nOutput:\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black\nPink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink\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 Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBrown Brown Yellow Yellow Black Black Black Black\nBrown Brown Yellow Yellow Black Black Black Black\nBrown Brown Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black\nYellow Yellow Brown Brown Black Black Black Black\nYellow Yellow Brown Brown Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBrown Brown Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Black Black Black Black Brown Brown\nBrown Brown Black Black Black Black Brown Brown\nYellow Yellow Brown Brown Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Red Black Black Black Black\nBlack Black Red Red 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\nBlue Blue Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Red Red Red Black Black\nBlack Black Red Red Red Red 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\nBlue Blue Black Black Black Black Blue Blue\nBlue Blue Black Black 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 Yellow Black Black Brown Orange Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Brown Black Black Pink Gray Black Black Black Green Black\nBlack Black Black Black Purple Black Black Black Black Yellow Black Black\nBlack Black Red Black Black Black Black Green Black Blue Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nRed Black Red Gray Black Brown Blue Black Black Pink Purple Black\nBlack Black Black Black Orange Black Black Orange Black Black Black Gray\n\nOutput:\nBlack Black Yellow Black Black Brown Brown Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Pink Pink Black Black Brown Black Black\nBlack Black Black Black Purple Black Black Purple Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Black Red Gray Black Brown Brown Black Gray Red Black Red\nBlack Black Black Black Orange Black Black Orange Black Black Black Black\n\n\nExample 2\nInput:\nBlack Orange Black Black Green Gray Black Brown Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Brown Black Black Pink Red\nBlack Black Black Red Black Black Black Purple Black Black\nBrown Black Black Black Black Black Black Black Yellow Black\nBlack Black Purple Black Black Black Black Black Black Green\nRed Black Black Blue Black Black Black Orange Purple Black\n\nOutput:\nBlack Orange Black Black Green Green Black Black 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 Red Black Black Red Black Black Black\nBrown Black Black Black Black Black Black Black Black Brown\nBlack Black Purple Black Black Black Black Purple Black Black\nRed Black Black Blue Black Black Blue Black Black Red\n\n\nExample 3\nInput:\nGreen Black Black Black Black Black Brown Red Black Black Black\nBlack Black Black Gray Black Black Orange Black Black Pink Black\nBlack Gray Blue Black Black Black Brown Black Black Black Black\nBlack Black Black Pink Yellow Black Pink Black Black Black Black\nBlack Black Purple Black Black Green Black Black Gray Black Brown\nBlack Black Black Black Purple Pink Red Blue Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Gray Black Black Black Gray Black Black Black\nBlack Gray Blue Black Black Black Black Black Blue Gray Black\nBlack Black Black Pink Yellow Black Yellow Pink Black Black Black\nBlack Black Purple Black Black Green Black Black Purple Black Black\nBlack Black Black Black Purple Pink Purple 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 Yellow Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Gray Red Black Black Pink\nBlack Black Black Black Black Black Black Brown Black\nBrown Black Black Black Black Black Black Black Black\nBlack Black Blue Black Green Brown Black Green Blue\nBlack Blue Black Black Black Brown Black Orange Black\nBlack Black Black Black Black Black Purple Black Black\nGreen Yellow Black Red Brown Black Yellow Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Brown\nBlack Black Blue Black Green Black Blue Black Black\nBlack Blue Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black\nGreen Yellow Black Red Brown Red Black Yellow 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 Orange Orange Orange Black Black Yellow Yellow Yellow Black\nBlack Orange Orange Orange Black Black Yellow Yellow Yellow Black\nBlack Orange Orange Gray Black Black Yellow Gray Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Brown Brown Brown Black Purple Purple Purple\nBlack Black Black Brown Brown Gray Black Purple Gray Purple\nBlack Black Black Brown Brown Brown Black Black Black Black\n\nOutput:\nGray Black Black Yellow Gray\nBlack Black Black Black Black\nPurple Purple Black Black Black\nPurple Purple Brown Brown Brown\nGray Purple Brown Brown Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black\nYellow Yellow Yellow Black Black Green Green Green Black Black\nYellow Yellow Yellow Black Black Gray Green Green Black Black\nYellow Gray Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Gray Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Green Green Yellow Gray\nBlack Black Black Black Black\nBlack Black Black Black Black\nGreen Black Black Black Black\nGray Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Pink Pink Gray Black Black Black\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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBrown Brown Brown Black Black Black Black Gray Pink Pink\nBrown Gray Brown Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black\n\nOutput:\nGray Black Black Black Gray\nPink Black Black Black Black\nPink Black Black Black Black\nBrown Brown Black Black Black\nGray Brown 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 Red Gray Red Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nGreen Green Green Black Red Red Red Black Black Black\nGray Green Green Black Black Black Black Black Black Black\nGreen Green Green Black Black Green Green Green Black Black\nBlack Black Black Black Black Gray Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Red Black Black Gray\nRed Red Black Black Green\nRed Red Black Black Black\nGreen Green Green Black Black\nGray 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 Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Gray\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nYellow 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 Yellow Yellow Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow 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 Gray\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 Gray\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 Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Gray\nYellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Gray\nBlack Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Gray Black Gray Black Black Black Black Gray Black Black\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Gray Black Gray Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Green Green Green Black Black Black\nPurple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Green Green Green Black Black Black\nPurple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange 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 Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nGreen Green Green Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nGreen Green Green Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nGreen Green Green Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Pink Pink Pink Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Pink Pink Pink Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Pink Pink Pink Yellow Yellow Yellow Black Black Black\nBlack 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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nGreen Green Green Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nGreen Green Green Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nGreen Green Green Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nGray Gray Gray Orange Orange Orange Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Green Green Green Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Green Green Green Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Green Green Green Black Black Black Pink Pink Pink\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Green Green Green Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow\nGreen Green Green Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow\nGreen Green Green Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow\nPurple Purple Purple Black Black Black Black Black Black Green Green Green Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Green Green Green Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Green Green Green Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Pink Pink Pink\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow\nPurple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Gray Gray Gray Red Red Red Orange Orange Orange Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Gray Gray Gray Red Red Red Orange Orange Orange Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Gray Gray Gray Red Red Red Orange Orange Orange Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nRed Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nRed Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nPink Pink Pink Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nPink Pink Pink Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nPink Pink Pink Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Gray Gray Gray Red Red Red Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Gray Gray Gray Red Red Red Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Gray Gray Gray Red Red Red Yellow Yellow Yellow Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nRed Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nRed Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nPink Pink Pink Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nPink Pink Pink Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nPink Pink Pink Purple Purple Purple Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Purple Orange Gray Yellow Orange Green Red Orange Pink Orange Brown Orange Blue Pink Red Purple Gray\nBrown Purple Red Brown Blue Blue Purple Brown Purple Orange Red Brown Purple Red Orange Pink Green Yellow\nRed Red Pink Blue Blue Blue Red Blue Red Brown Yellow Green Orange Yellow Gray Brown Red Red\nOrange Brown Orange Brown Pink Purple Purple Green Blue Green Pink Pink Purple Red Red Yellow Brown Purple\nYellow Gray Green Brown Blue Orange Orange Blue Green Brown Yellow Purple Purple Purple Gray Green Blue Pink\nPink Purple Brown Orange Orange Purple Red Orange Green Gray Orange Orange Pink Blue Yellow Blue Purple Gray\nOrange Brown Orange Orange Gray Gray Purple Green Green Yellow Brown Green Pink Brown Yellow Pink Brown Red\nPurple Pink Pink Green Orange Pink Yellow Orange Purple Purple Purple Yellow Gray Gray Purple Yellow Purple Yellow\n\nOutput:\nPurple Pink Pink Green Orange Pink Yellow Orange Purple Purple Purple Yellow Gray Gray Purple Yellow Purple Yellow\nOrange Brown Orange Orange Gray Gray Purple Green Green Yellow Brown Green Pink Brown Yellow Pink Brown Red\nPink Purple Brown Orange Orange Purple Red Orange Green Gray Orange Orange Pink Blue Yellow Blue Purple Gray\nYellow Gray Green Brown Blue Orange Orange Blue Green Brown Yellow Purple Purple Purple Gray Green Blue Pink\nYellow Gray Green Brown Blue Orange Orange Blue Green Brown Yellow Purple Purple Purple Gray Green Blue Pink\nPink Purple Brown Orange Orange Purple Red Orange Green Gray Orange Orange Pink Blue Yellow Blue Purple Gray\nOrange Brown Orange Orange Gray Gray Purple Green Green Yellow Brown Green Pink Brown Yellow Pink Brown Red\nPurple Pink Pink Green Orange Pink Yellow Orange Purple Purple Purple Yellow Gray Gray Purple Yellow Purple Yellow\n\n\nExample 2\nInput:\nRed Purple Purple Orange Orange Brown Yellow\nGreen Red Yellow Pink Gray Brown Red\nBlue Purple Gray Red Gray Orange Purple\nOrange Blue Pink Orange Brown Orange Purple\nPink Pink Gray Pink Yellow Pink Purple\nGreen Orange Gray Brown Brown Yellow Purple\nRed Red Brown Purple Orange Yellow Purple\nBlue Gray Purple Purple Blue Green Blue\nYellow Blue Blue Brown Orange Green Yellow\nOrange Pink Brown Brown Pink Pink Orange\n\nOutput:\nOrange Pink Brown Brown Pink Pink Orange\nYellow Blue Blue Brown Orange Green Yellow\nBlue Gray Purple Purple Blue Green Blue\nRed Red Brown Purple Orange Yellow Purple\nGreen Orange Gray Brown Brown Yellow Purple\nGreen Orange Gray Brown Brown Yellow Purple\nRed Red Brown Purple Orange Yellow Purple\nBlue Gray Purple Purple Blue Green Blue\nYellow Blue Blue Brown Orange Green Yellow\nOrange Pink Brown Brown Pink Pink Orange\n\n\nExample 3\nInput:\nGray Red Green Yellow Orange Gray Purple\nGreen Purple Yellow Orange Blue Blue Pink\nGray Orange Green Blue Purple Green Pink\nBlue Purple Blue Yellow Pink Blue Yellow\nPink Blue Green Yellow Brown Gray Brown\nBrown Blue Brown Blue Brown Green Pink\nRed Pink Purple Blue Gray Orange Yellow\nYellow Purple Blue Purple Orange Purple Brown\nYellow Orange Pink Green Green Pink Purple\nBrown Blue Gray Orange Brown Yellow Pink\nGray Green Orange Yellow Blue Red Gray\n\nOutput:\nGray Green Orange Yellow Blue Red Gray\nBrown Blue Gray Orange Brown Yellow Pink\nYellow Orange Pink Green Green Pink Purple\nYellow Purple Blue Purple Orange Purple Brown\nRed Pink Purple Blue Gray Orange Yellow\nBrown Blue Brown Blue Brown Green Pink\nRed Pink Purple Blue Gray Orange Yellow\nYellow Purple Blue Purple Orange Purple Brown\nYellow Orange Pink Green Green Pink Purple\nBrown Blue Gray Orange Brown Yellow Pink\nGray Green Orange Yellow Blue Red Gray\n\n\nHere is the input grid for the test example:\nInput:\nOrange Brown Blue Brown Pink Red Orange Green Yellow\nGray Green Yellow Purple Blue Gray Yellow Orange Red\nGreen Green Purple Purple Yellow Gray Red Purple Pink\nPurple Pink Purple Red Brown Yellow Blue Gray Green\nYellow Red Orange Green Orange Blue Purple Blue Purple\nPink Blue Gray Orange Purple Orange Blue Red Orange\nGreen Brown Pink Brown Pink Blue Gray Brown Blue\nGray Gray Gray Brown Pink Yellow Pink Pink Orange\nPink Brown Pink Pink Pink Brown Orange Red 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```\nPink Brown Pink Pink Pink Brown Orange Red Purple\nGray Gray Gray Brown Pink Yellow Pink Pink Orange\nGreen Brown Pink Brown Pink Blue Gray Brown Blue\nPink Blue Gray Orange Purple Orange Blue Red Orange\nYellow Red Orange Green Orange Blue Purple Blue Purple\nPink Blue Gray Orange Purple Orange Blue Red Orange\nGreen Brown Pink Brown Pink Blue Gray Brown Blue\nGray Gray Gray Brown Pink Yellow Pink Pink Orange\nPink Brown Pink Pink Pink Brown Orange Red 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\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Yellow Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow Yellow Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Brown Yellow Yellow Yellow Yellow Purple Purple\nBlack Purple Purple Purple Purple Black Black Black Black Yellow Yellow Yellow Yellow Yellow Blue Purple Purple\nBlack Purple Purple Purple Purple Purple Purple Purple Blue Blue Yellow Yellow Yellow Yellow Blue Purple Purple\nBlack Purple Purple Purple Purple Purple Purple Purple Blue Blue Yellow Yellow Yellow Yellow Blue Purple Purple\nBlack Purple Purple Purple Purple Purple Purple Purple Blue Blue Yellow Yellow Yellow Yellow Blue Purple Purple\nBlack Black Blue Purple Purple Purple Purple Purple Brown Yellow Yellow Yellow Yellow Yellow Black Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Pink Pink Pink Pink Black Black Black\nBlack Black Black Green Green Green Green Green Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Purple Green Pink Pink Pink Pink Black Black Black\nBlack Green Pink Pink Pink Pink Purple Purple Pink Pink Pink Pink Purple Purple Purple\nBlack Green Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Green Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Green Green Green Green Green Black Purple Purple Purple Purple Purple Pink Pink Pink\nBlack Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Green Green Green Black Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange\nBlack Green Green Green Black Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange\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 Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Pink Pink Pink\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Pink Pink Pink\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Pink Pink Pink\nBlack Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink 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 Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue 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 Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Red Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Red Black Black\nBlack Black Black Black Black Brown Brown Gray Gray Gray Brown Red Black Black\nBlack Black Black Black Black Brown Brown Gray Gray Gray Brown Black Brown Brown\nBlack Black Black Black Black Red Brown Gray Gray Gray Gray Gray Gray Brown\nBlack Black Black Black Brown Brown Brown Red Red Gray Gray Gray Gray Brown\nBlack Black Black Black Brown Gray Gray Gray Red Gray Gray Gray Gray Red\nBlack Black Black Black Brown Gray Gray Gray Red Gray Gray Gray 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```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Yellow Black Black Black Black Black\nYellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Black Black Black Black Black Black Black\nYellow Red Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow 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 Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\n\nOutput:\nBlack Black Black Black Yellow Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Yellow Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow\nBlack Black Black Black Yellow Black Black Black Yellow Black\nYellow Yellow Yellow Yellow Red Yellow Yellow Yellow Green Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Yellow Black Black Black\nBlack Yellow Black Yellow Black Black Yellow Black Black Black\nYellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Green Yellow Yellow Red Yellow Yellow Yellow\nBlack Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Yellow 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\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nYellow Black Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Green Red 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 Yellow Black Black\nBlack Black Yellow Black Black\nBlack Black Yellow Yellow Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Yellow Black\nBlack Yellow Yellow Yellow Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow 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 Yellow Yellow Black\nBlack Black Black Yellow Yellow Black\nBlack Black Black Yellow Yellow Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Brown Black Black\nBlack Black Black Brown Black Black\nBlack Black Black Brown Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Pink Pink Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black\nBlack Black Yellow Black\nBlack Black Yellow Black\nBlack Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple 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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\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 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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red 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 Green Green\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\n\n\nDirectly provide the output grids corresponding to the given test input 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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Blue Blue Green Blue Blue\nBlue Red Green Green Yellow Red\nBlue Blue Green Blue Blue Red\nBlue Red Blue Yellow Yellow Blue\nRed Yellow Green Blue Red Blue\nRed Green Green Green Blue Green\nYellow Yellow Yellow Yellow Yellow Yellow\nRed Blue Red Blue Black Yellow\nBlack Blue Black Red Red Yellow\nYellow Yellow Yellow Yellow Blue Red\nBlack Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Blue Blue\nBlue Black Blue Blue Red Black\n\nOutput:\nBlack Black Blue Black Black Black\nBlack Brown Black Black Black Black\nBlack Black Brown Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Brown Black\nBrown Black Black Black Blue Black\n\n\nExample 2\nInput:\nYellow Red Yellow Blue Green\nBlue Green Red Red Green\nRed Blue Green Red Green\nGreen Yellow Red Yellow Red\nRed Red Red Blue Blue\nYellow Yellow Yellow Yellow Yellow\nBlue Blue Black Black Black\nBlack Black Blue Red Yellow\nBlue Yellow Blue Red Yellow\nYellow Yellow Red Black Yellow\nYellow Yellow Black Yellow Red\n\nOutput:\nBlack Brown Black Black Black\nBlack Black Brown Black Brown\nBrown Black Black Black Brown\nBrown Black Black Black Black\nBlack Black Black Black Blue\n\n\nExample 3\nInput:\nRed Yellow Yellow Yellow Blue Green Green\nGreen Green Red Blue Red Blue Yellow\nGreen Yellow Blue Red Green Green Green\nRed Green Yellow Yellow Blue Blue Blue\nRed Blue Yellow Red Red Yellow Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Yellow Yellow Black Blue Red Black\nRed Black Red Black Red Red Yellow\nRed Yellow Blue Black Red Black Red\nYellow Black Blue Red Blue Blue Black\nBlue Red Yellow Black Red Blue Blue\n\nOutput:\nBrown Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBrown Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Red Green Red Blue Green\nYellow Red Red Yellow Blue Red Red\nGreen Red Yellow Green Red Green Red\nYellow Red Yellow Green Blue Green Green\nGreen Yellow Yellow Red Blue Yellow Yellow\nRed Blue Blue Green Green Yellow Yellow\nRed Red Green Red Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Blue Red Black Black Yellow Blue\nYellow Black Black Yellow Yellow Blue Yellow\nRed Red Blue Yellow Blue Yellow Blue\nBlack Yellow Yellow Black Black Black Blue\nYellow Red Black Red Red Black Black\nBlue Black Yellow Blue Red Red Black\nBlue Red Blue Black Blue Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black\nBlack Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black\nBrown Black Black Black Blue Black Black\nBrown Black Black Black Black Black Black\nBrown 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 Black Black Black\nBlack Purple Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black\nPurple 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\nBlack Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange 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 Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Pink Black\nBlack Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nGray 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\n\n\nExample 2\nInput:\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 Red Black\nBlack Black Black Black Brown Yellow Brown Yellow Yellow Brown Brown Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Black Black\nBlack Black Black Black Yellow Yellow Yellow Brown Yellow Black Black Brown Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Brown Yellow Black Black Brown Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Black Black\nBlack Black Black Black Brown Yellow Brown Yellow Yellow Brown Brown Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Brown 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 Gray Black Black Black Black Black Black Black Black Gray Black Gray Black\nBlack Gray Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Gray Black Gray 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 Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Green\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Blue Black Black Black Black Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Gray Black Black Black\nBlack Gray Black Black Black Black Gray Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Gray\nBlack Black Gray Gray Gray Gray Black Gray Black Black\nBlack Black Gray Gray Gray Gray Black Gray Gray Black\nBlack Black Gray Gray Gray Gray Black Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Gray Black Black Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Blue\nBlack Black Black Black Blue Black Black Black Black Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Black Black Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black\nBlack Black Black Brown Black Black Black Black Black Black 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 Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Gray Black Black\nBlack Gray Black Black Black Black Black Black Gray Black Gray\nBlack Black Gray Black Black Black Black Gray Black Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Gray Black\nBlack Black Black Gray Black Black Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Gray Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Gray Black\nBlack Black Gray Gray Black Black Gray Gray Black Gray Black\nBlack Black Black Gray Black Black Black Black Black 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 Orange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Green Green Blue Blue Blue Blue Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Green Green Blue Blue Blue Blue Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Green Green Blue Blue Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Green Green Blue Blue Black Black Green Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Blue Blue Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Blue Blue Orange Orange 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 Black Black Black Black Black Black Brown Brown Blue Blue Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Blue Blue Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Blue Blue Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Blue Blue Orange Orange Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Brown Brown Red Red Red Red Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Brown Brown Red Red Red Red Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple 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 Purple Purple 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 Purple Purple Brown Brown Red Red Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Brown Brown Red Red 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Brown Brown Red Red Red Red Pink Pink Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Brown Brown Red Red Red Red Pink Pink Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple 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 Purple Purple 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 Purple Purple Brown Brown Red Red Red Red Pink Pink Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Brown Brown Red Red Red Red Pink Pink Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue 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 Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Blue Blue Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Blue Blue Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Pink