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{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nOrange Orange Orange Orange Black Black Black Black Green Green Pink Pink Pink Pink Black Black Black\nOrange Orange Orange Orange Brown Brown Blue Blue Green Green Pink Pink Pink Pink Black Black Black\nOrange Orange Orange Orange Pink Pink Blue Blue Green Green Black Black Black Black Black Black Black\nOrange Orange Orange Orange Pink Pink Yellow Yellow Yellow Green Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink 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 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 Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nGreen Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Purple Purple Purple Purple Black Orange Orange Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Orange Orange Black Black Black Pink Pink Black\nBlack Black Purple Purple Purple Purple Yellow Orange Orange Black Black Black Pink Pink Black\nBlack Black Orange Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Green Green Green Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Orange Orange Orange Black Brown Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Orange Orange Orange Black Brown Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Green Green Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Green Green Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black 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\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 Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green 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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack 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\nBlack Black Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black\nBlack Black Pink Pink Pink Brown Brown Brown Black Gray Gray Gray Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Pink Pink Black Black Black\nBlack Black Black Black Black Black Gray Gray Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Gray Gray Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green\nBlack Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green\nBlack Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green\nBlack Black Green Green Green Green Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Red Red Pink Pink Red Red\nBlack Black Black Black Red Red Pink Pink Red Red\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Black Black Red Red Pink Pink\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\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black Green Green Green Green Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Black Black Red Red Pink Pink\n\n\nExample 3\nInput:\nGreen Green Green Green Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Green Green Green Green Black Black Black Black\nGreen Green Green Green Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Red Red Pink Pink Red Red\nBlack Black Black Black Red Red Pink Pink Red Red\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Red Red Pink Pink Red Red\nBlack Black Black Black Red Red Pink Pink Red Red\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Black Black Red Red Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Red Red Pink Pink Red Red\nBlack Black Black Black Red Red Pink Pink Red Red\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Red Red Pink Pink Red Red\nBlack Black Black Black Red Red Pink Pink Red Red\nBlack Black Black Black Black Black Red Red Pink Pink\nBlack Black Black Black Black Black Red Red 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 Blue Blue Yellow Yellow Black\nGreen Green Black Green Yellow Yellow Black\nGreen Green Black Green Green Yellow Blue\nBlack Black Black Black Black Yellow Blue\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGreen Green Green Black Black Black Black\nGreen Green Green Black Black Black Blue\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPurple Red Purple\nBlack Purple Purple\n\nOutput:\nBlack Black Black\nBlack Black Black\nBlack Black Red\nBlack Purple Purple\n\n\nExample 3\nInput:\nBlack Blue Blue Green Green Purple\nBlack Green Green Black Black Purple\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Blue Blue Blue\nBlack Black Yellow Yellow Green Green\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:\nGreen Green Black Black\nGreen Green Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black\nBlack Black Black Black\nYellow Yellow Green Black\nGreen Green Green Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\n\nOutput:\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Yellow Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack 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 Yellow Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Yellow Black Black Black Black Black Blue Black Black\nBlack Yellow Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Yellow\nBlack Black Black Black Black Black Black Black 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 Black Black Black Yellow 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 Yellow\nBlack Black Black Black Blue Black Black Black Yellow\nBlack Black Black Black Black Black Black Black 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 Black Black Black Yellow 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 Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black\nBlack Black Yellow Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Yellow Black Black\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 Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Yellow Black Black Black\nBlack Black Yellow Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\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\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 Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Red 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 Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Green 