Pink Green Green Purple Purple Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Pink Pink Green Green Purple Purple Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Red Red Pink Pink Green Green Green Green Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Red Red Pink Pink Green Green Green Green Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Red Red Pink Pink Green Green Green Green Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Red Red Pink Pink Green Green Green Green Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Pink Pink Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Pink Pink Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Brown Brown Blue Blue Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Brown Brown Blue Blue 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 Blue Blue 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 Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue 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 Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Brown Brown Blue Blue Gray Gray Gray Gray Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Brown Brown Blue Blue Gray Gray Gray Gray Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Pink Pink Green Green Purple Purple Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Pink Pink Green Green Purple Purple Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Red Red Pink Pink Green Green Green Green Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Red Red Pink Pink Green Green Green Green Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Red Red Pink Pink Green Green Green Green Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Pink Pink Red Red Pink Pink Green Green Green Green Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Pink Pink Green Green Purple Purple Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Pink Pink Green Green Purple Purple Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Brown Brown Blue Blue Gray Gray Gray Gray Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Brown Brown Blue Blue Gray Gray Gray Gray 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 Blue Blue 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 Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nYellow Yellow Yellow\nBlack Black Yellow\nBlack Black Yellow\n\nOutput:\nBlack Black Yellow\nBlack Black Yellow\nYellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black\nBrown Black Black\nBrown Black Black\n\nOutput:\nBrown Brown Black\nBlack Black Black\nBlack Black Black\n\n\nExample 3\nInput:\nBlack Black Black\nGray Black Black\nGray Gray Black\n\nOutput:\nGray Gray Black\nGray Black Black\nBlack Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red\nRed Red Red\nBlack 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 Red Black\nRed Red Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Purple Black Pink Pink Pink Black\nBlack Black Black Black Black Black Purple Purple Purple Pink Black Black Black\nBlack Black Black Black Black Black Black Purple Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink 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:\nBrown Brown Brown Brown Black Black\nBrown Black Brown Brown Black Black\nBrown Black Brown Brown Black Black\nBrown Brown Brown Brown Pink Pink\nBlack Black Black Black Pink Pink\nBlack Black Black Black Pink Pink\nBlack Black Black Black Pink Pink\n\n\nExample 2\nInput:\nRed Red Red Red Red Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Blue Blue Black Black Orange Black Black Black Black\nBlack Blue Blue Blue Black Black Black Orange Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Blue Blue Black\nBlue Blue Blue Blue\nBlack Blue Blue Black\nBlack Blue Blue Black\nBlue Blue Blue Blue\nBlack Orange Orange Black\nBlack Black Orange Black\nBlack Black Orange Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow 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 Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red 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:\nRed Red Red Red Red\nBlack Red Red Red Black\nBlack Red Red Red Black\nBlack Red Red Red 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 Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black\nGray Gray Gray Black Black\nBlack Brown Brown Black Black\nBlack Black Brown Brown Black\nBlack Black Black Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Green Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\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 Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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 Green Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Brown Brown Brown Yellow\nBlack Black Black Black Black Black Brown Brown Brown Yellow\nBlack Black Black Black Black Black Brown Brown Brown Yellow\nBlack Black Black Black Black Black Brown Brown Brown Yellow\nBlack Black Black Black Black Black Brown Brown Brown Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nYellow Yellow Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Green 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\nOutput:\nYellow Yellow Brown Brown Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Brown Brown Brown Brown Brown Yellow Yellow Yellow\nBlack Black Black Black Black Black Brown Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Green Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue 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 Green 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 Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Yellow\nBlack Black Black Black Black Black Brown Brown Brown Yellow\nBlack Black Black Black Black Black Brown Brown Brown Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Blue Blue Blue 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 Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue 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 Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow 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\nYellow Yellow Yellow Yellow Yellow Yellow 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\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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red 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\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 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 Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Red Red Red Red Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Red Red Red Red Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Red Red Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black 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 Black Black\nBlack Black 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 Black Black\nBlack Black 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 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 Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black 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 Black Black\nBlack Black 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 Black Black\nBlack Black 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 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 Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Black Black Black Brown Brown Brown Brown Brown Black Brown Brown Black\nBlack Brown Black Black Black Black Brown Black Black Brown Brown Brown Brown Black\nBlack Brown Black Black Black Black Brown Black Black Brown Brown Brown Brown Black\nBlack Brown Black Black Black Brown Brown Brown Brown Brown Black Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Brown 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 Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Green Black Black Green Green Green Green Green Black\nBlack Green Green Green Green Green Black Black Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Black Black Black Black Green Black\nBlack Green Green Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Black Black Green Green Green Black\nBlack Green Black Green Black Black Green Green Green Green Green 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 Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Black Black Black Black Black Gray Gray Gray Black Black\nBlack Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Black Black Gray Gray Gray Gray Gray 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 Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Black Red Red Red Black\nBlack Black Red Black Black Red Red Red Red Black Black\nBlack Red Black Black Black Black Black Red Red Red Black\nBlack Red Black Black Black Black Black Red Red Red Black\nBlack Red Black Black Black Black Black Red Red Red Black\nBlack Black Red Black Black Red Red Red Red Black Black\nBlack Red Red Red Red Red Black Red Red Red Black\nBlack Red Red Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Green Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Red Black Black Black Black\nBlack Black Black Black Black Black Black Green Pink Blue 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 Green Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Red Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Pink Green 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 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 Blue Blue Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Red Yellow Blue Black Black Black Black Black Black Black\nBlack Black Black Black Green Blue Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Yellow Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Blue Green 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 Black Black Black 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 Pink Red Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Black Black Black Black Black Black Black Black Black\nBlack Black Green Green 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 Black Black 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 Red Pink Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Pink Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Green Pink Blue Black Black Black Black\nBlack Black Black Black Black Black Black Red Pink Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Blue Pink Green Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Pink Red 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Red 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Red 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Red Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Red\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Red\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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\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\n\n\nDirectly provide the output grids corresponding to the given test input 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Orange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Orange Orange Orange Orange Black Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black\nOrange Orange Black Black Orange Orange Orange Orange Black Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black Black Black Orange Orange Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Orange Orange Orange Orange Black Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black\nOrange Orange Black Black Orange Orange Orange Orange Black Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Orange Orange Orange Orange Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Orange Orange Orange Orange Black Black Black Black Orange Orange Black Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nOrange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nOrange Orange Black Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nOrange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black\nOrange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black\nBlack Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black\n\nOutput:\nOrange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nOrange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nOrange Orange Black Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nOrange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black\nOrange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black\nBlack Black Yellow Yellow Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange 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\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 Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black\nPink Pink Black Black Black Black Black Black Pink Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black\nPink Pink Black Black Black Black Black Black Pink Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Purple Blue Brown Blue Red Purple Purple Brown Blue Purple Brown Purple Blue\nGray Gray Brown Purple Brown Purple Blue Purple Blue Red Gray Brown Purple Gray\nGray Purple Purple Blue Blue Purple Brown Purple Brown Blue Brown Purple Brown Blue\nPurple Purple Brown Red Purple Brown Brown Gray Red Brown Blue Purple Brown Purple\nPurple Brown Purple Purple Blue Purple Gray Blue Gray Red Gray Red Gray Purple\nGray Red Purple Purple Brown Blue Brown Purple Purple Gray Brown Red Brown Red\nBrown Blue Brown Brown Blue Blue Red Brown Red Purple Gray Brown Blue Purple\nBlack Brown Brown Gray Gray Red Purple Brown Gray Gray Purple Purple Gray Purple\nBlue Brown Purple Blue Gray Red Gray Blue Red Blue Blue Gray Purple Purple\nRed Brown Red Blue Blue Red Brown Blue Blue Purple Blue Red Blue Brown\nBrown Blue Purple Blue Brown Blue Brown Red Purple Brown Blue Blue Blue Gray\nBlue Purple Gray Gray Black Purple Blue Gray Gray Blue Gray Purple Blue Brown\nPurple Blue Blue Gray Gray Brown Purple Purple Gray Brown Blue Blue Red Blue\nBlue Blue Brown Purple Brown Red Red Purple Blue Blue Gray Purple Brown Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nPink Pink Black Brown Purple Brown Pink Purple Yellow Yellow\nPink Brown Pink Yellow Pink Blue Yellow Yellow Brown Black\nBlack Purple Brown Blue Brown Black Yellow Black Yellow Blue\nBlue Black Pink Pink Yellow Purple Purple Blue Yellow Black\nYellow Yellow Brown Blue Brown Black Yellow Yellow Pink Blue\nBlack Blue Pink Pink Brown Purple Brown Blue Yellow Yellow\nBlack Blue Purple Pink Black Blue Pink Black Yellow Brown\nBlack Black Purple Yellow Yellow Yellow Black Yellow Yellow Yellow\nBrown Yellow Yellow Purple Pink Yellow Yellow Black Blue Brown\nBlack Pink Pink Yellow Yellow Yellow Yellow Yellow Black Blue\nPink Pink Purple Purple Pink Brown Yellow Yellow Purple Brown\n\nOutput:\nBlue Blue Black Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Black Blue Black Blue Blue\nBlue Black Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Black Blue Blue Black Blue Blue\nBlack Black Blue Blue Blue Blue Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Black Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Blue Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBrown Pink Brown Pink Brown Gray Blue Pink Black Purple\nPurple Purple Blue Black Brown Blue Blue Brown Black Black\nGray Blue Blue Brown Purple Purple Brown Brown Brown Brown\nBlack Brown Gray Brown Blue Black Black Black Pink Black\nGray Blue Black Pink Black Blue Brown Pink Pink Gray\nBrown Gray Purple Black Black Black Gray Gray Purple Brown\nBlack Pink Purple Brown Black Purple Gray Black Brown Gray\nBrown Gray Pink Black Black Blue Brown Gray Black Pink\nBrown Blue Brown Black Brown Brown Blue Black Black Pink\nBlack Gray Purple Brown Gray Brown Purple Brown Pink Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Black Blue\nBlue Blue Blue Black Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Black Black Black Blue Black\nBlue Blue Black Blue Black Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Blue\nBlack Blue Blue Blue Black Blue Blue Black Blue Blue\nBlue Blue Blue Black Black Blue Blue Blue Black Blue\nBlue Blue Blue Black Blue Blue Blue Black Black Blue\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Orange Gray Gray Blue Blue Gray Pink Black Gray Green\nPink Orange Pink Orange Orange Orange Gray Gray Gray Green Black\nGray Blue Pink Pink Orange Orange Pink Blue Orange Black Blue\nGray Blue Gray Green Green Gray Blue Orange Green Pink Gray\nPink Pink Gray Gray Green Gray Blue Gray Pink Gray Blue\nGray Gray Green Pink Gray Pink Gray Pink Gray Black Gray\nBlue Black Blue Orange Pink Gray Green Orange Pink Orange Pink\nGray Green Gray Gray Gray Green Black Green Pink Gray Green\nOrange Orange Gray Orange Green Green Black Gray Green Blue Orange\nPink Gray Gray Pink Green Gray Gray Gray Black Orange Blue\nPink Green Orange Green Black Green Black Orange Gray Black Gray\nGray Green Blue Orange Pink Gray Green Gray Blue Black Blue\nOrange Gray Pink Orange Gray Orange Black Blue Orange Pink Gray\nOrange Orange Orange Gray Orange Blue Orange Green Black 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```\nBlue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue\nBlue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue\nBlue Blue Blue Blue Black Blue Black Blue Blue Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue\nBlue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue 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 Black Black\nBlack Black Black Gray Black Black Black Black Black Gray\nBlack Black Black Gray Black Black Black Black Gray Gray\nBlack Black Black Gray Gray Gray Black Black Gray 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 Yellow Yellow Yellow Black Gray Black\nBlack Black Black Black Yellow Black Black Gray Gray Black\nBlack Black Black Black Yellow Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Black Black Gray Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Purple\nBlack Black Black Purple Black Black Black Black Purple Purple\nBlack Black Black Purple Purple Purple Black Black Purple Black\nBlack Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Purple Black\nBlack Black Black Black Gray Black Black Purple Purple Black\nBlack Black Black Black Gray Purple Purple Purple Purple Black\nBlack Black Black Black Black Purple Black Black Purple Black\n\n\nExample 2\nInput:\nYellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Yellow Black Black Black\nBlack Yellow Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Gray Black Black Black Yellow Black Black Black\nBlack Gray Gray Black Pink Black Black Black Black Black\nBlack Gray Black Pink Pink Black Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Gray Black\nBlack Black Black Black Pink Pink Black Black Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray\n\nOutput:\nGray Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Gray Black Black Black\nBlack Gray Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Purple Black Black Black Gray Black Black Black\nBlack Purple Purple Black Orange Black Black Black Black Black\nBlack Purple Black Orange Orange Black Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Purple Black\nBlack Black Black Black Orange Orange Black Black Purple Black\nBlack Black Black Black Black Black Black Black Purple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Pink Black Black Gray Gray Black Pink Pink Black\nBlack Pink Black Black Black Gray Black Black Pink Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray 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 Orange Black\nBlack Orange Black Black Purple Purple Black Orange Orange Black\nBlack Orange Black Black Black Purple Black Black Orange Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple 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 Yellow\nBlack Black Black Black Black Gray Gray Black Yellow Yellow\nBlack Black Black Black Black Black Gray Black Yellow Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Purple Purple Black Gray Gray\nBlack Black Black Black Black Black Purple Black Gray Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Black Black Brown Pink Black Brown Pink Yellow Purple\nPurple Green Black Black Yellow Black Blue Orange Black Black\nOrange Black Yellow Orange Black Black Black Black Purple Green\nBlack Black Black Black Black Purple Black Black Pink Black\nBlack Red Black Black Black Black Black Black Black Pink\nBlack Gray Black Black Orange Black Orange Purple Black Black\nBlue Black Black Black Purple Black Black Blue Yellow Black\nPurple Black Black Pink Black Black Pink Brown Black Black\nBlack Black Red Black Yellow Pink Red Yellow Orange Black\nBlack Orange Red Black Orange Red Red Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Red Red Red Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Red Red Red Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Red Red Red Yellow Yellow Yellow\nPurple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow\nPurple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow\nPurple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Yellow Yellow Yellow\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Black Black Black\n\n\nExample 2\nInput:\nBrown Brown Black Black Brown Red Black Red Black Orange\nBlack Orange Black Yellow Black Black Orange Black Purple Black\nPink Gray Black Purple Blue Black Black Black Purple Black\nBlack Brown Black Black Black Black Yellow Black Black Black\nPink Black Brown Red Black Black Black Yellow Purple Black\nGreen Pink Green Black Black Black Blue Purple Black Pink\nBlack Blue Black Black Black Black Black Black Black Black\nBrown Purple Black Black Black Black Brown Black Black Black\nBlack Yellow Green Blue Black Black Black Black Black Blue\nBlack Black Black Orange Black Orange Pink Blue Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Purple Purple Purple Purple Purple Purple Blue Blue Blue Orange Orange Orange Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Purple Purple Purple Purple Purple Purple Blue Blue Blue Orange Orange Orange Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Purple Purple Purple Purple Purple Purple Blue Blue Blue Orange Orange Orange Purple Purple Purple Purple Purple Purple\nPink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple\nPink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple\nPink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Pink Pink Pink Green Green Green Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Pink Pink Pink Green Green Green Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Pink Pink Pink Green Green Green Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple\nGreen Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Green Green Green Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Green Green Green Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Green Green Green Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue\nBrown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue\nBrown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue\nBrown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Blue Blue Blue\nBrown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Blue Blue Blue\nBrown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Blue Blue Blue\n\n\nExample 3\nInput:\nYellow Black Black Gray Pink Blue Black Red Black Black\nBlack Orange Black Black Black Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Yellow Blue Brown Orange Black Black Black Black Black\nBlack Gray Black Black Black Brown Black Black Black Black\nPurple Blue Black Black Black Black Black Brown Gray Black\nBlack Yellow Green Yellow Brown Black Black Black Black Red\nBlack Black Black Black Gray Yellow Brown Gray Black Black\nBlack Black Black Black Black Black Pink Black Pink Black\nGreen Black Black Black Black Black Orange Black Black Black\n\nOutput:\nYellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\nYellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\nYellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red\nPurple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red\nPurple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red\nPurple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nPurple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nPurple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Black Blue Black Black Black Gray Black\nBlack Pink Black Gray Black Black Black Purple Black Orange\nPurple Black Black Green Red Black Purple Black Black Black\nYellow Black Blue Black Black Brown Black Black Black Black\nRed Black Black Black Black Orange Blue Yellow Purple Black\nGray Gray Yellow Black Orange Black Brown Orange Black Black\nBlack Black Pink Black Black Pink Black Brown Black Black\nBlack Black Black Black Black Gray Blue Purple Pink Black\nBlack Purple Pink Black Gray Black Green Black Red Black\nBlack Black Black Black Black Orange Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Purple Purple Purple\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Purple Purple Purple\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Red Red Red\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Red Red Red\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Gray Gray Gray Gray Gray Gray Green Green Green Green Green Green Red Red Red\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Red Red Red\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Red Red Red\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Red Red Red\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Red Red Red\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Red Red Red\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Pink Orange Yellow Purple Purple Gray Purple\nOrange Orange Gray Purple Green Brown Pink Yellow\nPink Brown Orange Red Green Orange Pink Yellow\nYellow Green Blue Orange Green Yellow Purple Gray\nPink Green Pink Orange Purple Yellow Gray Yellow\nBrown Orange Gray Green Yellow Green Brown Pink\nPurple Orange Purple Orange Gray Orange Blue Blue\nGray Brown Orange Blue Brown Purple Purple Green\n\nOutput:\nPurple Green Gray Red Purple Purple Blue Purple\nGray Gray Blue Purple Pink Brown Green Red\nGreen Brown Gray Yellow Pink Gray Green Red\nRed Pink Orange Gray Pink Red Purple Blue\nGreen Pink Green Gray Purple Red Blue Red\nBrown Gray Blue Pink Red Pink Brown Green\nPurple Gray Purple Gray Blue Gray Orange Orange\nBlue Brown Gray Orange Brown Purple Purple Pink\n\n\nExample 2\nInput:\nPink Blue Brown Pink Green Purple Blue\nOrange Gray Gray Orange Yellow Pink Purple\nYellow Red Brown Blue Yellow Orange Red\nBlue Orange Brown Orange Orange Blue Purple\nRed Brown Purple Brown Yellow Green Gray\nGreen Blue Purple Pink Blue Red Pink\nPink Purple Brown Green Purple Pink Gray\n\nOutput:\nGreen Orange Brown Green Pink Purple Orange\nGray Blue Blue Gray Red Green Purple\nRed Yellow Brown Orange Red Gray Yellow\nOrange Gray Brown Gray Gray Orange Purple\nYellow Brown Purple Brown Red Pink Blue\nPink Orange Purple Green Orange Yellow Green\nGreen Purple Brown Pink Purple Green Blue\n\n\nExample 3\nInput:\nOrange Blue Blue Blue Pink Yellow Blue\nGray Orange Purple Brown Purple Brown Blue\nBrown Purple Yellow Green Orange Pink Purple\nYellow Pink Orange Orange Gray Blue Orange\nYellow Orange Green Gray Pink Gray Purple\nRed Gray Purple Red