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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Red 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\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 Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Green 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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with 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 Black Black\nBlack 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\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Orange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange\nBlack Black Orange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange\nOrange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Black Black Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Orange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange\nBlack Black Orange Orange Black Black Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange\nOrange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange\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\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray 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 Pink Pink Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Black Black Pink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nPink Pink Black Black Pink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Black Black Pink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nPink Pink Black Black Pink Pink Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink 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:\nBrown Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nGray Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown 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\nBrown Brown Brown 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\nBrown Brown Brown Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBrown Brown Brown Black Black Black Green Green Green Brown Brown Brown Black Black Black Green Green Green Blue Blue Blue Green Green Green Gray Gray Gray Black Black Black\nBrown Brown Brown Black Black Black Green Green Green Brown Brown Brown Black Black Black Green Green Green Blue Blue Blue Green Green Green Gray Gray Gray Black Black Black\nBrown Brown Brown Black Black Black Green Green Green Brown Brown Brown Black Black Black Green Green Green Blue Blue Blue Green Green Green Gray Gray Gray Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nRed Red Red Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Blue Blue Blue 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 Green Green Green Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Gray Gray Gray\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Gray Gray Gray\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Green Green Green Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Green Green Green Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Green Green Green Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown 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\nBrown Brown Brown 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\nBrown Brown Brown Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray\nBrown Brown Brown Black Black Black Green Green Green Brown Brown Brown Black Black Black Green Green Green Blue Blue Blue Green Green Green Gray Gray Gray Black Black Black\nBrown Brown Brown Black Black Black Green Green Green Brown Brown Brown Black Black Black Green Green Green Blue Blue Blue Green Green Green Gray Gray Gray Black Black Black\nBrown Brown Brown Black Black Black Green Green Green Brown Brown Brown Black Black Black Green Green Green Blue Blue Blue Green Green Green Gray Gray Gray Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nRed Red Red Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Blue Blue Blue 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 Green Green Green Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Gray Gray Gray\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Gray Gray Gray\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Green Green Green Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Green Green Green Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Gray Gray Gray Blue Blue Blue Green Green Green Black Black Black Gray Gray Gray Black Black Black Black Black Black Brown Brown Brown\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue 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 Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue 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 Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Blue Blue Blue Black Black Black Gray Gray Gray 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Black Black Black Red Red Red\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Purple Purple Purple Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nRed Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nRed Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nRed Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Brown Brown Brown Red Red Red\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Brown Brown Brown Red Red Red\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Brown Brown Brown Red Red Red\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Brown Brown Brown Black Black Black Red Red Red\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nRed Red Red Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nRed Red Red Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nRed Red Red Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple\nBrown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Brown Brown Brown Red Red Red\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Brown Brown Brown Red Red Red\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Brown Brown Brown Red Red Red\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue 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 Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue 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 Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue 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 Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Red Brown Blue Red Orange Orange Black\nBrown Pink Black Brown Red Purple Yellow Orange\nOrange Pink Gray Pink Red Pink Gray Orange\nYellow Purple Yellow Pink Orange Green Gray Green\nGray Pink Orange Red Pink Green Orange Green\nPink Yellow Pink Pink Green Brown Yellow Brown\nPurple Brown Green Black Yellow Red Purple Yellow\nRed Pink Orange Orange Purple Pink Brown Green\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black\nBlack Pink Black Pink Black Pink Black Black\nBlack Black Black Pink Black Black Black Black\nBlack Pink Black Black Pink Black Black Black\nPink Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Pink Black Black Black Pink Black Black\n\n\nExample 2\nInput:\nBlack Pink Yellow Pink Red Orange Gray\nBlue Brown Purple Black Brown Orange Black\nRed Purple Purple Pink Green Gray Orange\nGray Brown Orange Yellow Green Pink Blue\nBlack Black Orange Purple Pink Black Orange\nYellow Orange Purple Gray Green Red Yellow\nBlue Purple Gray Red Black Blue Gray\n\nOutput:\nBlack Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\nYellow Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Pink Red Green Orange Yellow Purple\nGreen Yellow Orange Gray Brown Brown Red\nBlue Gray Black Orange Purple Black Black\nBrown Brown Black Brown Green Black Red\nRed Brown Purple Brown Purple Orange Green\nBlack Black Red Brown Gray Brown Red\nPink Orange Pink Pink Black Pink Black\nOrange Green Yellow Yellow Yellow Orange Green\nGray Pink Blue Gray Red Blue Brown\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black\nBrown Brown Black Brown Black Black Black\nBlack Brown Black Brown Black Black Black\nBlack Black Black Brown Black Brown Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown\n\n\nHere is the input grid for the test example:\nInput:\nBrown Yellow Gray Yellow Pink Blue Black Purple Brown\nYellow Gray Orange Black Black Gray Red Green Orange\nRed Yellow Purple Blue Pink Red Brown Black Black\nGray Gray Green Gray Green Red Brown Gray Blue\nPurple Purple Black Brown Pink Purple Blue Black Brown\nYellow Purple Pink Brown Orange Pink Orange Green Green\nPurple Pink Pink Purple Red Orange Orange Yellow Pink\nBlack Gray Gray Blue Yellow Orange Purple Yellow Black\nGray Gray Brown Orange Pink Green Pink Blue Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Pink 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 Pink Black Black Black Black\nBlack Black Pink Black Black Pink Black Black Black\nBlack Pink Pink Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Pink Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Yellow Red Purple Brown Orange Pink Gray\nYellow Red Gray Gray Orange Blue Pink Brown\nBrown Gray Green Purple Blue Red Red Yellow\nBrown Green Orange Purple Gray Purple Brown Pink\nYellow Green Purple Red Pink Orange Green Gray\nGreen Green Gray Purple Gray Green Yellow Blue\nBlue Purple Red Gray Orange Yellow Pink Orange\nBrown Pink Green Purple Orange Green Purple Purple\nRed Yellow Brown Pink Pink Purple Blue Brown\nGray Yellow Green Red Red Purple Yellow Purple\n\nOutput:\nBrown Red Green Purple Brown Orange Pink Gray\nRed Green Gray Gray Orange Yellow Pink Brown\nBrown Gray Blue Purple Yellow Green Green Red\nBrown Blue Orange Purple Gray Purple Brown Pink\nRed Blue Purple Green Pink Orange Blue Gray\nBlue Blue Gray Purple Gray Blue Red Yellow\nYellow Purple Green Gray Orange Red Pink Orange\nBrown Pink Blue Purple Orange Blue Purple Purple\nGreen Red Brown Pink Pink Purple Yellow Brown\nGray Red Blue Green Green Purple Red Purple\n\n\nExample 2\nInput:\nGreen Orange Brown Green Yellow Yellow Green Brown Pink Yellow\nPink Purple Gray Red Purple Purple Red Red Blue Brown\nOrange Red Brown Orange Purple Gray Purple Purple Brown Pink\nPink Gray Brown Pink Brown Purple Red Green Blue Gray\nYellow Orange Yellow Blue Gray Yellow Green Blue Red Gray\nYellow Red Orange Gray Pink Orange Orange Gray Gray Gray\nYellow Orange Brown Green Red Green Gray Purple Green Brown\n\nOutput:\nBlue Orange Brown Blue Red Red Blue Brown Pink Red\nPink Purple Gray Green Purple Purple Green Green Yellow Brown\nOrange Green Brown Orange Purple Gray Purple Purple Brown Pink\nPink Gray Brown Pink Brown Purple Green Blue Yellow Gray\nRed Orange Red Yellow Gray Red Blue Yellow Green Gray\nRed Green Orange Gray Pink Orange Orange Gray Gray Gray\nRed Orange Brown Blue Green Blue Gray Purple Blue Brown\n\n\nExample 3\nInput:\nGray Pink Gray Red Purple Brown Red Green Pink\nRed Pink Blue Brown Green Red Brown Yellow Gray\nBlue Red Orange Purple Pink Brown Yellow Brown Pink\nGray Yellow Blue Gray Pink Purple Brown Pink Gray\nGray Green Purple Pink Green Green Blue Gray Blue\nYellow Green Orange Blue Green Green Pink Brown Brown\nGray Red Brown Pink Gray Red Yellow Brown Purple\n\nOutput:\nGray Pink Gray Green Purple Brown Green Blue Pink\nGreen Pink Yellow Brown Blue Green Brown Red Gray\nYellow Green Orange Purple Pink Brown Red Brown Pink\nGray Red Yellow Gray Pink Purple Brown Pink Gray\nGray Blue Purple Pink Blue Blue Yellow Gray Yellow\nRed Blue Orange Yellow Blue Blue Pink Brown Brown\nGray Green Brown Pink Gray Green Red Brown Purple\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Brown Green Red Green Blue Yellow Brown\nGreen Red Brown Brown Brown Red Yellow Purple Yellow\nBrown Gray Blue Blue Pink Orange Blue Purple Orange\nPurple Orange Green Brown Blue Green Purple Purple Orange\nPurple Orange Blue Yellow Yellow Orange Brown Pink Green\nYellow Pink Red Orange Gray Purple Pink Green Orange\nPurple Blue Purple Gray Orange Blue Blue Purple Orange\nBrown Pink Purple Red Brown Green Red Pink Green\nBrown Gray Yellow Gray Pink Orange Blue Orange Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Brown Blue Green Blue Yellow Red Brown\nBlue Green Brown Brown Brown Green Red Purple Red\nBrown Gray Yellow