Purple Green Red\nGreen Pink Blue Yellow Brown Gray Brown\n\nOutput:\nGray Orange Orange Orange Green Red Orange\nBlue Gray Purple Brown Purple Brown Orange\nBrown Purple Red Pink Gray Green Purple\nRed Green Gray Gray Blue Orange Gray\nRed Gray Pink Blue Green Blue Purple\nYellow Blue Purple Yellow Purple Pink Yellow\nPink Green Orange Red Brown Blue Brown\n\n\nHere is the input grid for the test example:\nInput:\nGray Pink Pink Gray Orange Green Purple Yellow Blue\nPink Gray Pink Blue Yellow Brown Purple Gray Gray\nGray Pink Purple Red Purple Orange Brown Gray Purple\nGreen Gray Brown Pink Green Purple Orange Red Orange\nPink Pink Yellow Brown Gray Purple Brown Purple Green\nBrown Brown Blue Red Orange Yellow Yellow Blue Purple\nGray Brown Orange Purple Red Blue Blue Red Green\nBrown Orange Orange Orange Pink Green Pink Yellow Pink\nBlue Pink Pink Blue Green Red Blue 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```\nBlue Green Green Blue Gray Pink Purple Red Orange\nGreen Blue Green Orange Red Brown Purple Blue Blue\nBlue Green Purple Yellow Purple Gray Brown Blue Purple\nPink Blue Brown Green Pink Purple Gray Yellow Gray\nGreen Green Red Brown Blue Purple Brown Purple Pink\nBrown Brown Orange Yellow Gray Red Red Orange Purple\nBlue Brown Gray Purple Yellow Orange Orange Yellow Pink\nBrown Gray Gray Gray Green Pink Green Red Green\nOrange Green Green Orange Pink Yellow Orange Gray Yellow\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:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Red Red Red Red Red Red Red Red 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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:\nGreen Green Green Green Green Red Red Red Red Red Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Red Red Red Red Red Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Red Red Red Red Red Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Red Red Red Red Red Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Red Red Red Red Red Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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:\nRed Red Red Red Red Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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```\nBlue Blue Blue Blue Blue Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Green Green Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink 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 Yellow Yellow Yellow Yellow Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\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\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Orange Black Black Black Black 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 Black Black Black Black\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 Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 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 Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black 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 Black 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 Black 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 Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Blue Blue Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Blue Blue Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack 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 Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Brown Brown 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 Brown Brown 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 Brown Brown 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 Brown Brown 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 Brown Brown Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 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 Brown Brown 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Red Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Purple Purple\nPurple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Red Purple Red Purple Purple Purple Red Red Red Purple Purple\nPurple Purple Purple Red Red Red Purple Purple Purple Red Purple Red Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red 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\nOutput:\nPurple Purple Purple Purple Green Purple Purple Purple Purple Purple Green Purple Purple Purple\nPurple Purple Purple Purple Green Purple Purple Purple Purple Red Red Red Purple Purple\nGreen Green Green Green Green Green Green Green Green Red Green Red Green Green\nPurple Purple Purple Purple Green Purple Purple Purple Purple Red Red Red Purple Purple\nPurple Purple Purple Red Red Red Purple Purple Purple Purple Green Purple Purple Purple\nGreen Green Green Red Green Red Green Green Green Red Red Red Green Green\nGreen Green Green Red Red Red Green Green Green Red Green Red Green Green\nPurple Purple Purple Purple Green Purple Purple Purple Purple Red Red Red Purple Purple\nPurple Purple Purple Purple Green Purple Purple Purple Purple Purple Green Purple Purple Purple\nPurple Purple Purple Purple Green Purple Purple Purple Purple Purple Green Purple Purple Purple\n\n\nExample 2\nInput:\nPurple 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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Red Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Purple\nPurple 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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Purple\nGreen Green Green Green Green Green Green Green Green Red Green Red Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Purple Purple\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Red Red Red Purple Purple Purple Red Red Red Purple\nPurple Red Purple Red Purple Purple Purple Red Purple Red Purple\nPurple Red Red Red Purple Purple Purple Red Red Red Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Green Purple Purple Purple Purple Purple Green Purple Purple\nPurple Purple Green Purple Purple Purple Purple Purple Green Purple Purple\nPurple Purple Green Purple Purple Purple Purple Purple Green Purple Purple\nPurple Purple Green Purple Purple Purple Purple Purple Green Purple Purple\nPurple Purple Green Purple Purple Purple Purple Purple Green Purple Purple\nPurple Purple Green Purple Purple Purple Purple Purple Green Purple Purple\nPurple Red Red Red Purple Purple Purple Red Red Red Purple\nGreen Red Green Red Green Green Green Red Green Red Green\nPurple Red Red Red Purple Purple Purple Red Red Red Purple\nPurple Purple Green Purple Purple Purple Purple Purple Green Purple Purple\nPurple Purple Green Purple Purple Purple Purple Purple Green Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\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 Red Red Red Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Red Purple Red Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Red Red Red 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\nDirectly provide the output grids corresponding to the given test input 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 Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Red Green Red Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Red Red Red Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Yellow Black Black Black Black Black Black\nBlack Black Green Pink Pink Black Black Black Black Black\nBlack Black Green Green Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Yellow Yellow Brown Brown Brown\nBlack Black Purple Purple Black Black Yellow Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Black Black\nBlack Black Black Green Green Green Green\nBlack Black Black Orange Green Green Green\nBlack Green Green Green Orange Orange Black\nBlack Green Green Green Red Red Orange\n\nOutput:\nBlack Black Black Black Orange Black Black\nBlack Black Black Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Red Red Red Black Black\nBlack Red Red Red Black Black\nBlack Black Red Red Black Black\nBlack Black Red Red Black Black\nBlack Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Black\nBlack Blue Blue Blue Blue Black\nBlack Blue Blue Black Black Black\nBlack Black Black Black Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\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 Yellow Yellow\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 Black\nBlack Red Black Black Black\nBlack Red Black Black Black\nRed Black Black Orange Orange\nBlack Black Black Orange Orange\nBlack Orange Yellow Orange Orange\nBlack Orange Orange Black Black\nBlack Orange Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Orange Orange\nBlack Black Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Pink Pink\nBlack Black 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:\nBlue Blue\nRed Blue\n\nOutput:\nGreen Green Green Green\nYellow Green Yellow Green\nGreen Green Green Green\nYellow Green Yellow Green\n\n\nExample 2\nInput:\nBlue Red\nRed Red\n\nOutput:\nGreen Yellow Green Yellow\nYellow Yellow Yellow Yellow\nGreen Yellow Green Yellow\nYellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nRed Red\nRed Red\n\nOutput:\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nRed Red\nBlue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow\nGreen Green Green Green\nYellow Yellow Yellow Yellow\nGreen Green 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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Brown Brown Brown Black\nBlack Orange Orange Orange Brown Brown Brown Black Black Red Black Black Black\nBlack Orange Orange Orange Black Black Orange Orange Orange Red Orange Orange Black\nBlack Brown Black Orange Black Purple Orange Orange Orange Red Black Orange Black\nBlack Brown Black Black Purple Purple Purple Black Orange Black Orange Orange Black\nBlack Black Black Orange Yellow Black Pink Pink Orange Orange Orange Blue Black\nBlack Black Yellow Orange Yellow Purple Black Pink Black Red Blue Blue Black\nBlack Black Orange Orange Black Black Pink Pink Black Red Blue Black Black\nBlack Purple Orange Blue Blue Pink Green Green Green Red Black Black Black\nBlack Purple Black Blue Blue Pink Black Yellow Black Purple Black Black Black\nBlack Purple Yellow Yellow Black Pink Black Yellow Purple Purple Purple Black Black\nBlack Black Yellow Yellow Black Yellow Black Yellow Yellow Purple Black Black Black\nBlack Black Green Green Green Yellow Black Black Red Black Purple Black Black\nBlack Black Green Green Green Gray Gray Gray Red Purple Purple Purple Black\nBlack Black Black Green Gray Gray Red Red Red Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Orange Blue Blue Pink Green Green Green Red Black Black Black\nBlack Purple Black Blue Blue Pink Black Yellow Black Purple Black Black Black\nBlack Purple Yellow Yellow Black Pink Black Yellow Purple Purple Purple Black Black\nBlack Black Yellow Yellow Black Yellow Black Yellow Yellow Purple Black Black Black\nBlack Black Green Green Green Yellow Black Black Red Black Purple Black Black\nBlack Black Green Green Green Gray Gray Gray Red Purple Purple Purple Black\nBlack Black Black Green Gray Gray Red Red Red Black Purple 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 Yellow Yellow Yellow Pink Pink Pink Black Black Purple Purple Black\nBlack Yellow Yellow Yellow Pink Pink Black Red Red Purple Purple Black\nBlack Purple Purple Brown Pink Pink Pink Blue Blue Blue Black Black\nBlack Purple Purple Brown Black Black Black Gray Gray Gray Black Black\nBlack Purple Purple Pink Black Black Black Pink Pink Pink Black Black\nBlack Black Yellow Pink Brown Blue Blue Pink Pink Pink Blue Black\nBlack Yellow Yellow Yellow Black Black Black Pink Black Pink Blue Black\nBlack Black Yellow Black Purple Black Gray Gray Blue Blue Blue Black\nBlack Black Black Black Orange Orange Gray Gray Blue Blue Black Black\nBlack Green Green Green Pink Pink Black Black Gray Gray Black Black\nBlack Green Black Green Pink Pink Brown Brown Brown Blue Blue Black\nBlack Black Blue Green Black Yellow Yellow Black Brown Blue Blue Black\nBlack Blue Black Green Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Purple Black Gray Gray Blue Blue Blue Black\nBlack Black Black Black Orange Orange Gray Gray Blue Blue Black Black\nBlack Green Green Green Pink Pink Black Black Gray Gray Black Black\nBlack Green Black Green Pink Pink Brown Brown Brown Blue Blue Black\nBlack Black Blue Green Black Yellow Yellow Black Brown Blue Blue Black\nBlack Blue Black Green Black Black Brown Brown Brown 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\nBlack Black Yellow Black Black Red Red Red Black Red Red Black\nBlack Yellow Yellow Yellow Green Black Brown Black Gray Red Red Black\nBlack Black Yellow Black Green Brown Brown Brown Gray Black Gray Black\nBlack Pink Pink Pink Green Black Brown Black Gray Blue Gray Black\nBlack Purple Pink Brown Purple Blue Blue Blue Blue Blue Gray Black\nBlack Purple Pink Brown Purple Blue Black Blue Brown Black Yellow Black\nBlack Brown Pink Black Purple Blue Blue Blue Brown Brown Yellow Black\nBlack Brown Black Yellow Yellow Yellow Orange Orange Brown Black Black Black\nBlack Brown Black Yellow Yellow Black Orange Orange Yellow Yellow Yellow Black\nBlack Orange Orange Yellow Yellow Yellow Orange Orange Black Black Black Black\nBlack Black Gray Orange Gray Gray Green Green Green Blue Blue Black\nBlack Gray Gray Orange Gray Gray Green Green Green Gray Black Black\nBlack Black Black Orange Orange Orange Red Brown Black Gray Black Black\nBlack Black Black Black Blue Black Red Red Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Yellow Yellow Yellow Orange Orange Brown Black Black Black\nBlack Brown Black Yellow Yellow Black Orange Orange Yellow Yellow Yellow Black\nBlack Orange Orange Yellow Yellow Yellow Orange Orange Black Black Black Black\nBlack Black Gray Orange Gray Gray Green Green Green Blue Blue Black\nBlack Gray Gray Orange Gray Gray Green Green Green Gray Black Black\nBlack Black Black Orange Orange Orange Red Brown Black Gray Black Black\nBlack Black Black Black Blue Black Red Red Gray Gray Gray 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 Pink Pink Pink Black Black Gray Gray Gray Yellow Yellow Red Black Black\nBlack Pink Pink Pink Black Green Green Black Gray Black Purple Orange Orange Black\nBlack Black Black Black Brown Brown Brown Black Purple Black Purple Orange Orange Black\nBlack Brown Blue Blue Black Black Black Black Purple Black Purple Black Black Black\nBlack Brown Black Black Brown Green Green Green Purple Black Red Red Red Black\nBlack Black Black Brown Brown Brown Black Green Black Green Red Red Red Black\nBlack Black Black Orange Orange Pink Purple Purple Black Green Green Black Orange Black\nBlack Blue Blue Orange Orange Black Purple Black Black Green Green Black Orange Black\nBlack Blue Blue Black Black Black Pink Black Black Black Green Black Orange Black\nBlack Black Black Pink Black Brown Brown Purple Red Red Red Blue Blue Black\nBlack Black Black Pink Black Black Brown Purple Gray Gray Blue Blue Blue Black\nBlack Orange Orange Pink Black Black Brown Purple Black Black Black Blue Blue 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 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 Orange Orange Pink Purple Purple Black Green Green Black Orange Black\nBlack Blue Blue Orange Orange Black Purple Black Black Green Green Black Orange Black\nBlack Blue Blue Black Black Black Pink Black Black Black Green Black Orange Black\nBlack Black Black Pink Black Brown Brown Purple Red Red Red Blue Blue Black\nBlack Black Black Pink Black Black Brown Purple Gray Gray Blue Blue Blue Black\nBlack Orange Orange Pink Black Black Brown Purple Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Purple Black\nPurple Purple Purple Purple Purple Purple\nBlack Purple Black Black Purple Black\nBlack Purple Black Black Purple Black\nPurple Purple Purple Purple Purple Purple\nBlack Purple Black Black Purple Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Orange Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange\nOrange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Black Orange\nOrange Orange Orange Orange Black Orange\nBlack Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Black Gray Black Black\nBlack Gray Black Gray Gray Gray\nGray Gray Gray Gray Black Black\nGray Gray Gray Black Black Gray\nBlack Gray Black Gray Gray Gray\nBlack Gray Black Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink 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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Black Pink Pink Black\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black\nPink Pink Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink\nBlack Pink Black Black 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\nPurple Blue Blue Pink Black Pink Black Black Black\nBlue Gray Brown Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Purple 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 Brown Black Black Black\nBlack Black Black Black Black Black Black Orange Black\nPink Black Black Black Black Black Black Orange Black\n\nOutput:\nOrange\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Black Black Black\nPink Gray Black Black Black Black Black Black\nBlack Black Black Yellow Black Blue Blue Blue\nBlack Black Black Blue Black Blue Black Blue\nBlack Black Black Black Black Blue Blue Blue\nBlack Pink Black Green Black Black Black Green\n\nOutput:\nOrange\n\n\nExample 3\nInput:\nBlack Black Yellow Blue Blue Black Black\nBlack Black Black Blue Gray Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Red Brown Black Black Black Black\nBlack Black Black Black Black Black Black\nGreen Black Orange Green Black Black Black\nBlack Black Black Yellow Black Black Black\n\nOutput:\nOrange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Blue Green Black Black Black Black Black Black\nBlack Blue Black Black 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 Pink\nBlack Black Black Black 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 Gray\nBlack Black Black Black Black Black Gray Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Black Pink Pink Pink Black\nPink Pink Pink Pink Black Black\nBlack Pink Black Black Black Pink\nBlack Pink Black Pink Black Black\nBlack Black Pink Black Black Pink\nBlack Black Pink Black Pink Pink\n\nOutput:\nBlack Black Pink Black Pink Pink\nBlack Black Pink Black Black Pink\nBlack Pink Black Pink Black Black\nBlack Pink Black Black Black Pink\nPink Pink Pink Pink Black Black\nPink Black Pink Pink Pink Black\nPink Black Pink Pink Pink Black\nPink Pink Pink Pink Black Black\nBlack Pink Black Black Black Pink\nBlack Pink Black Pink Black Black\nBlack Black Pink Black Black Pink\nBlack Black Pink Black Pink Pink\n\n\nExample 2\nInput:\nYellow Yellow Yellow Black Yellow\nYellow Black Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow\nYellow Black Yellow Yellow Black\nBlack Yellow Black Black Yellow\n\nOutput:\nBlack Yellow Black Black Yellow\nYellow Black Yellow Yellow Black\nYellow Yellow Black Yellow Yellow\nYellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow\nYellow Yellow Yellow Black Yellow\nYellow Black Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow\nYellow Black Yellow Yellow Black\nBlack Yellow Black Black Yellow\n\n\nExample 3\nInput:\nBrown Black Brown Black Brown Black Black\nBlack Black Black Brown Black Brown Brown\nBlack Black Black Black Brown Black Black\nBlack Brown Brown Black Brown Brown Brown\nBlack Black Brown Black Black Brown Brown\n\nOutput:\nBlack Black Brown Black Black Brown Brown\nBlack Brown Brown Black Brown Brown Brown\nBlack Black Black Black Brown Black Black\nBlack Black Black Brown Black Brown Brown\nBrown Black Brown Black Brown Black Black\nBrown Black Brown Black Brown Black Black\nBlack Black Black Brown Black Brown Brown\nBlack Black Black Black Brown Black Black\nBlack Brown Brown Black Brown Brown Brown\nBlack Black Brown Black Black Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Pink Black Pink Black Black\nBlack Pink Black Black Pink Black Black\nBlack Pink Pink Pink Black Black Pink\nPink Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black\nPink Black Pink Black Black Pink Pink\nBlack Pink 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```\nBlack Pink Black Black Black Pink Pink\nPink Black Pink Black Black Pink Pink\nBlack Black Pink Pink Black Black Black\nPink Black Black Pink Pink Black Black\nBlack Pink Pink Pink Black Black Pink\nBlack Pink Black Black Pink Black Black\nBlack Black Pink Black Pink Black Black\nBlack Black Pink Black Pink Black Black\nBlack Pink Black Black Pink Black Black\nBlack Pink Pink Pink Black Black Pink\nPink Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black\nPink Black Pink Black Black Pink Pink\nBlack Pink Black Black Black 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 Brown Black Black Black Black Brown Black\nBlack Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black\nBlack Brown Black Black Black Black Orange 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Black Brown Brown Black Black\nBlack Black Brown Brown Black Brown Brown Black Black\nBlack Black Brown Brown Black Brown Brown Black Black\nBlack Black Brown Brown Black Brown Brown Black Black\nBlack Black Brown Brown Black Brown Brown Black Black\nBlack Black Black Brown Black Brown Black Black Black\nBlack Black Black Brown Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Yellow Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Black Gray Black Black Gray Black Gray Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Red 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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Black Gray Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlue Black Black Black Black Blue\nBlack Black Brown Black Black Black\nBlack Black Brown Brown Brown Black\nBlack Brown Brown Brown Black Black\nBlack Black Black Brown Black Black\nGreen Black Black Black Black Green\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Pink\nBlack Black Black Black Black Blue Blue Black Black Orange\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Orange Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Brown Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange\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 Green Green Green Green Green Black\nBlack Black Black Black Green Yellow Yellow Yellow Green Black\nBlack Black Black Black Green Yellow Yellow Yellow Green Black\nBlack Black Black Black Green Yellow Yellow Yellow Green Black\nBlack Black Black Black Green Yellow Yellow Yellow Green Black\nBlack Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black\nRed Yellow Yellow Yellow Yellow Black Black Black Blue Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Purple\nBlack Orange Yellow Yellow Yellow Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black\nGreen Yellow Yellow Yellow Yellow Green Black Black Black Black\nGreen Yellow Yellow Yellow Yellow Green Black Black Black Black\nGreen Yellow Yellow Yellow Yellow Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Pink Black Black Black Black Black Black Black Blue\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Blue Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Brown Black Black\nBlack Black Yellow Yellow Yellow Yellow Orange Black Black Black\nBlack Black Black Black Black Black Black Purple Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Black Black Black\nBlack Green Yellow Yellow Yellow Yellow Green Black Black Black\nBlack Green Yellow Yellow Yellow Yellow Green Black Black Black\nBlack Green Yellow Yellow Yellow Yellow Green Black Black Black\nBlack Green Yellow Yellow Yellow Yellow Green Black Black Black\nBlack Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Gray Black Green Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Orange Black\nBlack Black Black Black Pink Brown Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Orange Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\nGreen Yellow Yellow Green Black Black Black Black Black Black\nGreen Yellow Yellow Green Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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\nGray Gray Yellow Yellow\nGray Gray Yellow Yellow\nBlack Gray Black Black\n\nOutput:\nGray Gray Yellow Yellow\nBlack Gray Black Black\nBlack Gray Black Black\nGray Gray Yellow Yellow\n\n\nExample 2\nInput:\nPurple Purple Brown Orange Orange Black Black\nBlack Black Black Orange Black Blue Blue\nBlack Black Black Orange Purple Purple Black\nBlack Black Black Orange Purple Purple Black\nBlack Black Black Orange Black Blue Blue\nPurple Purple Brown Orange Orange Black Black\n\nOutput:\nBlack Black Black Orange Purple Purple Black\nBlack Black Black Orange Black Blue Blue\nPurple Purple Brown Orange Orange Black Black\nPurple Purple Brown Orange Orange Black Black\nBlack Black Black Orange Black Blue Blue\nBlack Black Black Orange Purple Purple Black\n\n\nExample 3\nInput:\nBlue Black Black Black\nBlue Blue Black Black\nBlack Brown Pink Green\nBlack Brown Pink Green\nBlue Blue Black Black\nBlue Black Black Black\n\nOutput:\nBlack Brown Pink Green\nBlue Blue Black Black\nBlue Black Black Black\nBlue Black Black Black\nBlue Blue Black Black\nBlack Brown Pink Green\n\n\nHere is the input grid for the test example:\nInput:\nRed Orange Blue Blue Blue Orange Red\nRed Yellow Yellow Blue Yellow Yellow Red\nRed Yellow Yellow Blue Yellow Yellow Red\nRed Orange Blue Blue Blue 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```\nRed Yellow Yellow Blue Yellow Yellow Red\nRed Orange Blue Blue Blue Orange Red\nRed Orange Blue Blue Blue Orange Red\nRed Yellow Yellow Blue Yellow Yellow Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Green Green Black Black Black Black Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Green Green\nGreen Green Green Green Black Black Black Black Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Green Green\nGreen Green Green Green Green Green Green Green Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange\nGreen Green Green Green Green Green Green Green Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange\nGreen Green Green Green Orange Orange Orange Orange Black Black Green Green Orange Orange Green Green Black Black Orange Orange Green Green Black Black\nGreen Green Green Green Orange Orange Orange Orange Black Black Green Green Orange Orange Green Green Black Black Orange Orange Green Green Black Black\nOrange Orange Orange Orange Green Green Green Green Orange Orange Green Green Orange Orange Green Green Black Black Green Green Green Green Orange Orange\nOrange Orange Orange Orange Green Green Green Green Orange Orange Green Green Orange Orange Green Green Black Black Green Green Green Green Orange Orange\nOrange Orange Orange Orange Orange Orange Green Green Green Green Black Black Black Black Green Green Orange Orange Green Green Orange Orange Green Green\nOrange Orange Orange Orange Orange Orange Green Green Green Green Black Black Black Black Green Green Orange Orange Green Green Orange Orange Green Green\nBlack Black Green Green Green Green Orange Orange Green Green Green Green Green Green Orange Orange Green Green Green Green Green Green Green Green\nBlack Black Green Green Green Green Orange Orange Green Green Green Green Green Green Orange Orange Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Green Green Orange Orange Green Green Orange Orange Orange Orange Green Green Orange Orange Green Green Green Green Orange Orange\nOrange Orange Orange Orange Green Green Orange Orange Green Green Orange Orange Orange Orange Green Green Orange Orange Green Green Green Green Orange Orange\nGreen Green Green Green Green Green Green Green Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nOrange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Orange Orange\nOrange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green\nOrange Orange Orange Orange Green Green Green Green Black Black Orange Orange Green Green Orange Orange Black Black Green Green Orange Orange Black Black\nOrange Orange Orange Orange Green Green Green Green Black Black Orange Orange Green Green Orange Orange Black Black Green Green Orange Orange Black Black\nGreen Green Green Green Orange Orange Orange Orange Green Green Orange Orange Green Green Orange Orange Black Black Orange Orange Orange Orange Green Green\nGreen Green Green Green Orange Orange Orange Orange Green Green Orange Orange Green Green Orange Orange Black Black Orange Orange Orange Orange Green Green\nGreen Green Green Green Green Green Orange Orange Orange Orange Black Black Black Black Orange Orange Green Green Orange Orange Green Green Orange Orange\nGreen Green Green Green Green Green Orange Orange Orange Orange Black Black Black Black Orange Orange Green Green Orange Orange Green Green Orange Orange\nBlack Black Orange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Orange Orange Green Green Orange Orange Green Green Green Green Orange Orange Green Green Orange Orange Orange Orange Green Green\nGreen Green Green Green Orange Orange Green Green Orange Orange Green Green Green Green Orange Orange Green Green Orange Orange Orange Orange Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nGreen Green Orange Orange Green Green Green Green Orange Orange Green Green Green Green Green Green Green Green Orange Orange\nGreen Green Orange Orange Green Green Green Green Orange Orange Green Green Green Green Green Green Green Green Orange Orange\nGreen Green Green Green Green Green Green Green Orange Orange Black Black Green Green Black Black Orange Orange Green Green\nGreen Green Green Green Green Green Green Green Orange Orange Black Black Green Green Black Black Orange Orange Green Green\nGreen Green Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Orange Orange Black Black Green Green Orange Orange Black Black Black Black Green Green Orange Orange Green Green\nGreen Green Orange Orange Black Black Green Green Orange Orange Black Black Black Black Green Green Orange Orange Green Green\nBlack Black Green Green Orange Orange Orange Orange Orange Orange Green Green Orange Orange Green Green Green Green Green Green\nBlack Black Green Green Orange Orange Orange Orange Orange Orange Green Green Orange Orange Green Green Green Green Green Green\nOrange Orange Green Green Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Orange Orange\nOrange Orange Green Green Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Orange Orange\nGreen Green Green Green Green Green Orange Orange Green Green Green Green Orange Orange Green Green Green Green Black Black\nGreen Green Green Green Green Green Orange Orange Green Green Green Green Orange Orange Green Green Green Green Black Black\n\nOutput:\nOrange Orange Green Green Orange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange Green Green\nOrange Orange Green Green Orange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Green Green Black Black Orange Orange Black Black Green Green Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Green Green Black Black Orange Orange Black Black Green Green Orange Orange\nOrange Orange Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Green Green Black Black Orange Orange Green Green Black Black Black Black Orange Orange Green Green Orange Orange\nOrange Orange Green Green Black Black Orange Orange Green Green Black Black Black Black Orange Orange Green Green Orange Orange\nBlack Black Orange Orange Green Green Green Green Green Green Orange Orange Green Green Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Green Green Green Green Green Green Orange Orange Green Green Orange Orange Orange Orange Orange Orange\nGreen Green Orange Orange Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Green Green\nGreen Green Orange Orange Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Green Green\nOrange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange Green Green Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange Green Green Orange Orange Orange Orange Black Black\n\n\nExample 3\nInput:\nGreen Green Orange Orange Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Black Black Green Green Black Black\nGreen Green Orange Orange Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Black Black Green Green Black Black\nOrange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange\nOrange Orange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange\nGreen Green Orange Orange Green Green Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Orange Orange Green Green Orange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Orange Orange Orange Orange Green Green Green Green Black Black Green Green Green Green Orange Orange Green Green Black Black\nGreen Green Orange Orange Orange Orange Green Green Green Green Black Black Green Green Green Green Orange Orange Green Green Black Black\nGreen Green Green Green Green Green Green Green Orange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange Green Green\nGreen Green Green Green Green Green Green Green Orange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange Green Green\nGreen Green Orange Orange Green Green Green Green Orange Orange Green Green Green Green Orange Orange Green Green Green Green Orange Orange\nGreen Green Orange Orange Green Green Green Green Orange Orange Green Green Green Green Orange Orange Green Green Green Green Orange Orange\nGreen Green Black Black Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Green Green\nGreen Green Black Black Orange Orange Green Green Green Green Green Green Green Green Green Green Green Green Orange Orange Green Green\n\nOutput:\nOrange Orange Green Green Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Black Black Orange Orange Black Black\nOrange Orange Green Green Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Black Black Orange Orange Black Black\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green\nOrange Orange Green Green Orange Orange Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Green Green Orange Orange Green Green Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Green Green Green Green Orange Orange Orange Orange Black Black Orange Orange Orange Orange Green Green Orange Orange Black Black\nOrange Orange Green Green Green Green Orange Orange Orange Orange Black Black Orange Orange Orange Orange Green Green Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange Green Green Green Green Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange Green Green Green Green Orange Orange\nOrange Orange Green Green Orange Orange Orange Orange Green Green Orange Orange Orange Orange Green Green Orange Orange Orange Orange Green Green\nOrange Orange Green Green Orange Orange Orange Orange Green Green Orange Orange Orange Orange Green Green Orange Orange Orange Orange Green Green\nOrange Orange Black Black Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Orange Orange\nOrange Orange Black Black Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Green Green Green Green Green Green Green Orange Orange Green Green Orange Orange Green Green\nGreen Green Green Green Green Green Green Green Green Green Orange Orange Green Green Orange Orange Green Green\nGreen Green Green Green Green Green Green Green Orange Orange Orange Orange Green Green Black Black Green Green\nGreen Green Green Green Green Green Green Green Orange Orange Orange Orange Green Green Black Black Green Green\nGreen Green Green Green Green Green Orange Orange Orange Orange Green Green Orange Orange Green Green Green Green\nGreen Green Green Green Green Green Orange Orange Orange Orange Green Green Orange Orange Green Green Green Green\nGreen Green Green Green Green Green Orange Orange Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Orange Orange Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nGreen Green Orange Orange Black Black Orange Orange Green Green Orange Orange Orange Orange Green Green Orange Orange\nGreen Green Orange Orange Black Black Orange Orange Green Green Orange Orange Orange Orange Green Green Orange Orange\nOrange Orange Green Green Black Black Green Green Green Green Green Green Orange Orange Orange Orange Green Green\nOrange Orange Green Green Black Black Green Green Green Green Green Green Orange Orange Orange Orange Green Green\nOrange Orange Orange Orange Orange Orange Green Green Orange Orange Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Green Green Orange Orange Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange Green Green Orange Orange Black Black\nOrange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange Green Green Orange Orange Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Orange Orange Green Green Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Orange Orange Green Green Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Orange Orange Black Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Green Green Green Green Orange Orange Black Black Orange Orange\nOrange Orange Orange Orange Orange Orange Green Green Green Green Orange Orange Green Green Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Green Green Green Green Orange Orange Green Green Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Green Green Black Black Green Green Orange Orange Green Green Green Green Orange Orange Green Green\nOrange Orange Green Green Black Black Green Green Orange Orange Green Green Green Green Orange Orange Green Green\nGreen Green Orange Orange Black Black Orange Orange Orange Orange Orange Orange Green Green Green Green Orange Orange\nGreen Green Orange Orange Black Black Orange Orange Orange Orange Orange Orange Green Green Green Green Orange Orange\nGreen Green Green Green Green Green Orange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Orange Orange Green Green Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Orange Orange Orange Orange Green Green Green Green Orange Orange Green Green Black Black\nGreen Green Green Green Orange Orange Orange Orange Green Green Green Green Orange Orange 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 Brown Black\nBlack Brown Black\nBlack Black Black\n\nOutput:\nBlack Black Black\nBrown Brown Black\nBlack Black Black\n\n\nExample 2\nInput:\nGray Gray Black\nBlack Gray Black\nBlack Black Black\n\nOutput:\nBlack Black Black\nGray Gray Black\nGray Black Black\n\n\nExample 3\nInput:\nPurple Purple Black\nBlack Black Black\nBlack Black Black\n\nOutput:\nBlack Black Black\nPurple Black Black\nPurple Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black\nOrange Orange Black\nBlack 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\nBlack Orange Black\nBlack Orange Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Gray Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Yellow Gray Black Black Red Red Red Red Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Gray Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Orange Orange Orange Orange\nBlack Black Green Green Green Green Black Black Orange Orange Gray Orange\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange\n\nOutput:\nRed Red Red Red\nRed Red Gray Red\nRed Red Red Red\nRed Red Red Red\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 Green Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Black Black Black Black\nBlack Black Red Gray Black Black Black Orange Gray Orange Black Black Black Black\nBlack Black Red Red Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange\nGreen Gray Orange\nGreen Green Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Gray Black Black Black Black Black Black Black Black Black\nBlack Black Brown Gray Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Gray Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown 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\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 Brown Brown Brown\nBrown Yellow Gray Brown\nBrown Yellow Yellow Brown\nBrown Brown Brown Brown\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 Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Gray Pink Black Black Black Black Black Black Black Black Black Green Gray\nBlack Pink Pink Pink Black Orange Orange Orange Orange Black Black Black Black Green Green\nBlack Black Black Black Black Orange Orange Gray Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Gray Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown 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\nBlack Black Black Black Black Black Brown Gray Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink\nOrange Green Gray Pink\nOrange Green Green Pink\nOrange 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Blue Black Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Blue Blue Black Brown Brown Blue Gray Black Black Black Black Black Black Black Black Black\nGray Brown Brown Black Brown Brown Blue Blue Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Red Red Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Red Red Brown Brown Brown Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlue Blue Brown Brown Black Brown Brown Gray Black Black Yellow Yellow Yellow Yellow Black Black Black\nGray Blue Brown Brown Black Blue Blue Gray Black Black Yellow Yellow Yellow Yellow Black Black Black\nGray Gray Gray Brown Black Blue Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Blue Brown Gray\nGray Brown Brown Blue\nYellow Yellow Red Brown\nGray Brown Yellow Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Brown Black Brown Brown Black Black Black\nBlack Black Black Brown Brown Yellow Brown Yellow Brown Brown Black Black Black\nBlack Black Black Brown Orange Yellow Orange Yellow Orange Brown Black Black Black\nBlack Black Black Orange Yellow Yellow Purple Yellow Yellow Orange Black Black Black\nBlack Black Black Orange Yellow Brown Brown Brown Yellow Orange Black Black Black\nBlack Black Black Orange Purple Brown Brown Brown Purple Orange Black Black Black\nBlack Black Black Orange Brown Brown Purple Brown Brown Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Pink Pink\nBrown Yellow Yellow\nOrange Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Orange Gray Black Black Black Purple Blue Blue Black Black Orange Orange Orange Black\nBlack Orange Orange Gray Blue Black Black Gray Orange Blue Black Black Orange Orange Orange Black\nBlack Blue Blue Blue Blue Orange Orange Purple Blue Gray Black Black Orange Orange Orange Black\nBlack Purple Purple Blue Blue Orange Gray Gray Blue Blue Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Orange Orange Blue Blue Purple Black Black Black Black Black Black\nBlack Purple Blue Purple Gray Blue Blue Orange Blue Purple Black Black Black Black Black Black\nBlack Purple Purple Orange Blue Purple Orange Purple Black Black Black Black Black Black Black Black\nBlack Gray Purple Blue Orange Orange Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Blue\nBlue Blue Purple\nPurple Gray Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Pink Black Black Black Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Black Purple Purple Purple Purple\nBlack Black Black Brown Black Orange Orange Brown Pink Pink Black Purple Purple Purple Purple\nBlack Black Black Orange Black Gray Black Black Pink Pink Black Purple Purple Purple Purple\nBlack Pink Pink Orange Gray Brown Gray Orange Pink Pink Black Purple Purple Purple Purple\nBlack Pink Pink Black Black Gray Black Orange Black Black Black Black Black Black Black\nBlack Pink Pink Brown Orange Orange Black Brown Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Pink Black Black Black Pink Pink Pink Pink Pink 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 Purple\nPurple Brown Orange Brown\nPink Orange Brown Orange\nPink Brown 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:\nPink Pink Black Pink Black Pink Black\nBlack Black Black Black Pink Black Pink\nPink Pink Pink Pink Black Pink Pink\nPink Pink Pink Pink Black Black Black\nPink Black Pink Black Pink Pink Pink\nBlack Pink Black Black Black Black Black\n\nOutput:\nBlack Pink Black Pink Black Pink Pink Pink Pink Black Pink Black Pink Black\nPink Black Pink Black Black Black Black Black Black Black Black Pink Black Pink\nPink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Black Pink Black Pink Pink Black Pink Black Pink Pink Pink\nBlack Black Black Black Black Pink Black Black Pink Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Orange Black Black Black Orange\nOrange Black Orange Orange Black Orange\nOrange Black Orange Black Orange Orange\nOrange Black Orange Orange Black Orange\nOrange Orange Orange Orange Black Orange\nOrange Orange Black Orange Orange Black\nBlack Orange Black Black Orange Black\n\nOutput:\nOrange Black Black Black Orange Black Black Orange Black Black Black Orange\nOrange Black Orange Orange Black Orange Orange Black Orange Orange Black Orange\nOrange Orange Black Orange Black Orange Orange Black Orange Black Orange Orange\nOrange Black Orange Orange Black Orange Orange Black Orange Orange Black Orange\nOrange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange\nBlack Orange Orange Black Orange Orange Orange Orange Black Orange Orange Black\nBlack Orange Black Black Orange Black Black Orange Black Black Orange Black\n\n\nExample 3\nInput:\nGray Gray Black Gray Gray Black Black\nGray Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Gray\nBlack Black Black Gray Gray Gray Gray\nBlack Black Gray Black Black Black Gray\nBlack Black Gray Black Black Black Black\nGray Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray Gray Black Gray Gray Gray Gray Black Gray Gray Black Black\nBlack Gray Gray Black Black Black Gray Gray Black Black Black Gray Gray Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nGray Black Black Black Gray Black Black Black Black Gray Black Black Black Gray\nBlack Black Black Black Gray Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Black Black Black\nBlack Pink Pink Black Black\nBlack Pink Black Pink Black\nBlack Pink Pink Black Pink\nBlack 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```\nBlack Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Black Black Pink Pink Black Black\nBlack Pink Black Pink Black Black Pink Black Pink Black\nPink Black Pink Pink Black Black Pink Pink Black Pink\nPink Pink Black Black Black Black Black Black 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:\nOrange Black Gray Blue Black Black Blue Black\nBlue Brown Red Purple Black Purple Gray Purple\nBrown Green Gray Black Blue Brown Black Yellow\nBlack Blue Pink Red Red Black Red Black\nBrown Purple Pink Black Pink Pink Gray Black\nBrown Green Red Blue Black Black Yellow Gray\nRed Brown Gray Purple Black Brown Black Gray\nBrown Orange Blue Yellow Orange Orange Gray Pink\n\nOutput:\nOrange Black Gray Blue Black Black Blue Black\nBlue Brown Red Purple Black Purple Gray Orange\nBrown Red Gray Black Blue Brown Orange Yellow\nBlack Blue Pink Red Red Black Red Orange\nBrown Purple Pink Black Pink Pink Orange Black\nBrown Red Red Blue Black Orange Yellow Orange\nRed Brown Gray Orange Black Brown Orange Gray\nBrown Orange Orange Yellow Orange Orange Gray Pink\n\n\nExample 2\nInput:\nPurple Black Green Green Brown Black Black\nBlack Black Purple Brown Black Black Yellow\nBlack Green Black Black Gray Green Black\nPurple Black Pink Blue Black Black Black\nYellow Black Black Black Black Black Orange\nBlue Black Black Blue Black Black Black\nBlack Black Red Blue Black Black Purple\n\nOutput:\nPurple Black Red Red Brown Black Orange\nBlack Black Purple Brown Black Orange Yellow\nBlack Red Black Black Gray Red Orange\nOrange Black Pink Blue Black Black Black\nYellow Orange Black Black Black Black Orange\nOrange Black Black Blue Black Black Black\nBlack Black Red Blue Black Black Purple\n\n\nExample 3\nInput:\nGray Red Yellow Black Black Red Orange Black Black\nOrange Purple Black Blue Black Black Black Black Orange\nBlack Blue Black Black Gray Gray Brown Yellow Orange\nPurple Red Gray Purple Black Green Purple Black Orange\nPink Black Red Black Red Gray Gray Black Pink\nOrange Blue Yellow Black Purple Brown Yellow Black Purple\nBlue Orange Black Gray Red Blue Gray Black Gray\n\nOutput:\nGray Orange Yellow Orange Black Red Orange Black Black\nOrange Purple Orange Blue Black Black Black Orange Orange\nBlack Blue Black Black Gray Gray Orange Yellow Orange\nPurple Red Gray Purple Black Red Purple Orange Orange\nPink Black Orange Black Red Gray Orange Black Pink\nOrange Orange Yellow Orange Purple Orange Yellow Orange Purple\nBlue Orange Orange Gray Red Blue Orange Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Purple Purple Black Brown Purple Red Red Black\nBlack Blue Brown Orange Purple Orange Pink Orange Orange\nPink Red Black Green Brown Brown Blue Pink Black\nBlue Purple Gray Black Orange Black Gray Purple Brown\nBlack Pink Orange Brown Purple Black Gray Gray Red\nRed Blue Red Gray Yellow Pink Blue Brown Orange\nPurple Pink Brown Purple Pink Brown Red Pink Brown\nPink Black Blue Blue Brown Black Purple Orange Gray\nBlue Black Red Black Yellow Blue Purple Red Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Purple Purple Black Brown Purple Red Red Black\nBlack Blue Brown Orange Purple Orange Pink Orange Orange\nPink Red Black Red Brown Brown Blue Pink Black\nBlue Purple Gray Black Orange Black Gray Purple Brown\nBlack Pink Orange Brown Orange Black Gray Gray Red\nRed Blue Red Orange Yellow Orange Blue Brown Orange\nPurple Pink Brown Purple Orange Brown Red Pink Brown\nPink Black Blue Blue Orange Black Purple Orange Orange\nBlue Black Red Orange Yellow Orange Purple Orange Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Red Red Black Black Black Black Black Black Black Black Red Red Red Red\nRed Red Red Red Black Black Red Red Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Blue Blue Green Green Black Black Black Black\nRed Red Black Black Red Red Red Red Black Black Green Green Yellow Yellow Yellow Yellow Blue Blue Black Black\nRed Red Black Black Red Red Red Red Black Black Green Green Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Yellow Green Green Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Green Green Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Green Green Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Red Red Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Yellow Yellow Black Black 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 Red Red 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\nBlue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlue Blue Black Black Blue Blue Blue Blue Black Black Yellow Yellow Blue Blue Blue Blue Yellow Yellow Black Black\nBlue Blue Black Black Blue Blue Blue Blue Black Black Yellow Yellow Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Green Green Yellow Yellow Blue Blue\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Green Green Yellow Yellow Blue Blue\nBlack Black Black Black Yellow Yellow Green Green Green Green Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Green Green Green Green Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Blue Blue Blue Blue Yellow Yellow Black Black Blue Blue Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Blue Blue Blue Blue Yellow Yellow Black Black Blue Blue 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 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 Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Yellow Yellow Yellow Yellow Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Yellow Yellow Yellow Yellow Blue Blue 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 Blue Blue Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow Blue Blue Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow Blue Blue Yellow Yellow\nBlack Black Black Black Blue Blue Green Green Green Green Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Green Green Green Green Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Green Green Green Green Blue Blue Black Black Yellow Yellow Blue Blue Black Black\nBlack Black Black Black Blue Blue Green Green Green Green Blue Blue Black Black Yellow Yellow Blue Blue Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Green Green Green Green Yellow Yellow Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Green Green Green Green Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Green Green Green Green Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Green Green Green Green Yellow Yellow Black Black\n\n\nExample 3\nInput:\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Yellow Yellow Black Black Black Black Black Black Green Green Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Green Green Black Black\nBlack Black Blue Blue Green Green Green Green Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Green Green Green Green Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Green Green Green Green Blue Blue Black Black Black Black Black Black Green Green Black Black\nBlack Black Blue Blue Green Green Green Green Blue Blue Black Black Black Black Black Black Green Green Black Black\n\nOutput:\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow 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 Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Green Green Blue Blue Blue Blue Green Green Black Black Red Red Red Red Red Red Black Black\nBlack Black Green Green Blue Blue Blue Blue Green Green Black Black Red Red Red Red Red Red Black Black\nBlack Black Green Green Blue Blue Blue Blue Green Green Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Green Green Blue Blue Blue Blue Green Green Black Black Black Black Black Black Yellow Yellow Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black 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 Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBrown Brown Brown Brown\nYellow Yellow Yellow Yellow\nBrown Brown Brown Brown\nYellow Yellow Yellow Yellow\n\nOutput:\nBrown Brown Brown Brown\nGray Gray Gray Gray\nBrown Brown Brown Brown\nGray Gray Gray Gray\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red\nPink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red\nPink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red\nPink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown\nYellow 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```\nGray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown\nGray 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 Red Black Black Black Red Black Green Black\nBlack Black Green Black Red Black Black Blue Blue Black Red Black\nBlack Black Black Green Blue Black Black Black Black Red Black Black\nBlack Black Blue Black Black Green Red Black Black Black Green Blue\nBlack Black Black Black Black Red Black Green Black Black Black Black\nBlack Black Blue