Yellow Pink Orange Yellow Purple Orange\nPurple Orange Blue Brown Yellow Blue Purple Purple Orange\nPurple Orange Yellow Red Red Orange Brown Pink Blue\nRed Pink Green Orange Gray Purple Pink Blue Orange\nPurple Yellow Purple Gray Orange Yellow Yellow Purple Orange\nBrown Pink Purple Green Brown Blue Green Pink Blue\nBrown Gray Red Gray Pink Orange Yellow Orange 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\nBlack Black Black Black Black\nBlack Blue Blue Black Black\nBlack Blue Blue Black Black\nBlack Red Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Blue Blue Black Black\nBlack Blue Blue Black Black\nBlack Black Red Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nRed Black Black Black Black\nBlack Black Blue Blue Black\nBlack Black Blue Blue Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Blue Blue Black\nBlack Black Blue Blue Black\nBlack Black Black Red Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Blue Blue Black\nBlack Black Blue Blue Black\nBlack Black Black Black Black\nBlack Red Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Blue Blue Black\nBlack Black Blue Blue Black\nBlack Black Black Red Black\nBlack Black Black Black Black\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\nBlue Blue Black Black Red\nBlue Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlue Blue Black Black Black\nBlue Blue Red Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Black Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Black Black Black Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Black Yellow Black Black Black Yellow Yellow Black Yellow Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Yellow Yellow Yellow Black Black Yellow Black Black Black Yellow Black Yellow Black Yellow Black Black\nYellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Black Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Black Black Yellow Black Yellow\nBlack Yellow Yellow Black Black Yellow Black Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black\nBlack Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Black Black Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black\nBlack Yellow Black Black Black Black Yellow Black Yellow Black Yellow Black Yellow Black Black Yellow Black Yellow Black Yellow\nYellow Yellow Black Black Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow\nYellow Black Yellow Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow\nBlack Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow\nYellow Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Black Black Yellow\nYellow Yellow Yellow Black Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow\nYellow Black Yellow Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Black Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Black Black Black Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Black Yellow Black Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Black\nYellow Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Black Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Black Black Yellow Black Yellow\nBlack Yellow Yellow Black Black Yellow Black Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black\nBlack Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Black Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow\nYellow Black Yellow Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow\nBlack Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow\nYellow Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Yellow\nYellow Yellow Yellow Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow\nYellow Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Green Black Green Black Green Green Green Black Black Green Green Black Green Green Black Black Black Black Green\nGreen Black Green Black Black Green Green Green Black Black Green Black Green Green Green Black Green Green Black Black\nBlack Green Green Green Black Green Green Green Green Green Green Black Green Black Green Green Green Black Black Green\nGreen Green Black Black Green Green Green Black Black Black Black Black Black Black Green Black Black Green Green Green\nBlack Green Green Black Green Green Green Black Black Black Black Green Black Green Green Green Green Green Black Black\nGreen Green Green Black Green Green Black Green Black Black Black Green Green Green Green Green Black Green Green Green\nGreen Green Green Black Green Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green\nGreen Green Black Black Green Green Green Green Black Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Green Green Green Green Green Black Green Green Black Black Green Green Black Green Green Green\nBlack Black Green Black Green Black Green Green Green Black Green Green Green Green Green Green Black Green Green Black\nBlack Green Green Black Green Green Black Black Green Black Green Green Black Black Green Green Green Black Green Green\nBlack Green Green Black Black Green Black Green Green Green Green Green Black Green Black Green Black Black Green Green\nGreen Green Green Green Green Green Black Green Green Green Green Green Black Green Green Green Black Green Green Green\nGreen Green Black Black Green Black Green Black Green Green Green Green Black Green Black Black Green Black Green Green\nBlack Black Green Green Black Green Black Green Green Green Black Green Green Black Black Green Green Green Green Green\nGreen Green Green Green Black Black Green Green Green Green Black Green Green Green Black Green Black Green Black Black\nBlack Green Green Green Black Green Green Black Green Green Black Green Green Black Green Green Green Green Green Green\nGreen Green Black Green Green Black Black Green Black Green Green Green Green Green Green Black Black Green Green Green\nGreen Black Green Green Green Green Black Green Green Green Green Green Green Green Green Green Green Black Green Green\nGreen Green Black Black Green Green Green Green Black Black Green Green Black Green Green Green Green Green Green Green\n\nOutput:\nBlack Green Black Green Black Green Green Green Black Black Green Green