Red Black Blue Black Red Black Black Black Black\nGreen Black Blue Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Green Black Black Black Green Black Blue Black\nBlack Black Blue Black Green Black Black Red Red Black Green Black\nBlack Black Black Blue Red Black Black Black Black Green Black Black\nBlack Black Red Black Black Blue Green Black Black Black Blue Red\nBlack Black Black Black Black Green Black Blue Black Black Black Black\nBlack Black Red Green Black Red Black Green Black Black Black Black\nBlue Black Red Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Green Black\nRed Black Black Red Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlack Green Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Black\nGreen Black Black Green Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nRed Red Black Black Black Black Black Black Black Black\nBlack Blue Red Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Green Green\n\n\nExample 3\nInput:\nRed Black Black Red Green Black Black Green Black Black Black\nBlack Green Black Blue Black Black Black Blue Black Black Green\nBlue Black Black Red Black Black Green Green Black Red Black\nRed Black Black Black Black Blue Black Black Green Green Black\nBlack Black Red Black Green Black Black Red Black Black Black\nBlack Black Red Black Black Black Black Black Black Red Black\nBlack Black Black Green Green Black Black Black Blue Black Blue\n\nOutput:\nGreen Black Black Green Blue Black Black Blue Black Black Black\nBlack Blue Black Red Black Black Black Red Black Black Blue\nRed Black Black Green Black Black Blue Blue Black Green Black\nGreen Black Black Black Black Red Black Black Blue Blue Black\nBlack Black Green Black Blue Black Black Green Black Black Black\nBlack Black Green Black Black Black Black Black Black Green Black\nBlack Black Black Blue Blue Black Black Black Red Black Red\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Green Green Blue Black Green Black Black\nGreen Black Green Black Black Black Red Black Black\nBlack Black Green Blue Black Green Black Red Green\nBlack Blue Black Black Blue Black Green Red Green\nGreen Blue Black Black Green Red Black Black Black\nGreen Black Black Black Black Black Green Black Black\nBlack Red Red Black Blue Black Green Black Black\nBlack Black Black Red Black Red Black Black Black\nBlack Black Black Red Blue Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Blue Blue Red Black Blue Black Black\nBlue Black Blue Black Black Black Green Black Black\nBlack Black Blue Red Black Blue Black Green Blue\nBlack Red Black Black Red Black Blue Green Blue\nBlue Red Black Black Blue Green Black Black Black\nBlue Black Black Black Black Black Blue Black Black\nBlack Green Green Black Red Black Blue Black Black\nBlack Black Black Green Black Green Black Black Black\nBlack Black Black Green Red Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Blue Black Black\nBlack Black Blue Black Black\nBlack Black Blue Blue Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Blue Black\nBlack Black Black Blue Black\nBlack Black Blue Blue Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Blue Blue Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Blue Blue Black Black Black\nBlack Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black\nBlack Blue Black Black\nBlack Blue Blue Black\nBlack Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Black Blue 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\nBlack Black Black Black Black Black\nBlack Blue Blue Blue Black Black\nBlack Blue Blue Black Black Black\nBlack Blue Blue Blue Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Blue Blue Blue Black Black\nBlack Black Blue Blue Black Black\nBlack Blue Blue Blue Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink 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 Pink Black Black\nBlack Pink Pink Pink Black\nPink Pink Pink Pink Pink\nBlack Pink Pink Pink Black\nBlack Black Pink Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown 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:\nBrown Brown Black Black\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBrown Brown Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Black Black Pink Pink Black\nBlack Black Black Black Black Pink Pink Black Black Pink Pink 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 Black Black Pink Pink\nPink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black 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\nPink Pink Pink Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Red Red Red\nPink Pink Pink Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Red Red Red\nPink Pink Pink Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Red Red Red\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Red Red Red Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Red Red Red Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Red Red Red Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Orange 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\nOrange Orange Orange 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\nOrange Orange Orange 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Purple Purple Purple Pink Pink Pink Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Purple Purple Purple Pink Pink Pink Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Purple Purple Purple Pink Pink Pink Red Red Red\nBlack Black Black Black Black Black Orange Orange Orange Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue\nPink Pink Pink Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue\nPink Pink Pink Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Gray Gray Gray Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Orange 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\nOrange Orange Orange 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\nOrange Orange Orange 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Purple Purple Purple Pink Pink Pink Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Purple Purple Purple Pink Pink Pink Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Purple Purple Purple Pink Pink Pink Blue Blue Blue\nBlack Black Black Black Black Black Orange Orange Orange Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Gray Gray Gray\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Gray Gray Gray\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Gray Gray Gray\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Gray Gray Gray Green Green Green Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Green Green Green Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Green Green Green Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Gray Gray Gray\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Gray Gray Gray\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Gray Gray Gray\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\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Orange Orange Orange Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange 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 Orange Orange Orange 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 Orange Orange Orange 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 Gray Gray Gray Green Green Green Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Green Green Green Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Green Green Green Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink Brown Brown Brown Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Gray Gray Gray Orange Orange Orange Pink Pink Pink Black Black Black Green Green Green\nBlack Black Black Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Gray Gray Gray Orange Orange Orange Pink Pink Pink Black Black Black Green Green Green\nBlack Black Black Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Gray Gray Gray Orange Orange Orange Pink Pink Pink Black Black Black Green Green Green\nBlack Black Black Blue Blue Blue Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlue Blue Blue Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlue Blue Blue Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlue Blue Blue Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black\nBlack Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black\nBlack Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Red Red Red 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 Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink Brown Brown Brown Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Gray Gray Gray Orange Orange Orange Pink Pink Pink Black Black Black Green Green Green\nBlack Black Black Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Gray Gray Gray Orange Orange Orange Pink Pink Pink Black Black Black Green Green Green\nBlack Black Black Yellow Yellow Yellow Pink Pink Pink Black Black Black Orange Orange Orange Gray Gray Gray Orange Orange Orange Pink Pink Pink Black Black Black Green Green Green\nBlack Black Black Blue Blue Blue Green Green Green Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Blue Blue Blue Green Green Green Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Blue Blue Blue Green Green Green Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Green Green Green Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlue Blue Blue Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlue Blue Blue Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlue Blue Blue Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black\nBlack Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black\nBlack Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Black Black Black Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Yellow Yellow Yellow Black Black Black\nGray Gray Gray Black Black Black Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Yellow Yellow Yellow Black Black Black\nGray Gray Gray Black Black Black Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Yellow Yellow Yellow Black Black Black\nGray Gray Gray Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nGray Gray Gray Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nGray Gray Gray Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Red Red Red\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Red Red Red\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Black Black Black\nGreen Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black\nGreen Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black\nGreen Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black\nBlack Black Black Orange Orange Orange Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Green Green Green\nBlack Black Black Orange Orange Orange Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Green Green Green\nBlack Black Black Orange Orange Orange Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Green Green Green\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPurple Purple Purple Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Yellow Yellow Yellow Black Black Black\nGray Gray Gray Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Yellow Yellow Yellow Black Black Black\nGray Gray Gray Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Yellow Yellow Yellow Black Black Black\nGray Gray Gray Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nGray Gray Gray Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nGray Gray Gray Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Black Black Black\nGreen Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black\nGreen Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black\nGreen Green Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black\nBlack Black Black Orange Orange Orange Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Green Green Green\nBlack Black Black Orange Orange Orange Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Green Green Green\nBlack Black Black Orange Orange Orange Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Green Green Green\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Pink\nPurple Purple Purple Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Gray Gray Gray Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Green Black Black Black Black Black Black\nBlack Green Black Green Black Green Black Black Black Black\nGreen Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black\n\nOutput:\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nGray Black Gray Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\n\n\nExample 2\nInput:\nBlack Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Yellow\nBlack Black Black Black Black Green Yellow\nBlack Black Black Green Black Black Yellow\nBlack Black Black Black Green Black Black\nBlack Black Black Black Black Black Green\n\nOutput:\nGray Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Gray Gray Black\nBlack Black Gray Black Black Gray Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Green Black\nBlack Black Black Black Green Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Green Black Black Black\nGreen Black Black Black Black Black Black\nBlack Black Black Green Black Black Black\nBlack Green Black Yellow Black Black Black\nGreen Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow\n\nOutput:\nBlack Black Black Black Gray Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Black Gray Black Black\nBlack Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black\nGray Black Gray Black Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Black Black Black Yellow 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\nGreen Black Black Black Black Black Black Black Black\nBlack Black Green Green Yellow Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow 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 Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Gray 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\nGray Black Gray Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black 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 Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black 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 Black Black Blue Black Black Black\nBlack Black Black Black Black 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 Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Blue Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Blue Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Blue Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Blue Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Blue Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Blue Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Blue Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue\n\n\nExample 2\nInput:\nBlue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Black Black Blue Black Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Black Black Blue\n\nOutput:\nBlue Black Black Black Black Black Black\nGreen Blue Black Black Black Black Black\nGreen Green Blue Black Black Black Black\nGreen Green Green Blue Black Black Black\nGreen Green Green Green Blue Black Black\nGreen Green Green Green Green Blue Black\nGreen Green Green Green Green Green Blue\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Blue\n\nOutput:\nBlue Black Black Black Black Black Black Black Black\nGreen Blue Black Black Black Black Black Black Black\nGreen Green Blue Black Black Black Black Black Black\nGreen Green Green Blue Black Black Black Black Black\nGreen Green Green Green Blue Black Black Black Black\nGreen Green Green Green Green Blue Black Black Black\nGreen Green Green Green Green Green Blue Black Black\nGreen Green Green Green Green Green Green Blue Black\nGreen Green Green Green Green Green Green Green Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue 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 Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black 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 Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black 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\nGreen Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Blue Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Blue Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Blue Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Blue Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Blue Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Blue Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Blue Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Blue Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Blue Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Blue Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Red Red Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Red Red Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Red Red Red Red Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Red Red Red Red Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Yellow Red Red Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Yellow Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Red Red 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\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 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Red Red Red Red Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Red Red Red Red Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Red Red Brown Brown Brown Brown Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Red Red Brown Brown Brown Brown Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Red Red Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Red Red Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Brown Brown Brown Brown Brown Brown Brown Brown Red Red Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Brown Brown Brown Brown Brown Brown Brown Brown Red Red Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Red Red Brown Brown Brown Brown Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Red Red Brown Brown Brown Brown Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Red Red Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Red Red Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Red Red Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Red Red Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown 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 Red Red Pink Pink Pink Pink Black Black Pink Pink Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Pink Pink Pink Pink Black Black Pink Pink Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Red Red Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Red Red Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Red Red Red Red Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Red Red Red Red Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Pink Pink Red Red Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Pink Pink Red Red Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Red Red Black Black Red Red Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Red Red Black Black Red Red Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Pink Pink Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink 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 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 Pink Pink 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 Pink Pink Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Red Red Green Green Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Red Red Green Green Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Green Green Red Red Green Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Green Green Red Red Green Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Red Red Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Red Red Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Red Red Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Green Green Green Green Green 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Red Red Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Red Red Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green 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 Orange Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black\nBlack Black Black Brown Black Black Gray Gray Black\nBlack Black Black Brown Yellow Yellow Gray Gray Black\nBlack Black Black Brown Red Red Gray Gray Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black\nBlack Black Pink Pink Pink Pink Red Black\nBlack Black Pink Pink Pink Pink Red Black\nBlack Black Pink Pink Pink Pink Orange Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Gray Gray Brown Brown Black\nBlack Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black\nBlack Black Black Blue Blue Black Black\nBlack Yellow Yellow Yellow Red Red Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Purple Purple Gray Black Black\nBlack Black Blue Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple 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```\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 Black Black Black Black Black Black\nBlack Pink Brown Purple Black Black Black Black Black\nBlack Pink Orange Brown Black Black Black Black Black\nBlack Green Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Brown Purple Black Purple Brown Pink Black\nBlack Pink Orange Brown Black Brown Orange Pink Black\nBlack Green Orange Orange Black Orange Orange Green Black\nBlack Black Black Black Black Black Black Black Black\nBlack Green Orange Orange Black Orange Orange Green Black\nBlack Pink Orange Brown Black Brown Orange Pink Black\nBlack Pink Brown Purple Black Purple Brown Pink Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Red Green Black Black Black\nBlack Blue Gray Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Red Green Green Red Black\nBlack Blue Gray Gray Blue Black\nBlack Blue Gray Gray Blue Black\nBlack Red Green Green Red Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Yellow Red Black Black Black\nBlack Blue Orange Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Yellow Red Red Yellow Black\nBlack Blue Orange Orange Blue Black\nBlack Blue Orange Orange Blue Black\nBlack Yellow Red Red Yellow Black\nBlack 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\nBlack Brown Gray Brown Black Black Black Black\nBlack Pink Gray Pink Black Black Black Black\nBlack Pink Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nBlack Brown Gray Brown Brown Gray Brown Black\nBlack Pink Gray Pink Pink Gray Pink Black\nBlack Pink Brown Brown Brown Brown Pink Black\nBlack Pink Brown Brown Brown Brown Pink Black\nBlack Pink Gray Pink Pink Gray Pink Black\nBlack Brown Gray Brown Brown Gray Brown Black\nBlack 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 Brown Pink Yellow Purple\nOrange Black Black Brown Pink\nBlack Blue Orange Black Black\nPurple Green Black Red Yellow\nBlack Black Black Purple Green\n\nOutput:\nBrown Orange Black Gray Blue Brown Orange Black Gray Blue\nGray Red Black Green Brown Gray Red Black Green Brown\nOrange Black Purple Black Black Orange Black Purple Black Black\nRed Black Yellow Blue Black Red Black Yellow Blue Black\nBlack Purple Black Brown Black Black Purple Black Brown Black\nBrown Orange Black Gray Blue Brown Orange Black Gray Blue\nGray Red Black Green Brown Gray Red Black Green Brown\nOrange Black Purple Black Black Orange Black Purple Black Black\nRed Black Yellow Blue Black Red Black Yellow Blue Black\nBlack Purple Black Brown Black Black Purple Black Brown Black\n\n\nExample 2\nInput:\nRed Black Red Black Orange\nBrown Brown Black Black Brown\nGreen Black Orange Pink Purple\nPurple Blue Orange Black Black\nBlack Purple Blue Black Blue\n\nOutput:\nPurple Red Brown Black Yellow Purple Red Brown Black Yellow\nBlack Black Orange Black Black Black Black Orange Black Black\nGreen Black Purple Purple Yellow Green Black Purple Purple Yellow\nBlack Red Black Yellow Brown Black Red Black Yellow Brown\nGreen Red Blue Brown Black Green Red Blue Brown Black\nPurple Red Brown Black Yellow Purple Red Brown Black Yellow\nBlack Black Orange Black Black Black Black Orange Black Black\nGreen Black Purple Purple Yellow Green Black Purple Purple Yellow\nBlack Red Black Yellow Brown Black Red Black Yellow Brown\nGreen Red Blue Brown Black Green Red Blue Brown Black\n\n\nExample 3\nInput:\nBlue Black Red Black Black\nYellow Black Black Gray Pink\nGray Brown Black Purple Green\nBlack Black Gray Orange Black\nBlack Black Black Brown Brown\n\nOutput:\nBlack Orange Blue Black Red Black Orange Blue Black Red\nBlack Pink Brown Purple Red Black Pink Brown Purple Red\nGreen Black Black Pink Black Green Black Black Pink Black\nBlack Black Red Black Black Black Black Red Black Black\nYellow Gray Pink Black Black Yellow Gray Pink Black Black\nBlack Orange Blue Black Red Black Orange Blue Black Red\nBlack Pink Brown Purple Red Black Pink Brown Purple Red\nGreen Black Black Pink Black Green Black Black Pink Black\nBlack Black Red Black Black Black Black Red Black Black\nYellow Gray Pink Black Black Yellow Gray Pink Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Gray Black\nBlack Black Gray Black Blue\nBlack Yellow Purple Black Orange\nBlack Black Blue Black Pink\nBlack Purple Black Purple 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 Yellow Purple Orange Red Black Yellow Purple Orange Red\nPink Black Black Black Brown Pink Black Black Black Brown\nBlack Pink Brown Yellow Black Black Pink Brown Yellow Black\nBlack Black Gray Black Brown Black Black Gray Black Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Purple Orange Red Black Yellow Purple Orange Red\nPink Black Black Black Brown Pink Black Black Black Brown\nBlack Pink Brown Yellow Black Black Pink Brown Yellow Black\nBlack Black Gray Black Brown Black Black Gray Black Brown\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 Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Red\nBlack Green Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Brown Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Red\nBlack Green 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 Red Black Black Black Black Black\nBlack Black Black Black Blue Black Red Red Black\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Red Black Black Black Black Green\nGreen Red Black Black Blue Black Black Black Black\nBlack Red Black Green Black Blue Black Black Black\nBlack Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black\nBlack Black Black Black Blue Black Red Red Black\nBlack Black Black Black Black Black Black Black Purple\nBlack Black Black Red Black Black Black Black Green\nGreen Yellow Black Black Blue Black Black Black Black\nBlack Red Black Green Black Blue Black Black Black\nBlack Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green\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 Red Black Black Black Black Green Black Black\nBlack Black Black Red 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Blue Black Green 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 Red Black Black Black Black Green Black Black\nBlack Black Black Red 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Purple Black Green 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 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 Blue\nBlack 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 Red 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 