Black Green Green Black Black Black Black Green\nGreen Black Green Black Black Green Green Green Black Black Green Black Green Green Green Black Green Green Black Black\nBlack Green Green Green Black Green Green Green Green Green Green Black Green Black Green Green Green Black Black Green\nGreen Green Black Black Green Green Green Black Green Green Green Black Black Black Green Black Black Green Green Green\nBlack Green Green Black Green Green Green Black Green Green Green Green Black Green Green Green Green Green Black Black\nGreen Green Green Black Green Green Black Green Green Green Green Green Green Green Green Green Black Green Green Green\nGreen Green Green Black Green Green Green Green Green Green Green Green Black Black Green Green Green Green Green Green\nGreen Green Black Black Green Green Green Green Black Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Green Green Green Green Green Black Green Green Black Black Green Green Black Green Green Green\nBlack Black Green Black Green Black Green Green Green Black Green Green Green Green Green Green Black Green Green Black\nBlack Green Green Black Green Green Black Black Green Black Green Green Black Black Green Green Green Black Green Green\nBlack Green Green Black Black Green Black Green Green Green Green Green Black Green Black Green Black Black Green Green\nGreen Green Green Green Green Green Black Green Green Green Green Green Black Green Green Green Black Green Green Green\nGreen Green Black Black Green Black Green Black Green Green Green Green Black Green Black Black Green Black Green Green\nBlack Black Green Green Black Green Black Green Green Green Black Green Green Black Black Green Green Green Green Green\nGreen Green Green Green Black Black Green Green Green Green Black Green Green Green Black Green Black Green Black Black\nBlack Green Green Green Black Green Green Black Green Green Black Green Green Black Green Green Green Green Green Green\nGreen Green Black Green Green Black Black Green Black Green Green Green Green Green Green Black Black Green Green Green\nGreen Black Green Green Green Green Black Green Green Green Green Green Green Green Green Green Green Black Green Green\nGreen Green Black Black Green Green Green Green Black Black Green Green Black Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green Black Green Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Black Black Black Green Green Green Green Green Green Black Green Green Green Black Green Green\nGreen Green Green Green Green Green Green Green Green Black Green Black Black Green Green Green Green Black Green Green\nBlack Green Black Black Black Green Black Green Green Black Green Green Black Green Green Black Black Black Green Green\nBlack Green Black Green Green Green Green Black Green Black Black Black Green Green Black Black Black Black Black Black\nBlack Green Green Black Black Green Green Green Green Black Black Black Green Green Green Black Black Black Green Green\nBlack Green Black Black Black Green Green Green Black Black Black Black Green Black Black Green Black Green Black Green\nGreen Black Green Green Green Black Green Black Green Black Black Green Green Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Black Black Black Black Green Green Green Green Black Black Green Green\nGreen Black Black Black Black Black Green Green Green Green Black Green Black Green Green Green Green Green Black Black\nBlack Black Black Black Green Black Green Black Green Green Green Green Black Black Green Green Green Green Black Green\nGreen Black Black Green Green Green Black Green Black Black Green Green Black Green Black Black Black Black Green Green\nGreen Green Black Green Green Green Black Green Green Green Green Black Green Green Green Black Green Green Green Green\nBlack Green Green Black Black Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green\nGreen Green Black Green Green Green Black Green Green Black Black Green Green Green Green Green Green Black Black Green\nGreen Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Green Green\nBlack Green Green Green Green Green Green Black Green Black Green Black Green Green Green Green Black Green Green Green\nBlack Green Black Green Green Black Green Black Green Green Green Green Black Green Black Black Green Green Black Green\nBlack Green Black Black Black Green Green Green Green Green Green Black Green Black Green Green Green Green Green Green\nBlack Black Black Green Green Black Green Green Green Black Green Black Green Black Green Green Green Green Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Black Green Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Black Black Black Green Green Green Green Green Green Black Green Green Green Black Green Green\nGreen Green Green Green Green Green Green Green Green Black Green Black Black Green Green Green Green Black Green Green\nBlack Green Black Black Black Green Black Green Green Black Green Green Black Green Green Green Green Green Green Green\nBlack Green Black Green Green Green Green Black Green Green Green Green Green Green Black Green Green Green Black Black\nBlack Green Green Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Green Black Black Black Green Green Green Black Green Green Green Green Black Black Green Black Green Black Green\nGreen Black Green Green Green Black Green Black Green Black Black Green Green Black Green Green Green Green Green Green\nBlack Green Green Green Black Black Green Green Black Black Black Black Green Green Green Green Black Black Green Green\nGreen Green Green Green Black Black Green Green Green Green Black Green Black Green Green Green Green Green Black Black\nBlack Green Green Green Green Black Green Black Green Green Green Green Black Black Green Green Green Green Black Green\nGreen Black Black Green Green Green Black Green Black Black Green Green Black Green Black Black Black Black Green Green\nGreen Green Black Green Green Green Black Green Green Green Green Black Green Green Green Black Green Green Green Green\nBlack Green Green Black Black Green Green Green Green Green