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 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 Blue\nBlack 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 Yellow 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 Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Purple Black Black Black Purple Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Purple Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Purple Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Purple Black Black Purple Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black\nOrange Black Black Orange Black Black Orange\nBlack Orange Black Orange Black Orange Black\nBlack Black Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Black Black\nBlack Orange Black Orange Black Orange Black\nOrange Black Black Orange Black Black Orange\nBlack Black Black Orange 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 Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Black\nGray Black Black Gray Black Black Gray\nBlack Gray Black Gray Black Gray Black\nBlack Black Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Black Black\nBlack Gray Black Gray Black Gray Black\nGray Black Black Gray Black Black Gray\nBlack Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\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 Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Black Black Pink Black Black Black Pink\nBlack Pink Black Black Pink Black Black Pink Black\nBlack Black Pink Black Pink Black Pink Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Pink Black Pink Black Pink Black Black\nBlack Pink Black Black Pink Black Black Pink Black\nPink Black Black Black Pink 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red 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 Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Yellow Blue Blue Black\nBlue Blue Black Black Black Black Blue Blue Black\nBlue Blue Yellow Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Blue Blue\nBlack Black Black Black Black Yellow Black Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Orange Black Orange Black Orange Blue Blue Black\nBlue Blue Black Black Black Black Blue Blue Black\nBlue Blue Orange Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Blue Blue\nBlack Black Black Black Black Orange Black Blue Blue\n\n\nExample 2\nInput:\nYellow Blue Blue Black Black Black Black Black Yellow\nBlack Blue Blue Blue Blue Black Black Black Black\nBlack Black Yellow Blue Blue Black Yellow Black Black\nBlack Black Black Blue Blue Yellow Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black\nBlack Yellow Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black\n\nOutput:\nOrange Blue Blue Black Black Black Black Black Orange\nBlack Blue Blue Blue Blue Black Black Black Black\nBlack Black Orange Blue Blue Black Orange Black Black\nBlack Black Black Blue Blue Orange Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black\nBlack Orange Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Black Black\nBlack Yellow Yellow Black Blue Blue Black Blue Blue\nBlack Yellow Black Black Blue Blue Black Blue Blue\nBlack Black Black Black Blue Blue Black Yellow Black\nYellow Black Black Black Blue Blue Black Black Black\n\nOutput:\nBlack Black Black Black Black Orange Black Black Black\nBlack Black Black Black Orange Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Orange Black Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Black Black\nBlack Yellow Yellow Black Blue Blue Black Blue Blue\nBlack Orange Black Black Blue Blue Black Blue Blue\nBlack Black Black Black Blue Blue Black Orange Black\nOrange Black Black Black Blue Blue Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Yellow Yellow Yellow\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 Yellow Yellow Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black\nBlue Blue Yellow Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Yellow Blue Blue\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 Black Black Black Orange Yellow Yellow\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 Yellow Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\nBlue Blue Orange Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Orange Blue Blue\nBlack Black Black Black Orange Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black 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 Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\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 Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue\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\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 Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue\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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue 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\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 Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue 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\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 Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 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 Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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\nBlack Black Black Brown Black Black Black Black Green Black Black Black Yellow 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 Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Orange Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Green Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Brown Green Brown Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Brown Green Brown Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Orange Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Orange Brown Green Brown Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Yellow Black Brown Gray Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Green\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue\nBlack Black Black Black Green Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Blue Black Black Orange\nBlack Black Black Black Pink Yellow Black\nBlack Yellow Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Brown\nBlack Black Black Black Black Brown Green\nBlack Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black\nBlack Black Black Black Brown Black Blue\nBlack Black Black Brown Green Brown Black\nBlack Black Black Black Brown Yellow Black\nBlack Black Black Blue Black Black Orange\nBlack Black Black Black Pink Yellow Black\nBlack Yellow Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Brown Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Black Black Green Black Black Black\n\nOutput:\nBlack Black Black Black Brown Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Black Brown Black Black Black\nBlack Black Brown Green Brown Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Black 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\nGreen Black Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black\nGreen Brown Black Purple Black Black Brown Black Black\nBrown Black Purple Black Black Brown Green Brown Black\nBlack Black Black Black Black Black Brown Black Black\nBlack Black Black Blue Black Black Black Black Black\nPurple 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:\nPink Black Black Black Black Pink Black Pink Black Black Black Black Black Pink Black Pink Black Orange Pink Black Black Pink Black Black Pink Pink Black\nBlack Black Black Black Black Black Pink Black Black Pink Pink Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Orange Orange Orange Orange Orange Orange Orange Pink Black Pink Pink Black Black\nBlack Black Pink Black Pink Black Black Black Black Black Pink Black Pink Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Pink Black\nPink Black Black Black Pink Black Black Black Pink Pink Pink Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Pink Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Pink\nBlack Black Black Black Black Pink Black Black Black Black Pink Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Pink Black Black Black Black\nBlack Black Pink Black Pink Black Black Black Black Black Pink Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Black\nBlack Pink Black Black Black Black Pink Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Pink\nBlack Black Black Pink Black Black Black Black Black Pink Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Pink Pink\nPink Pink Pink Black Black Black Pink Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Pink Black Black Black Pink\nBlack Black Black Black Black Black Pink Pink Black Black Pink Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Pink Black Black Black\nBlack Black Pink Pink Black Black Pink Pink Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Pink Black Black Black Pink Orange Orange Orange Orange Orange Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Orange Black Black Black Pink Black Black Black Pink Black Black Black Pink\nBlack Black Black Black Pink Pink Black Pink Black Black Pink Black Pink Pink Pink Black Black Pink Black Pink Black Black Pink Black Black Pink Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Pink Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Pink Pink Pink Black Pink Black Black Pink Black Black Pink Black Black Black\nBlack Black Black Black Black Pink Black Pink Pink Black Pink Black Black Black Black Pink Black Pink Black Black Black Black Black Black Black Pink Pink\nBlack Black Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Black Black Black Pink Black Black Pink Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Pink Black Black Black Black Black Black Black Black Pink Pink Black Black\nPink Black Black Black Black Black Pink Black Pink Pink Black Black Pink Pink Black Pink Black Black Black Pink Black Black Pink Black Black Black Black\n\nOutput:\nPink Black Black Black Black Pink Black Pink Black Black Black Black Black Pink Black Pink Black Green Pink Black Black Pink Black Black Pink Pink Black\nBlack Black Black Black Black Black Pink Black Black Pink Pink Black Black Black Black Green Green Green Green Green Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Green Green Green Green Green Green Green Pink Black Pink Pink Black Black\nBlack Black Pink Black Pink Black Black Black Black Black Pink Black Pink Black Green Green Green Green Green Green Green Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Pink Black\nPink Black Black Black Pink Black Black Black Pink Pink Pink Black Black Black Green Green Green Green Green Green Green Black Pink Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Pink\nBlack Black Black Black Black Pink Black Black Black Black Pink Black Black Black Green Green Green Green Green Green Green Green Pink Black Black Black Black\nBlack Black Pink Black Pink Black Black Black Black Black Pink Black Green Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Black\nBlack Pink Black Black Black Black Pink Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Pink\nBlack Black Black Pink Black Black Black Black Black Pink Black Green Green Green Green Green Green Green Green Green Green Green Black Black Black Pink Pink\nPink Pink Pink Black Black Black Pink Black Black Black Green Green Green Green Green Green Green Green Green Green Green Black Pink Black Black Black Pink\nBlack Black Black Black Black Black Pink Pink Black Black Pink Green Green Green Green Green Green Green Green Black Black Black Black Pink Black Black Black\nBlack Black Pink Pink Black Black Pink Pink Black Black Black Green Green Green Green Green Green Green Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Pink Black Black Black Pink Green Green Green Green Green Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Green Black Black Black Pink Black Black Black Pink Black Black Black Pink\nBlack Black Black Black Pink Pink Black Pink Black Black Pink Black Pink Pink Pink Black Black Pink Black Pink Black Black Pink Black Black Pink Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Pink Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Pink Pink Pink Black Pink Black Black Pink Black Black Pink Black Black Black\nBlack Black Black Black Black Pink Black Pink Pink Black Pink Black Black Black Black Pink Black Pink Black Black Black Black Black Black Black Pink Pink\nBlack Black Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Black Black Black Pink Black Black Pink Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Pink Black Black Black Black Black Black Black Black Pink Pink Black Black\nPink Black Black Black Black Black Pink Black Pink Pink Black Black Pink Pink Black Pink Black Black Black Pink Black Black Pink Black Black Black Black\n\n\nExample 2\nInput:\nBlack Brown Black Brown Black Black Brown Black Black Black Brown Brown Black Black Black Brown Brown Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Brown\nBlack Brown Black Black Black Black Black Black Brown Brown Black Black Black Black Black Brown Black Brown Black Brown Black Black Brown Black Brown\nBrown Black Black Black Black Black Black Black Black Black Brown Black Black Brown Brown Black Black Brown Brown Black Black Black Black Brown Brown\nBlack Brown Brown Black Black Brown Black Black Black Black Brown Black Brown Orange Black Black Black Black Black Brown Black Black Brown Black Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Orange Orange Orange Orange Orange Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Brown Brown Black\nBlack Black Brown Brown Brown Black Black Brown Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Brown Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Brown Black Black Black Black Black\nBrown Black Black Black Brown Black Black Black Black Brown Black Orange Orange Orange Orange Orange Black Black Black Brown Black Black Brown Black Brown\nBrown Brown Black Black Black Black Brown Black Brown Black Black Black Black Orange Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Brown Black Brown Black Black Brown Black Black Orange Brown Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown Brown Black Orange Orange Orange Orange Orange Black Brown\nBlack Brown Brown Black Black Black Black Black Black Black Black Orange Black Black Brown Brown Black Orange Orange Orange Orange Orange Orange Orange Brown\nBlack Brown Black Black Black Black Black Brown Brown Orange Orange Orange Orange Orange Brown Black Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Brown Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Black Black Black Black Brown Brown Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Brown Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown\nBlack Black Black Brown Black Black Brown Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Black\nBlack Black Black Brown Black Black Black Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Black Black Brown Black\nBlack Black Brown Black Black Brown Black Black Black Orange Orange Orange Orange Orange Black Black Orange Brown Black Brown Black Black Black Black Black\nBrown Brown Black Black Black Black Brown Black Black Brown Black Orange Brown Black Black Brown Black Black Brown Black Black Brown Brown Black Brown\n\nOutput:\nBlack Brown Black Brown Black Black Brown Black Black Black Brown Brown Black Black Black Brown Brown Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Brown\nBlack Brown Black Black Black Black Black Black Brown Brown Black Black Black Black Black Brown Black Brown Black Brown Black Black Brown Black Brown\nBrown Black Black Black Black Black Black Black Black Black Brown Black Black Brown Brown Black Black Brown Brown Black Black Black Black Brown Brown\nBlack Brown Brown Black Black Brown Black Black Black Black Brown Black Brown Orange Black Black Black Black Black Brown Black Black Brown Black Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Orange Orange Orange Orange Orange Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Brown Brown Black\nBlack Black Brown Brown Brown Black Black Brown Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Brown Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Brown Black Black Black Black Black\nBrown Black Black Black Brown Black Black Black Black Brown Black Orange Orange Orange Orange Orange Black Black Black Brown Black Black Brown Black Brown\nBrown Brown Black Black Black Black Brown Black Brown Black Black Black Black Orange Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Brown Black Brown Black Black Brown Black Black Green Brown Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown Brown Black Green Green Green Green Green Black Brown\nBlack Brown Brown Black Black Black Black Black Black Black Black Green Black Black Brown Brown Black Green Green Green Green Green Green Green Brown\nBlack Brown Black Black Black Black Black Brown Brown Green Green Green Green Green Brown Black Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Brown Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBrown Black Black Black Black Brown Brown Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Brown Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown\nBlack Black Black Brown Black Black Brown Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Brown Black\nBlack Black Black Brown Black Black Black Brown Green Green Green Green Green Green Green Green Green Green Green Black Green Black Black Brown Black\nBlack Black Brown Black Black Brown Black Black Black Green Green Green Green Green Black Black Green Brown Black Brown Black Black Black Black Black\nBrown Brown Black Black Black Black Brown Black Black Brown Black Green Brown Black Black Brown Black Black Brown Black Black Brown Brown Black Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Blue Black Black Blue Blue Blue Black Black Black Black Blue Blue Black\nBlue Black Black Black Black Black Gray Black Black Blue Black Black Black Black Black Black Black Blue Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Blue Black Black Black Black Black Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Black Black Gray Gray Gray Gray Gray Gray Gray Blue Black Blue Blue Blue Blue Black Black Blue Black Blue Black Black Black Black Blue\nBlue Black Blue Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Blue Black Black Black Blue Black Black Black\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Blue Black Black Black Blue Black Black Black\nBlack Blue Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Black Blue Black Black Black Black Black Black Black Blue Black\nBlue Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Blue Black Black Black Blue Black Black Blue Black Blue Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlue Blue Black Blue Black Black Gray Blue Black Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Black Black Blue Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Gray Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Blue Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlue Black Black Black Black Black Blue Black Black Black Blue Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlue Black Black Blue Black Blue Black Blue Black Black Black Blue Black Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Blue\nBlue Black Black Black Black Black Black Black Black Blue Black Black Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Blue Black Black Black Black Blue Black Black Black Blue Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Black Blue\nBlue Black Black Blue Black Blue Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlue Black Black Blue Black Black Blue Black Black Black Black Black Blue Blue Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black Black Black Black Blue Blue Black Black Black Black Gray Black Black Black Blue Blue Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Blue Black Black Black Blue Black Blue Black Blue Black Blue Black Black Blue\n\nOutput:\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Blue Black Black Blue Blue Blue Black Black Black Black Blue Blue Black\nBlue Black Black Black Black Black Gray Black Black Blue Black Black Black Black Black Black Black Blue Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Blue Black Black Black Black Black Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Black Black Gray Gray Gray Gray Gray Gray Gray Blue Black Blue Blue Blue Blue Black Black Blue Black Blue Black Black Black Black Blue\nBlue Black Blue Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Blue Black Black Black Blue Black Black Black\nBlue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Blue Black Black Black Blue Black Black Black\nBlack Blue Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Blue Blue Black Blue Black Black Black Black Black Black Black Blue Black\nBlue Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Blue Black Black Black Blue Black Black Blue Black Blue Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlue Blue Black Blue Black Black Gray Blue Black Blue Blue Black Black Blue Blue Blue Black Black Blue Blue Black Black Blue Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Green Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Blue Black Green Green Green Green Green Green Green Black Black Black Black\nBlue Black Black Black Black Black Blue Black Black Black Blue Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlue Black Black Blue Black Blue Black Blue Black Black Black Blue Black Blue Green Green Green Green Green Green Green Green Green Black Black Blue\nBlue Black Black Black Black Black Black Black Black Blue Black Black Blue Green Green Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Blue Black Black Black Black Blue Black Black Black Blue Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Blue Blue Black Black Blue Green Green Green Green Green Green Green Green Green Blue Black Blue\nBlue Black Black Blue Black Blue Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black\nBlue Black Black Blue Black Black Blue Black Black Black Black Black Blue Blue Black Green Green Green Green Green Green Green Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black Black Black Black Blue Blue Black Black Black Black Green Black Black Black Blue Blue Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Blue Black Black Black Blue Black Blue Black Blue Black Blue Black Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Gray Black\nBlack Gray Black Black Black Black Gray Black Black Gray Pink Pink Pink Pink Pink Gray Black Gray Gray Black Black Black Black Gray\nGray Black Gray Black Gray Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Gray Black Black Gray Black Pink Pink Pink Pink Pink Pink Pink Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Gray Black Gray Black Gray Black\nBlack Black Black Black Black Gray Black Gray Black Pink Pink Pink Pink Pink Pink Pink Black Black Gray Black Black Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Gray Black Black Black Gray\nBlack Gray Gray Gray Gray Black Black Gray Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Gray Black Black Black\nGray Black Black Black Gray Gray Gray Black Black Black Black Gray Pink Black Black Black Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Gray Black Black Gray Black Black Black Black Black Black Black Black Gray Black Black Black Gray Black\nBlack Black Black Gray Black Gray Black Black Black Black Gray Black Black Black Black Gray Black Gray Black Black Black Gray Black Black\nBlack Black Gray Black Black Gray Pink Gray Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nGray Black Gray Black Pink Pink Pink Pink Pink Black Black Black Gray Gray Black Black Gray Black Black Black Gray Black Black Black\nBlack Gray Black Pink Pink Pink Pink Pink Pink Pink Black Black Gray Black Gray Black Gray Black Black Black Gray Black Black Gray\nBlack Black Gray Pink Pink Pink Pink Pink Pink Pink Black Gray Black Black Gray Black Gray Gray Black Black Black Black Black Gray\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Gray Black Black Gray Gray Black Black Gray Black Black Black Black\nBlack Gray Black Pink Pink Pink Pink Pink Pink Pink Gray Black Gray Black Black Black Gray Gray Black Gray Black Gray Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Gray Black Black Gray Black Black Black Gray Black Gray Gray\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Gray Black Black Black Gray Black Black Black Black Black\nBlack Gray Black Black Gray Gray Pink Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Gray Black Black Black Black Black Gray Gray Black Black Gray Black Black Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Gray Black Black Black Gray Black Black Black Black\nBlack Gray Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Gray Black Black Black Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Gray Black\nBlack Gray Black Black Black Black Gray Black Black Gray Pink Pink Pink Pink Pink Gray Black Gray Gray Black Black Black Black Gray\nGray Black Gray Black Gray Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Gray Black Black Gray Black Pink Pink Pink Pink Pink Pink Pink Black Gray Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Gray Black Gray Black Gray Black\nBlack Black Black Black Black Gray Black Gray Black Pink Pink Pink Pink Pink Pink Pink Black Black Gray Black Black Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Gray Black Black Black Gray\nBlack Gray Gray Gray Gray Black Black Gray Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Gray Black Black Black\nGray Black Black Black Gray Gray Gray Black Black Black Black Gray Pink Black Black Black Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Gray Black Black Gray Black Black Black Black Black Black Black Black Gray Black Black Black Gray Black\nBlack Black Black Gray Black Gray Black Black Black Black Gray Black Black Black Black Gray Black Gray Black Black Black Gray Black Black\nBlack Black Gray Black Black Gray Green Gray Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nGray Black Gray Black Green Green Green Green Green Black Black Black Gray Gray Black Black Gray Black Black Black Gray Black Black Black\nBlack Gray Black Green Green Green Green Green Green Green Black Black Gray Black Gray Black Gray Black Black Black Gray Black Black Gray\nBlack Black Gray Green Green Green Green Green Green Green Black Gray Black Black Gray Black Gray Gray Black Black Black Black Black Gray\nBlack Black Green Green Green Green Green Green Green Green Green Black Gray Black Black Gray Gray Black Black Gray Black Black Black Black\nBlack Gray Black Green Green Green Green Green Green Green Gray Black Gray Black Black Black Gray Gray Black Gray Black Gray Black Black\nBlack Black Black Green Green Green Green Green Green Green Black Black Black Gray Black Black Gray Black Black Black Gray Black Gray Gray\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black Gray Black Black Black Gray Black Black Black Black Black\nBlack Gray Black Black Gray Gray Green Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Gray Black Black Black Black Black Gray Gray Black Black Gray Black Black Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Gray Black Black Black Gray Black Black Black Black\nBlack Gray Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Gray Black Black Black Gray Black Black\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Orange Orange Orange Blue Orange Blue Blue Blue Blue Blue Orange\nOrange Orange Orange Orange Orange Orange Blue Orange Orange Orange Blue Orange Blue Orange Orange Orange Blue Orange\nOrange Orange Orange Orange Orange Orange Blue Orange Orange Orange Blue Orange Blue Orange Orange Orange Blue Orange\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Blue Orange Orange Orange Blue Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue 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\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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Orange Blue Orange Blue Orange Blue Blue Blue Blue Blue Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Blue Orange Orange Orange Blue Orange Blue Orange Orange Orange Blue Orange\nOrange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Blue Orange Orange Orange Blue Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Blue Blue Blue Blue Blue Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nOrange 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\nOrange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Orange Orange Orange Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Orange Orange Orange Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Orange Orange Orange Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange\nOrange 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\nOrange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Orange Orange Orange Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Orange Orange Orange Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Orange Orange Orange Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nOrange 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\nOrange 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\n\nOutput:\nOrange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Orange Blue Orange Blue Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Orange Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Blue Orange Blue Orange Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Orange Orange Blue Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Orange Orange Orange Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Orange Orange Blue Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Blue Blue Blue Blue Blue Orange Orange Orange\nOrange Blue Orange Orange Orange Blue Orange Orange Orange\nOrange Blue Orange Orange Orange Blue Orange Orange Orange\nOrange Blue Orange Orange Orange Blue Orange Orange Orange\nOrange Blue Blue Blue Blue Blue 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\nOutput:\nOrange Orange Orange Blue Orange Orange Orange Orange Orange\nOrange Blue Blue Blue Blue Blue Orange Orange Orange\nOrange Blue Orange Blue Orange Blue Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Blue Orange Blue Orange Blue Orange Orange Orange\nOrange Blue Blue Blue Blue Blue Orange Orange Orange\nOrange Orange Orange Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Blue Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nOrange 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\nOrange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Blue Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Blue Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Blue Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nOrange 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\nOrange 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\nOrange Orange Orange Orange Orange Orange Orange 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 Blue Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange\nOrange Blue Blue Blue Blue Blue Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange\nOrange Blue Orange Orange Orange Blue Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange\nOrange Blue Orange Orange Orange Blue Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange\nOrange Blue Orange Orange Orange Blue Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange\nOrange Blue Blue Blue Blue Blue Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Blue Orange Blue Orange Blue Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Blue Orange Blue Orange Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Blue 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 Blue\nBlack Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBrown Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Yellow\nBlack Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Green Black Black Black\nBlack Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black\nBlack Black Brown Black Green Black Black\nBlack Black Brown Black Pink Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Green Green Black Black Black\n\nOutput:\nBlack Black Black Red Black Black Black\nBlack Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black\nBlack Black Purple Black Red Black Black\nBlack Black Purple Black Gray Black Black\nBlack Black Black Black Gray Black Black\nBlack Black Red Red Black Black Black\n\n\nExample 3\nInput:\nBlack Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black\nBlack Red Black Green Black Black Black Black Black\nBlack Black Black Green Purple Brown Brown Purple Purple\nBlack Black Black Black Purple Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black\nBrown Black Purple Purple Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black\nBlack Green Black Red Black Black Black Black Black\nBlack Black Black Red Brown Purple Purple Brown Brown\nBlack Black Black Black Brown Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black\nPurple Black Brown Brown Black Black Blue Black Black\nBlack Black Black Black Black Black Blue Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue 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 Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Blue Black Blue Blue Black Black Black Purple Purple Black\nBlue Blue Black Blue Blue Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Black Yellow Yellow Black Black Black Blue Blue Black\nYellow Yellow Black Yellow Yellow Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Blue Blue\nPurple Purple Blue Blue Black Black Black Blue Blue\nBlack Black Blue Blue Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Yellow Yellow\nBlue Blue Yellow Yellow Black Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black 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 Red Red Black Black Black Black Black Orange Black Black Pink Black Black Yellow Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Gray 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\nBlack Black Black Gray Gray Black Brown Brown Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Gray Gray Black Brown Brown Black Black Black Green Green Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Red Black Green Green Black Black Black Black\nOrange Orange Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Purple Purple Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Gray Gray Black Black Black Red Red Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Blue Blue Black Red Red Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Brown Brown Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Purple Purple Green Green Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Gray Gray Black Yellow Black Black Black Black Yellow Yellow Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Green Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Blue Black Black Black Black Black Orange Black Black Black Orange Orange\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Blue Blue Black Black Black Green Green Black Brown Brown Black Brown Black Gray\nBlack Blue Blue Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Pink Pink Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Pink Pink 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 Yellow Yellow\nBlack 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\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 Purple Purple Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Purple Purple Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Gray\nBlack Black Blue Blue Black Black Black Green Green Black Black Black Brown Brown Gray\nBlack Black Blue Blue Black Black Black Green Green Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Pink Pink\n\n\nExample 3\nInput:\nBlack Green Black Red Red Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Purple Purple Black Black Green Green Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Gray Gray Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Brown Brown Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlue Blue Black Black Black Black Black Black Orange Orange Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Pink Black Black Purple Black Red Black Blue 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 Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Brown Brown Orange\nBlack Black Gray Gray Pink Pink Black Purple Purple Red Red Blue Blue Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Blue Black Black Brown Brown Black Red Red Black Black Black Black\nBlack Blue Blue Black Black Brown Brown Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Pink Pink Black Black Yellow Yellow Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Yellow Yellow Black Black Yellow\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Orange Black Purple Purple Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Blue Black Gray\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Red Black Black Black Purple 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```\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 Yellow\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Yellow\nBlack 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\nBlack Black Black Black Black Black Black Orange Orange Black Black Blue Blue Gray\nBlack Black Black Black Black Black Black Orange Orange Black Black Blue Blue Gray\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Purple Purple 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\nBlack Black Black Black Black\nOrange Orange Orange Black Black\nOrange Orange Orange Black Black\nOrange Orange Orange Black Black\n\nOutput:\nOrange Orange Orange\nOrange Orange Orange\nOrange Orange Orange\n\n\nExample 2\nInput:\nGreen Green Green Black Black\nGreen Green Green Black Black\nGreen Green Green Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nGreen Green Green\nGreen Green Green\nGreen Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Green Green Green\nBlack Black Green Green Green\nBlack Black Green Green Green\n\nOutput:\nGreen Green Green\nGreen Green Green\nGreen Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Pink Pink Pink\nBlack Black Pink Pink Pink\nBlack Black Pink Pink Pink\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink\nPink Pink Pink\nPink 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:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green 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 Green Green Green Green Green 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 Green Green Green Green Green 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 Green Green Green Green Green 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 Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nRed Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nRed Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nRed Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nRed Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nRed Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black 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 Blue Blue Black Black 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 Blue Blue Black Black 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 Blue Blue Black Black 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Black Blue Black Black Black Orange Orange Orange Green\nYellow Black Blue Brown Orange Black Purple Pink Black Black\nBlack Purple Brown Orange Gray Yellow Black Black Black Orange\nBlack Black Orange Yellow Black Black Black Black Green Purple\nBlack Black Orange Black Black Gray Purple Purple Brown Pink\nBlack Orange Black Orange Black Orange Black Pink Black Black\nGreen Black Black Black Black Black Orange Gray Brown Purple\nBlack Yellow Black Black Pink Black Purple Black Black Green\nBlack Black Black Purple Yellow Black Brown Red Black Black\nBlack Black Black Black Green Gray Yellow Black Black Green\n\nOutput:\nGreen Purple Blue Purple Purple Purple Orange Orange Orange Green\nYellow Purple Blue Brown Orange Purple Purple Pink Purple Purple\nPurple Purple Brown Orange Gray Yellow Purple Purple Purple Orange\nPurple Purple Orange Yellow Purple Purple Purple Purple Green Purple\nPurple Purple Orange Purple Purple Gray Purple Purple Brown Pink\nPurple Orange Purple Orange Purple Orange Purple Pink Purple Purple\nGreen Purple Purple Purple Purple Purple Orange Gray Brown Purple\nPurple Yellow Purple Purple Pink Purple Purple Purple Purple Green\nPurple Purple Purple Purple Yellow Purple Brown Red Purple Purple\nPurple Purple Purple Purple Green Gray Yellow Purple Purple Green\n\n\nExample 2\nInput:\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Black Orange Black Yellow Black Black Black Black Black\nBrown Black Black Black Gray Black Brown Black Black Black\nBlack Black Black Black Black Black Purple Blue Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Red Blue\nBlack Black Pink Black Black Black Black Black Black Black\nPink Blue Black Black Black Black Black Black Green Brown\nBlack Black Black Black Gray Black Black Purple Black Red\nBlack Black Black Black Black Black Black Brown Black Purple\n\nOutput:\nPurple Pink Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Orange Purple Yellow Purple Purple Purple Purple Purple\nBrown Purple Purple Purple Gray Purple Brown Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Blue Purple Purple\nPurple Purple Purple Purple Orange Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Brown Purple Purple Purple Red Blue\nPurple Purple Pink Purple Purple Purple Purple Purple Purple Purple\nPink Blue Purple Purple Purple Purple Purple Purple Green Brown\nPurple Purple Purple Purple Gray Purple Purple Purple Purple Red\nPurple Purple Purple Purple Purple Purple Purple Brown Purple Purple\n\n\nExample 3\nInput:\nBlack Black Pink Black Orange Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Yellow\nBlack Black Yellow Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Gray Orange\nBlack Black Black Black Black Black Brown Orange Green Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Purple Blue Black Purple Black Black Blue\nBlack Blue Orange Black Black Black Black Black Yellow Green\n\nOutput:\nPurple Purple Pink Purple Orange Purple Purple Purple Purple Purple\nPurple Gray Purple Purple Purple Purple Purple Purple Purple Purple\nRed Purple Purple Purple Purple Purple Purple Purple Purple Yellow\nPurple Purple Yellow Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Pink Purple Gray Orange\nPurple Purple Purple Purple Purple Purple Brown Orange Green Purple\nPurple Purple Purple Purple Purple Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Blue Purple Purple Purple Purple Blue\nPurple Blue Orange Purple Purple Purple Purple Purple Yellow Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Orange Brown Black Black Gray Gray Black Gray Black\nBlack Black Blue Pink Pink Brown Purple Black Yellow Black\nYellow Black Black Black Black Orange Pink Pink Pink Black\nBlack Black Black Black Black Red Brown Black Black Red\nBlack Black Black Black Black Black Blue Black Black Green\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Gray Brown Blue Black Black\nBlack Purple Gray Brown Black Pink Black Black Black Blue\nBlack Black Pink Black Purple Green Brown Orange Black Black\nBlack Pink Orange Gray Pink Black Pink Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Orange Brown Purple Purple Gray Gray Purple Gray Purple\nPurple Purple Blue Pink Pink Brown Purple Purple Yellow Purple\nYellow Purple Purple Purple Purple Orange Pink Pink Pink Purple\nPurple Purple Purple Purple Purple Red Brown Purple Purple Red\nPurple Purple Purple Purple Purple Purple Blue Purple Purple Green\nPurple Purple Purple Purple Purple Purple Purple Orange Purple Purple\nPurple Purple Purple Purple Purple Gray Brown Blue Purple Purple\nPurple Purple Gray Brown Purple Pink Purple Purple Purple Blue\nPurple Purple Pink Purple Purple Green Brown Orange Purple Purple\nPurple Pink Orange Gray Pink Purple Pink 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 Pink 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 Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink 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 Orange Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Purple Orange Black Black Black Black Black Orange Purple Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Orange 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 Pink Black Black Black\n\n\nExample 2\nInput:\nBlack Black Blue 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 Blue Black\nBlack Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Blue Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Blue Black\nBlack Blue Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Purple 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 Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Purple Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Purple Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\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 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 Pink Blue Black Black Black Black\nBlack Brown Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 Brown 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 Pink Blue Black Black Brown Black\nBlack Brown Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Brown 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:\nBrown Green Gray Red Blue Purple Brown Pink Pink\nGreen Brown Orange Purple Red Purple Purple Pink Green\nGreen Red Purple Red Gray Blue Pink Pink Purple\nBlue Orange Red Blue Purple Yellow Pink Blue Pink\nRed Gray Purple Yellow Yellow Blue Purple Purple Gray\nYellow Purple Orange Yellow Red Gray Purple Red Yellow\nPink Blue Orange Brown Pink Yellow Pink Purple Red\nBlue Purple Purple Purple Blue Brown Orange Pink Purple\nBrown Red Gray Blue Green Yellow Yellow Purple Brown\nPink Orange Yellow Orange Purple Purple Green Blue Orange\nPurple Gray Orange Brown Orange Orange Purple Pink Purple\n\nOutput:\nPink Purple Purple Gray Orange Brown Orange Orange Purple\nBrown Green Gray Red Blue Purple Brown Pink Pink\nGreen Brown Orange Purple Red Purple Purple Pink Green\nGreen Red Purple Red Gray Blue Pink Pink Purple\nBlue Orange Red Blue Purple Yellow Pink Blue Pink\nRed Gray Purple Yellow Yellow Blue Purple Purple Gray\nYellow Purple Orange Yellow Red Gray Purple Red Yellow\nPink Blue Orange Brown Pink Yellow Pink Purple Red\nBlue Purple Purple Purple Blue Brown Orange Pink Purple\nBrown Red Gray Blue Green Yellow Yellow Purple Brown\nPink Orange Yellow Orange Purple Purple Green Blue Orange\n\n\nExample 2\nInput:\nOrange Gray Red Brown Green Brown Purple Blue Orange Green Orange\nBlue Pink Blue Orange Brown Orange Green Yellow Brown Yellow Orange\nRed Red Gray Blue Gray Orange Green Red Pink Red Gray\nBlue Brown Yellow Gray Yellow Blue Orange Orange Orange Pink Blue\nBrown Green Blue Red Blue Green Red Brown Green Blue Orange\nYellow Orange Green Pink Brown Blue Purple Yellow Blue Red Purple\nGray Purple Brown Pink Brown Orange Pink Gray Pink Purple Green\nOrange Blue Yellow Green Blue Purple Brown Blue Red Red Orange\n\nOutput:\nGreen Blue Purple Brown Blue Red Red Orange Orange Blue Yellow\nOrange Gray Red Brown Green Brown Purple Blue Orange Green Orange\nBlue Pink Blue Orange Brown Orange Green Yellow Brown Yellow Orange\nRed Red Gray Blue Gray Orange Green Red Pink Red Gray\nBlue Brown Yellow Gray Yellow Blue Orange Orange Orange Pink Blue\nBrown Green Blue Red Blue Green Red Brown Green Blue Orange\nYellow Orange Green Pink Brown Blue Purple Yellow Blue Red Purple\nGray Purple Brown Pink Brown Orange Pink Gray Pink Purple Green\n\n\nExample 3\nInput:\nPink Red Green Red Blue Red Blue Blue Gray Red\nOrange Purple Green Purple Brown Gray Blue Green Green Yellow\nPurple Pink Pink Pink Red Orange Pink Yellow Pink Gray\nGray Brown Red Pink Green Orange Blue Gray Blue Purple\nGreen Green Purple Yellow Purple Brown Gray Red Yellow Yellow\nBrown Purple Purple Blue Pink Brown Blue Blue Blue Brown\nYellow Yellow Yellow Green Orange Blue Blue Yellow Purple Gray\nOrange Pink Orange Blue Green Blue Orange Blue Red Brown\n\nOutput:\nOrange Blue Green Blue Orange Blue Red Brown Orange Pink\nPink Red Green Red Blue Red Blue Blue Gray Red\nOrange Purple Green Purple Brown Gray Blue Green Green Yellow\nPurple Pink Pink Pink Red Orange Pink Yellow Pink Gray\nGray Brown Red Pink Green Orange Blue Gray Blue Purple\nGreen Green Purple Yellow Purple Brown Gray Red Yellow Yellow\nBrown Purple Purple Blue Pink Brown Blue Blue Blue Brown\nYellow Yellow Yellow Green Orange Blue Blue Yellow Purple Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Blue Red Brown Brown Purple Blue Orange Orange Blue\nPurple Pink Brown Purple Orange Gray Blue Green Brown Blue\nBlue Blue Red Pink Pink Red Blue Green Purple Red\nBrown Green Green Brown Pink Blue Gray Red Orange Green\nBlue Pink Orange Pink Red Blue Orange Red Purple Yellow\nBlue Brown Orange Green Gray Pink Gray Green Green Gray\nBrown Purple Gray Purple Orange Orange Orange Pink Brown Pink\nGray Yellow Orange Yellow Green Yellow Purple Orange Blue Yellow\nPurple Yellow Blue Orange Red Purple Green Red Purple Purple\nBrown Blue Pink Yellow Pink Brown Pink Brown 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 Blue Pink Yellow Pink Brown Pink Brown Pink Pink\nPink Blue Red Brown Brown Purple Blue Orange Orange Blue\nPurple Pink Brown Purple Orange Gray Blue Green Brown Blue\nBlue Blue Red Pink Pink Red Blue Green Purple Red\nBrown Green Green Brown Pink Blue Gray Red Orange Green\nBlue Pink Orange Pink Red Blue Orange Red Purple Yellow\nBlue Brown Orange Green Gray Pink Gray Green Green Gray\nBrown Purple Gray Purple Orange Orange Orange Pink Brown Pink\nGray Yellow Orange Yellow Green Yellow Purple Orange Blue Yellow\nPurple Yellow Blue Orange Red Purple Green Red 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 Orange Orange 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 Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack 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\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Green Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink 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:\nOrange Pink Orange Black Black Black Black Black Black Black Black Black Black\nOrange Pink Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Brown Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Orange Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nGreen Green Black Black Orange Orange Black Black Black Black Black Black\nGreen Green Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange 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 Yellow Yellow Yellow 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 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:\nYellow Orange Orange Orange Black Black Black Black Black Black Black Black\nYellow Orange Orange Orange Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray 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 Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBrown Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Blue Black Black Black Red Black Black Black Black Black Red\nBlue Black Black Blue Red Black Yellow Black Black Black Blue Black\nBlack Blue Blue Red Black Black Black Blue Green Black Red Blue\nBlack Green Black Black Black Yellow Black Black Black Black Black Yellow\nBlack Black Red Black Black Black Black Blue Green Black Black Black\nYellow Blue Black Green Black Black Black Black Black Black Black Black\nYellow Black Black Black Blue Black Black Black Black Red Black Black\nBlack Green Black Black Green Green Black Black Black Black Black Blue\n\nOutput:\nYellow Gray Black Black Black Red Black Black Black Black Black Red\nGray Black Black Gray Red Black Yellow Black Black Black Gray Black\nBlack Gray Gray Red Black Black Black Gray Blue Black Red Gray\nBlack Blue Black Black Black Yellow Black Black Black Black Black Yellow\nBlack Black Red Black Black Black Black Gray Blue Black Black Black\nYellow Gray Black Blue Black Black Black Black Black Black Black Black\nYellow Black Black Black Gray Black Black Black Black Red Black Black\nBlack Blue Black Black Blue Blue Black Black Black Black Black Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Red Black Black Black Red Black\nRed Red Black Black Black Black Black Green Black Yellow\nBlack Black Black Black Black Yellow Black Black Black Red\nYellow Green Blue Black Black Green Black Black Green Black\nYellow Black Black Black Black Red Black Black Yellow Yellow\nBlack Black Black Green Black Blue Yellow Black Green Black\nBlack Red Black Black Black Blue Black Yellow Black Yellow\n\nOutput:\nBlack Black Black Black Red Black Black Black Red Black\nRed Red Black Black Black Black Black Blue Black Yellow\nBlack Black Black Black Black Yellow Black Black Black Red\nYellow Blue Gray Black Black Blue Black Black Blue Black\nYellow Black Black Black Black Red Black Black Yellow Yellow\nBlack Black Black Blue Black Gray Yellow Black Blue Black\nBlack Red Black Black Black Gray Black Yellow Black Yellow\n\n\nExample 3\nInput:\nBlack Yellow Black Black Black Black Green Red Black Black Yellow\nBlack Black Black Black Red Black Black Black Green Green Blue\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Red Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Red Black Black\nGreen Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Red Yellow Blue Yellow Black Black\n\nOutput:\nBlack Yellow Black Black Black Black Blue Red Black Black Yellow\nBlack Black Black Black Red Black Black Black Blue Blue Gray\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Red Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Red Black Black\nBlue Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Red Yellow Gray Yellow Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Black Black Red Red Black\nBlack Blue Black Yellow Black Black Black Black Black\nRed Black Black Black Black Black Black Black Blue\nBlack Red Blue Black Yellow Black Black Black Black\nRed Black Black Red Black Red Black Blue Red\nBlack Black Black Black Blue Black Black Blue Black\nBlack Green Black Black Black Yellow Red Yellow Black\nBlack Green Black Black Black Black Black Black Black\nBlack Black Black Red Green Red 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```\nRed Black Black Black Black Black