Black Black Black Green Green Green Green Green Green Green\nGreen Green Black Green Green Green Black Green Green Black Black Green Green Green Green Green Green Black Black Green\nGreen Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Green Green\nBlack Green Green Green Green Green Green Black Green Black Green Black Green Green Green Green Black Green Green Green\nBlack Green Black Green Green Black Green Black Green Green Green Green Black Green Black Black Green Green Black Green\nBlack Green Black Black Black Green Green Green Green Green Green Black Green Black Green Green Green Green Green Green\nBlack Black Black Green Green Black Green Green Green Black Green Black Green Black Green Green Green Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray Black\nGray Gray Gray Gray Gray Black Gray Gray Black Gray Black Gray Gray Gray Gray Black Gray Black Black Gray\nBlack Black Gray Black Gray Gray Gray Gray Gray Gray Black Black Gray Black Black Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Black Black Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Black Gray Gray Black Gray Gray\nBlack Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black\nGray Black Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black Gray Black Black Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Black Gray Gray Gray Gray Gray Black Black Gray Gray Black Gray Gray Black Gray Gray Gray Gray\nBlack Gray Black Gray Black Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Black Gray Black Gray\nGray Gray Black Gray Black Gray Black Black Black Black Black Black Black Black Gray Gray Black Gray Gray Gray\nGray Black Gray Black Black Black Gray Gray Black Gray Black Gray Gray Gray Gray Gray Black Black Gray Black\nBlack Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray Black\nGray Gray Black Black Black Black Gray Black Black Black Gray Black Gray Black Black Gray Black Black Black Gray\nBlack Black Black Black Black Gray Black Black Black Black Gray Black Gray Gray Gray Black Black Gray Gray Gray\nGray Gray Black Black Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Black Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray Black\nGray Gray Gray Gray Gray Black Gray Gray Black Gray Black Gray Gray Gray Gray Black Gray Black Black Gray\nBlack Black Gray Black Gray Gray Gray Gray Gray Gray Black Black Gray Black Black Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Black Black Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Black Gray Gray Black Gray Gray\nBlack Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black\nGray Black Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black Gray Black Black Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Black Gray Gray Gray Gray Gray Black Black Gray Gray Black Gray Gray Black Gray Gray Gray Gray\nBlack Gray Black Gray Black Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Black Gray Black Gray\nGray Gray Black Gray Black Gray Black Black Black Black Black Black Black Black Gray Gray Black Gray Gray Gray\nGray Black Gray Black Black Black Gray Gray Black Gray Black Gray Gray Gray Gray Gray Black Black Gray Black\nBlack Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black\nGray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Black Black Gray Black Black Black Gray\nBlack Black Gray Gray Gray Gray Black Gray Gray Gray Gray Black Gray Gray Gray Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Black Gray Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Brown Brown\nBlack 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 Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black 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 Green Green Black Black Black Black Black Black Black Black\nBlack Black 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 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\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 Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green 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 Green Green Black Black Black Black Black Black Black Black\nBlack Black 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 Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack 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 Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray 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\nBlack Black Gray Gray Gray Gray 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\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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 Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack 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\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 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue 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 Blue 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 Blue 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 Blue 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 Blue 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 Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue 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 Blue Blue 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Blue Purple Black Black Black 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 Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray\n\nOutput:\nPurple Purple Black\nBlack Purple Purple\nBlack Black Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Red Black Black\nPurple Purple Purple Black Red Red Red Black Black\nPurple Black Black Green Red Black Black Black Black\nPurple Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Blue Blue Blue\nBlack Black Brown Brown Brown Black Black Black Blue\nBlack Black Brown Black Brown Black Blue Blue Blue\n\nOutput:\nRed Red Red\nBlack Black Red\nRed Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Black Black Orange Black Black Black Pink Pink Pink\nBlack Orange Orange Orange Black Black Black Black Pink Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Brown