Red Red Black\nBlack Gray Black Yellow Black Black Black Black Black\nRed Black Black Black Black Black Black Black Gray\nBlack Red Gray Black Yellow Black Black Black Black\nRed Black Black Red Black Red Black Gray Red\nBlack Black Black Black Gray Black Black Gray Black\nBlack Blue Black Black Black Yellow Red Yellow Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Black Red Blue Red 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 Black Black Black Blue Black Black Black Black\nBlack Blue Black Black Black Red Black Purple Black Black Black Black\nBlack Black Red Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Blue Black Black Black Red Black Purple Black Black Black Black\nBlack Black Red Red Red Red Red Brown Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Pink Black Black\nBlack Black Black Red Green Green Red Black Black Black Black Black\nBlack Black Black Red Green Green Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Blue Black Black Black Black Black Green 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 Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Red Red Red Black\nYellow Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Black\nGreen Red Red Red Red Red Black Black Black Black\nGreen Green Green Green Red Red Black Black Black Black\nBlack Green Green Red Red Red Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Yellow Black Black Black Black Blue Black\nBlack Black Black Black Black Green Black Black Blue Black Black\nBlue Black Black Black Gray 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 Purple\nBlack Black Black Black Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Green Black Black Black Black Black Black\nBlack Blue Black Green Green Black Black Black Black Blue Black\nBlack Black Black Black Black Green Black Black Blue Black Black\nBlue Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Purple\nBlack Red Red Red Red Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Yellow Black Blue Black Black Black Blue\nGray Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black\nYellow Black Black Purple Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Brown\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Red Red Red Red Black Black Black Blue\nGray Red Red Red Red Black Black Black Black\nBlack Red Red Red Red Black Black Black Black\nRed Red Red Red Red Black Black Black Black\nRed Red Red Red Black Black Black Black Green\nRed Red Red Red Black Black Black Black Brown\nRed Red 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Pink Black Gray Pink Blue Black Black Black Black Black\nBlack Black Blue Pink Black Purple Purple Purple Purple Black Brown Black Black\nBlack Blue Blue Black Black Purple Purple Purple Purple Brown Blue Brown Black\nBlack Black Black Black Black Gray Pink Blue Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Purple Blue Green Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Green Blue Black Black Black Black Black Black Black Black Black Black\nPurple Purple Pink Purple Black Brown Black Black Black Black Black Black Black\nPurple Blue Pink Purple Brown Blue Brown Black Black Black Black Black Black\nBlue Blue Blue Blue Black Brown Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Pink Purple Green Green Black Black Black Black Black Black\nBlack Black Black Pink Green Black Black Black Black Black Black Black\nBlack Black Black Pink Green Black Black Black Black Black Black Black\nBlack Black Pink Purple Green Green 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 Purple Purple Purple Purple Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Gray Black Gray Gray Black Purple Purple Purple Purple Black\nBlack Black Gray Blue Blue Black Black Brown Black Black Black Black\nBlack Black Black Blue Blue Gray Brown Green Brown Black Black Black\nBlack Black Gray Gray Black Gray Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Purple Purple Purple Purple Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black\nPink Purple Green Green Black Purple Purple Purple Purple Black Black Black\nGray Pink Green Black Black Brown Black Black Black Black Black Black\nBlack Pink Green Gray Brown Green Brown Black Black Black Black Black\nPink Purple Green Green Black Brown Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black\nBlue Purple Purple Purple Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Brown Black Black Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Orange Green Orange Black Black Black Black Black\nBlack Black Black Black Black Black Brown Green Brown 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 Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Pink 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 Black Black Black Black Black Black Black Orange 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\n\n\nDirectly provide the output grids corresponding to the given test input 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 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\nBlue Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Orange Black Black Black Black Black Black Black Black Black Black Black\nBlue Brown Green 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 Pink Black\nBlack Black Red Black Black\nBlack Brown Pink Green Black\nPink Pink Pink Black Black\n\nOutput:\nBlack Black Black Yellow Black\nBlack Black Yellow Black Black\nBlack Yellow Yellow Yellow Black\nGreen Green Green Black Black\n\n\nExample 2\nInput:\nOrange Orange Black Black\nBlack Black Green Black\nBlack Red Black Red\nPurple Black Black Red\nBlack Black Pink Black\n\nOutput:\nGreen Green Black Black\nBlack Black Yellow Black\nBlack Green Black Green\nYellow Black Black Yellow\nBlack Black Yellow Black\n\n\nExample 3\nInput:\nYellow Green Black Black Black\nBlack Black Purple Green Green\nPink Black Orange Black Black\nBlack Orange Black Black Black\nBlue Black Black Pink Black\n\nOutput:\nYellow Yellow Black Black Black\nBlack Black Yellow Green Green\nYellow Black Yellow Black Black\nBlack Yellow Black Black Black\nYellow Black Black Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black\nBlue Orange Black\nBlack 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```\nBlack Black Black\nYellow Yellow Black\nBlack Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Orange Black Orange Black Red Red Purple Purple Purple Purple Black\nOrange Orange Orange Orange Orange Red Red Purple Purple Purple Purple Black\nBlack Orange Orange Orange Black Yellow Yellow Black Black Black Black Black\nOrange Orange Orange Orange Orange Gray Gray Black Black Black Black Black\nBlack Orange Black Orange Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Blue Black Blue Black Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Black Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Black Blue Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Green Green Red Red Black Black Black\nBlack Black Black Black Black Green Green Red Red Black Black Black\nBlack Purple Black Purple Blue Pink Pink Yellow Yellow Black Black Black\nBlack Gray Purple Gray Black Pink Pink Black Black Black Black Black\nBlack Gray Purple Gray Black Pink Pink Black Black Black Black Black\nBlack Purple Black Purple Blue Pink Pink Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Blue Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Black Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Black Blue Blue Black Black Black Black Black\nBlack Blue Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Gray Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Gray Gray Gray Blue Blue Black Black Black Black Black\nBlack Gray Gray Gray Black Black Orange Black Black Black Black Black\nBlack Black Black Gray Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Black Blue Black Black Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Red Red Black Green Black Black Black Black Black\nBlack Black Black Red Red Green Green Green Black Black Black Black\nBlack Black Black Red Red Green Green Green Black Green Green Black\nBlack Black Black Red Red Green Green Green Green Gray Gray Green\nBlack Black Black Red Red Black Black Black Green Gray Gray Green\nBlack Black Black Black Black Black Black Purple Purple Gray Gray Black\nBlack Black Black Black Black Black Black Purple Purple Gray Gray Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Gray Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBrown Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Green 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\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Gray Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBrown Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Green 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\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange 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 Brown Black Black Blue Blue Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Green Green Black Black Brown Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Pink Black Black Red Black Black Black Purple Purple Black Black Black Black\nBlack Black Pink Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Blue Blue Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Green Green Black Black Brown Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Pink Black Black Red Black Black Black Purple Purple Black Black Black Black\nBlack Black Pink Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Red Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack 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:\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\nPurple Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Red Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red 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 Yellow Yellow Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Yellow Gray Black Black Brown\nBlack Black Black Gray Black Black Gray Black Black Black\nBlack Black Black Black Purple Black Black Pink Brown Black\nBlack Green Black Black Gray Purple Yellow Black Black Black\nBrown Black Black Green Black Black Black Black Yellow Black\nBlack Black Green Black Black Black Yellow Black Black Black\nBlack Black Green Black Black Purple Black Black Black Black\nPink Black Black Blue Brown Brown Black Blue Black Black\nGreen Black Pink Black Black Black Gray Black Green Black\nGray Black Black Black Brown Black Red Black Black Black\n\nOutput:\nBlack Black Gray Gray Yellow Yellow Yellow Gray Brown Brown\nBlack Black Gray Gray Yellow Yellow Yellow Gray Brown Brown\nGreen Green Gray Gray Gray Gray Gray Gray Pink Brown\nGreen Green Green Purple Purple Purple Pink Pink Pink Brown\nGreen Green Green Gray Gray Gray Purple Yellow Yellow Yellow\nBrown Brown Green Green Green Yellow Yellow Yellow Yellow Yellow\nPink Green Green Green Purple Yellow Yellow Yellow Blue Black\nPink Green Green Green Purple Purple Purple Blue Blue Green\nPink Pink Blue Blue Blue Brown Brown Blue Blue Green\nGreen Green Pink Pink Brown Gray Gray Gray Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Gray Black Gray\nBlack Black Red Black Purple Black Black Gray Black Green\nBlack Black Black Black Black Black Orange Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Green Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Red Black Purple Black Blue Black Green\nBlack Pink Black Black Black Black Black Green Blue Black\nBlack Black Black Black Red Gray Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Orange\n\nOutput:\nBlack Red Red Red Purple Purple Gray Gray Gray Gray\nBlack Red Red Red Purple Purple Gray Gray Gray Gray\nBlack Red Red Red Purple Purple Gray Gray Gray Green\nPurple Purple Purple Black Green Orange Orange Orange Green Green\nPurple Purple Purple Black Green Green Green Orange Black Black\nPurple Purple Purple Purple Green Green Green Orange Blue Green\nPink Purple Purple Purple Red Purple Purple Blue Blue Green\nPink Purple Purple Purple Red Purple Purple Blue Blue Green\nPink Pink Pink Red Red Red Green Green Green Blue\nBlack Black Black Red Red Red Gray Green Green Orange\n\n\nExample 3\nInput:\nBlack Blue Gray Black Black Black Black Black Brown Black\nBlack Gray Yellow Black Green Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nPurple Brown Black Blue Black Black Black Black Black Black\nBlack Gray Black Gray Blue Black Black Black Purple Black\nBlack Black Black Black Black Purple Black Purple Black Black\nBlack Black Yellow Black Black Black Black Black Yellow Black\nBlack Green Black Pink Black Black Black Black Black Black\nBlack Black Purple Black Green Black Blue Black Black Purple\nBlack Black Black Black Black Black Black Gray Black Black\n\nOutput:\nBlue Blue Blue Gray Green Green Black Brown Brown Brown\nBlue Blue Blue Gray Green Green Black Brown Brown Brown\nGray Gray Gray Yellow Green Green Black Black Black Black\nPurple Green Green Green Blue Blue Black Purple Purple Purple\nPurple Purple Brown Blue Blue Blue Purple Purple Purple Purple\nGray Gray Gray Gray Gray Blue Purple Purple Purple Purple\nGreen Yellow Yellow Yellow Purple Purple Purple Purple Purple Yellow\nGreen Yellow Yellow Yellow Pink Green Blue Yellow Yellow Yellow\nGreen Green Green Pink Pink Green Blue Blue Purple Purple\nBlack Purple Purple Purple Green Green Blue Blue Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Purple Pink Purple Black Gray Black Black Black Black\nBlack Orange Brown Brown Black Black Black Black Red Black\nBlack Black Black Pink Black Black Black Black Black Gray\nGray Black Black Pink Black Black Black Black Black Black\nGray Black Orange Black Black Orange Black Black Black Purple\nBlack Black Black Black Black Black Yellow Black Purple Black\nBlack Blue Gray Black Black Orange Black Pink Red Brown\nBrown Green Black Black Brown Purple Blue Black Black Orange\nBlack Gray Brown Black Black Black Green Green Red Red\nPink Orange Red Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Pink Purple Gray Gray Red Red Red\nPurple Purple Purple Pink Purple Gray Gray Red Red Red\nOrange Orange Orange Brown Brown Black Black Red Red Red\nGray Gray Pink Pink Pink Orange Orange Black Gray Gray\nGray Gray Pink Pink Pink Orange Orange Yellow Purple Purple\nGray Gray Orange Orange Orange Orange Orange Yellow Purple Purple\nBlue Blue Blue Gray Orange Yellow Yellow Yellow Purple Purple\nBlue Blue Blue Gray Orange Orange Orange Pink Pink Red\nBrown Brown Green Brown Brown Brown Purple Blue Orange Orange\nGray Gray Gray Brown Black Green Green Green Green Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple 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 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple 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 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 Purple Purple 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 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink 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 Black Black Black Black\nBlack Black Black 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 Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nDirectly provide the output grids corresponding to the given test input 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink 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 Black Black Black Black\nBlack Black Black 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 Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Pink Pink Pink Black Black\nBrown Brown Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Black Pink Pink Black\nPink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Purple Purple Purple Purple Black\nPink Pink Pink Pink Black Purple Purple Purple Purple Black\nPink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\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 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Orange Black Black Black Black\nBlack Red Red Black Black Orange Orange Black Black Black\nBlack Red Red Red Black Orange Orange Black Black Black\nBlack Red Red Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\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:\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Red Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Green\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 Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nPink Pink Black Black Black Black Gray Gray Gray Black\nPink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\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"
}
]
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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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Red Red Green Green Brown Brown Gray Gray Blue Blue\nYellow Yellow Red Red Green Green Brown Brown Gray Gray Blue Blue\n\nOutput:\nBlue Blue Gray Gray Brown Brown Green Green Red Red Yellow Yellow\nBlue Blue Gray Gray Brown Brown Green Green Red Red Yellow Yellow\nYellow Yellow Red Red Green Green Brown Brown Gray Gray Blue Blue\nYellow Yellow Red Red Green Green Brown Brown Gray Gray Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Brown Brown Purple Purple Red Red Gray Gray\nBlue Blue Brown Brown Purple Purple Red Red Gray Gray\n\nOutput:\nGray Gray Red Red Purple Purple Brown Brown Blue Blue\nGray Gray Red Red Purple Purple Brown Brown Blue Blue\nBlue Blue Brown Brown Purple Purple Red Red Gray Gray\nBlue Blue Brown Brown Purple Purple Red Red Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Purple Purple Green Green Red Red Brown Brown\nPink Pink Purple Purple Green Green Red Red Brown Brown\n\nOutput:\nBrown Brown Red Red Green Green Purple Purple Pink Pink\nBrown Brown Red Red Green Green Purple Purple Pink Pink\nPink Pink Purple Purple Green Green Red Red Brown Brown\nPink Pink Purple Purple Green Green Red Red Brown Brown\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\nPurple Purple Brown Brown Red Red Blue Blue Green Green Orange Orange Yellow Yellow\nPurple Purple Brown Brown Red Red Blue Blue Green Green Orange Orange 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 Orange Orange Green Green Blue Blue Red Red Brown Brown Purple Purple\nYellow Yellow Orange Orange Green Green Blue Blue Red Red Brown Brown Purple Purple\nPurple Purple Brown Brown Red Red Blue Blue Green Green Orange Orange Yellow Yellow\nPurple Purple Brown Brown Red Red Blue Blue Green Green Orange Orange Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Red Pink Black Pink Red Black Black Black Black Black Black\nBlack Black Pink Black Black Orange Black Brown Black Black Black Orange\nBlack Black Yellow Black Black Black Purple Black Black Black Blue Black\nBlack Red Black Black Black Purple Orange Black Orange Black Black Gray\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Orange Yellow Black Orange Black Pink Black Black Purple\nOrange Blue Black Yellow Black Black Black Orange Black Black Purple Black\nYellow Pink Black Purple Black Orange Green Black Black Orange Black Black\n\nOutput:\nBlack Black Pink Black Black Orange Black Brown Black Black Black Orange\nBlack Black Yellow Black Black Black Purple Black Black Black Blue Black\nBlack Red Black Black Black Purple Orange Black Orange Black Black Gray\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Orange Yellow Black Orange Black Pink Black Black Purple\nOrange Blue Black Yellow Black Black Black Orange Black Black Purple Black\nYellow Pink Black Purple Black Orange Green Black Black Orange Black Black\nOrange Blue Black Yellow Black Black Black Orange Black Black Purple Black\n\n\nExample 2\nInput:\nBlack Green Pink Green Black Black Black Black Black Black\nBlack Green Pink Black Black Black Black Blue Black Black\nBlack Brown Black Black Purple Yellow Black Black Black Red\nBlack Gray Pink Black Black Black Yellow Black Black Black\nBlack Black Black Black Purple Black Black Black Blue Purple\nBrown Brown Black Purple Black Black Pink Black Yellow Black\nBlack Black Black Black Gray Black Black Black Blue Black\n\nOutput:\nBlack Green Pink Black Black Black Black Blue Black Black\nBlack Brown Black Black Purple Yellow Black Black Black Red\nBlack Gray Pink Black Black Black Yellow Black Black Black\nBlack Black Black Black Purple Black Black Black Blue Purple\nBrown Brown Black Purple Black Black Pink Black Yellow Black\nBlack Black Black Black Gray Black Black Black Blue Black\nBrown Brown Black Purple Black Black Pink Black Yellow Black\n\n\nExample 3\nInput:\nBlack Brown Yellow Green Yellow Black Black Black Gray Black Brown\nBlack Black Black Black Black Green Black Black Black Black Black\nBlack Black Purple Black Black Gray Black Black Gray Black Black\nBlack Orange Black Black Black Black Yellow Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Orange Black Black Black Black\nBlack Red Black Blue Pink Gray Black Black Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Green Black Black Black Black Black\nBlack Black Purple Black Black Gray Black Black Gray Black Black\nBlack Orange Black Black Black Black Yellow Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Orange Black Black Black Black\nBlack Red Black Blue Pink Gray Black Black Yellow Black Black\nBlack Black Brown Black Black Black Orange Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Black Black Pink Purple Blue Gray Black\nBlack Black Black Black Black Black Black Black Red\nBlack Black Black Brown Black Orange Black Yellow Gray\nBlack Black Black Orange Black Black Black Black Red\nBlack Black Blue Black Yellow Black Black Blue Black\nGreen Black Black Purple Black Black Black Black Brown\nBlack Black Black Black Black Black Black Green Black\nOrange Black Purple Black Black Black Black Black Blue\nGray Black Black Black Black Gray Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Red\nBlack Black Black Brown Black Orange Black Yellow Gray\nBlack Black Black Orange Black Black Black Black Red\nBlack Black Blue Black Yellow Black Black Blue Black\nGreen Black Black Purple Black Black Black Black Brown\nBlack Black Black Black Black Black Black Green Black\nOrange Black Purple Black Black Black Black Black Blue\nGray Black Black Black Black Gray Gray Black Black\nOrange Black Purple Black Black Black Black Black Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black 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\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 Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Purple Purple Black Purple Black Black\nBlack Black Black Black Purple Purple Black Black Black Purple Purple Black\nBlack Black Black Black Purple Black Purple Purple Purple Black Purple Black\nBlack Black Black Black Purple Black Purple Purple Black Purple Purple Black\nBlack Black Black Black Purple Black Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Black Purple Purple Black Black\nBlack Black Black Black Black Purple Black Black Purple 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 Purple Purple Black Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Purple Black Purple Purple 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\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 Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Black Purple Black Black\nBlack Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Purple Black Black Purple Black Black\nBlack Black Purple Purple Purple Purple Black Black Black\nBlack Purple Purple Black Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Purple Black Black\nBlack Black Purple Purple Purple Black Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Black Purple Purple Purple Black Black\nBlack Black Purple Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Blue Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Red Red Red Black Black Black Black Black Black\nRed Red Red Black Black Black Black Red Red Red\nBlack Red Red Red Black Black Black Red Red Red\n\nOutput:\nBlack Black Blue Black\nBlue Blue Blue Black\nBlack Blue Blue Blue\nBlack Blue Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Brown Black Black\nBlack Black Black Black Black Black Orange Brown Black Black\nBlack Black Black Blue Black Black Orange Brown Black Black\nBlack Blue Blue Blue Blue Black Black Brown Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Pink Pink\nBlack Black Blue Black Black Black Black Black Pink Pink\n\nOutput:\nBlack Black Blue Black\nBlue Blue Blue Blue\nBlack Black Blue Black\n\n\nExample 3\nInput:\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nRed Red Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Red Red Red\nBlack Blue Blue Blue Blue Black Black Black Red Black\nBlack Blue Blue Blue Blue Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue\nBlue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Blue Black Black Black Black Black Blue\nBlack Black Black Blue Black Black Black Blue Blue Blue\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Pink Red Red Black Black Green Green Black Black\nBlack Pink Red Red Black Black Black Purple Pink Black\nBlack Black Black Black Black Blue Black Black Orange Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Gray Gray Gray Black Black Blue Black Black Black\nPurple Brown Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black\nBlue Blue\nBlack Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow 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 Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow\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 Green Green Green Green Black Black Green Green Black Black\nBlack Black Green Green Green Green Black Black Green Green Black Black\nBlack Black Green Green Black Black Green Green Green Green Black Black\nBlack Black Green Green Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green\nGreen Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green\nGreen Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green\nGreen Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Green Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green\nGreen Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green\nGreen Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green\nGreen Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Green Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green\nGreen Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green\nGreen Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green\nGreen Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Green Green\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green 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 Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green\nBlack Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green Green Green\nBlack Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green\nBlack Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green Green Green\nBlack Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green\nBlack Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green Green Green\nBlack Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray 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 Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Gray\n```",
"role": "assistant"
}
]
|
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