Pink 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 Gray Gray Gray Black Black Brown Brown\nBlack Black Black Black Gray Gray Black Brown Brown Brown\nBlack Black Black Gray Gray Gray Black Black Black Black\n\nOutput:\nPink Pink Pink\nBlack Pink Pink\nPink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Yellow Black Yellow\nBrown Brown Black Black Black Black Yellow Black Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Red Red Orange Yellow Black Black Black Black\nBlack Red Red Red Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Blue 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```\nYellow Yellow Yellow\nYellow Black Black\nYellow 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black 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 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 Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Red Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\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\nRed Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\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\nRed Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\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 Green Green Green Black Black\nBlack Black Black Red Blue Black Black Black\nBlack Black Black Red Black 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\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 Red Black Red Black Red Black\nBlack Black Black Green Green Green Black Black\nBlack Black Green Red Blue Black Black Black\nBlack Black Black Red Black Red Black Black\nBlack Black Green Black Black Black Green Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Red Green Green Black Black Black Black\nBlack Black Blue Green Black Black Black Black\nBlack Red Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Red Black Red Black Black Black\nBlack Red Green Green Black Black Black Black\nBlack Black Blue Green Red Black Black Black\nBlack Red Green Black Black Black Black Black\nGreen Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack 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 Green Red Black Black Black Black Black\nBlack Black Red Blue Green Black Black Black Black Black\nBlack Black Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Green Black Black Black Black\nBlack Black Black Green Red Black Black Black Black Black\nBlack Green Red Blue Green Red Black Black Black Black\nBlack Black Red Black Red Black Black Black Black Black\nBlack Green Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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\nYellow Black Purple Purple Black Black Yellow\nYellow Black Purple Purple Purple Purple Yellow\nYellow Purple Purple Purple Purple Purple Yellow\nYellow Purple Purple Purple Purple Black Yellow\nYellow Black Black Purple Purple Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlack Yellow Black Yellow Yellow Black Black\nBlack Yellow Black Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Black Black Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green\nGreen Pink Pink Pink Pink Pink Green\nGreen Pink Pink Pink Pink Pink Green\nGreen Pink Pink Pink Pink Pink Green\nGreen Pink Pink Pink Pink Pink Green\nGreen Black Pink Pink Pink Black Green\nGreen Green Green Green Green Green Green\n\nOutput:\nBlack Green Green Green Green Green Green\nBlack Green Green Green Green Green Green\nBlack Green Green Green Green Green Green\nBlack Green Green Green Green Green Green\nBlack Green Black Green Green Green Black\nBlack Green Green Green Green Green Green\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green\nGreen Orange Orange Orange Black Black Green\nGreen Orange Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Orange Green\nGreen Orange Orange Orange Black Orange Green\nGreen Black Orange Black Black Black Green\nGreen Green Green Green Green Green Green\n\nOutput:\nBlack Green Green Green Green Black Black\nBlack Green Green Green Green Green Green\nBlack Green Green Green Green Green Green\nBlack Green Green Green Green Black Green\nBlack Green Black Green Black Black Black\nBlack Green Green Green Green Green Green\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Black Gray Gray\nBlack Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Gray Black Black Yellow Black Black\nRed Black Black Black Purple Orange Black Orange\nPink Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Orange Yellow Black Orange Black Pink\nBlack Black Orange Black Black Purple Black Black\nOrange Black Black Orange Blue Black Yellow Black\nPink Black Purple Black Orange Green Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black\nYellow Yellow Yellow Orange Orange Orange Orange Orange Black\nYellow Yellow Yellow Orange Orange Orange Orange Orange Black\nGray Yellow Yellow Orange Orange Orange Orange Orange Black\n\n\nExample 2\nInput:\nBlack Purple Yellow Black Black Black Red\nYellow Black Black Black Black Brown Black\nPurple Black Gray Pink Black Black Black\nBlack Black Purple Black Black Black Blue\nBlack Pink Black Yellow Black Black Black\nBlue Black Brown Brown Black Purple Black\nBlack Black Black Gray Black Black Black\n\nOutput:\nBlack Black Black Black Black\nPurple Purple Purple Purple Black\nYellow Yellow Yellow Purple Black\nYellow Yellow Yellow Purple Black\nRed Yellow Yellow Purple Black\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Black Black Green\nBlack Black Black Purple Black Black Gray Black Black\nOrange Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Brown\nBlack Yellow Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Pink Gray Black\n\nOutput:\nBlack Black Black Black\nGray Gray Gray Black\nOrange Orange Gray Black\nGreen Orange Gray 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\nGray Gray Gray Gray Gray Black\nBlue Blue Blue Blue Gray Black\nBlue Blue Blue Blue Gray Black\nPink Pink Blue Blue Gray Black\nPink Pink Blue Blue Gray Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Purple Purple Purple 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 Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Yellow Yellow\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Brown\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBrown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Orange\nGreen Green Green Black Black Black Black Black Black Black Black Orange\n\n\nExample 3\nInput:\nBlack Pink Pink Pink Pink Gray Gray Gray Black Black Black Black\nBlack Pink Pink Pink Pink Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Red Red Red\nBlack Black Black Gray Gray Gray Gray Gray Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Red\nGray Gray Black Black Black Black Black Black Black Black Black Red\nGray Gray Black Black Black Black Black Black Black Black Black Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Red Red Black Black Black Black Black Black Black Black Black Black Red\nRed Red Red Black Black Black Black Black Black Black Black Black Black Red\nRed Red Red Black Black Black Black Black Black Black Black Black Black Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Purple Purple Red Red Red Brown Brown Brown Red Red Red Brown Brown Brown Red Red Red Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Red Red Red Brown Brown Brown Red Red Red Brown Brown Brown Red Red Red Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Red Red Red Brown Brown Brown Red Red Red Brown Brown Brown Red Red Red Orange Orange Orange\nPink Pink Pink Gray Gray Gray Red Red Red Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Brown Brown Brown Purple Purple Purple\nPink Pink Pink Gray Gray Gray Red Red Red Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Brown Brown Brown Purple Purple Purple\nPink Pink Pink Gray Gray Gray Red Red Red Yellow Yellow Yellow Blue Blue Blue Purple Purple Purple Brown Brown Brown Purple Purple Purple\nGreen Green Green Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple\nGreen Green Green Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple\nGreen Green Green Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Brown Brown Brown Gray Gray Gray Purple Purple Purple Pink Pink Pink Pink Pink Pink Gray Gray Gray\nPurple Purple Purple Blue Blue Blue Brown Brown Brown Gray Gray Gray Purple Purple Purple Pink Pink Pink Pink Pink Pink Gray Gray Gray\nPurple Purple Purple Blue Blue Blue Brown Brown Brown Gray Gray Gray Purple Purple Purple Pink Pink Pink Pink Pink Pink Gray Gray Gray\nPurple Purple Purple Orange Orange Orange Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Orange Orange Orange Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Orange Orange Orange Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nBrown Brown Brown Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nBrown Brown Brown Gray Gray Gray Yellow Yellow Yellow Purple Purple Purple Green Green Green Green Green Green Green Green Green Purple Purple Purple\nBlue Blue Blue Orange Orange Orange Green Green Green Orange Orange Orange Orange Orange Orange Red Red Red Purple Purple Purple Yellow Yellow Yellow\nBlue Blue Blue Orange Orange Orange Green Green Green Orange Orange Orange Orange Orange Orange Red Red Red Purple Purple Purple Yellow Yellow Yellow\nBlue Blue Blue Orange Orange Orange Green Green Green Orange Orange Orange Orange Orange Orange Red Red Red Purple Purple Purple Yellow Yellow Yellow\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Blue Blue Blue Orange Orange Orange Gray Gray Gray Orange Orange Orange\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Blue Blue Blue Orange Orange Orange Gray Gray Gray Orange Orange Orange\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Blue Blue Blue Orange Orange Orange Gray Gray Gray Orange Orange Orange\nBrown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Brown Brown Brown Orange Orange Orange Pink Pink Pink\nBrown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Brown Brown Brown Orange Orange Orange Pink Pink Pink\nBrown Brown Brown Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Brown Brown Brown Orange Orange Orange Pink Pink Pink\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\nGray Gray Gray Purple Purple Purple Brown Brown Brown Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink Orange Orange Orange Purple Purple Purple\n\nOutput:\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Blue Blue Blue Purple Purple Purple\nGray Gray Gray Orange Orange Orange Blue Blue Blue Red Red Red Green Green Green Brown Brown Brown Pink Pink Pink Brown Brown Brown\nGray Gray Gray Orange Orange Orange Blue Blue Blue Red Red Red Green Green Green Brown Brown Brown Pink Pink Pink Brown Brown Brown\nGray Gray Gray Orange Orange Orange Blue Blue Blue Red Red Red Green Green Green Brown Brown Brown Pink Pink Pink Brown Brown Brown\nYellow Yellow Yellow Green Green Green Gray Gray Gray Red Red Red Orange Orange Orange Red Red Red Red Red Red Brown Brown Brown\nYellow Yellow Yellow Green Green Green Gray Gray Gray Red Red Red Orange Orange Orange Red Red Red Red Red Red Brown Brown Brown\nYellow Yellow Yellow Green Green Green Gray Gray Gray Red Red Red Orange Orange Orange Red Red Red Red Red Red Brown Brown Brown\nBrown Brown Brown Green Green Green Pink Pink Pink Orange Orange Orange Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange\nBrown Brown Brown Green Green Green Pink Pink Pink Orange Orange Orange Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange\nBrown Brown Brown Green Green Green Pink Pink Pink Orange Orange Orange Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange\nBrown Brown Brown Purple Purple Purple Yellow Yellow Yellow Red Red Red Red Red Red Purple Purple Purple Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Yellow Yellow Yellow Red Red Red Red Red Red Purple Purple Purple Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Yellow Yellow Yellow Red Red Red Red Red Red Purple Purple Purple Pink Pink Pink Brown Brown Brown\nPink Pink Pink Orange Orange Orange Red Red Red Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nPink Pink Pink Orange Orange Orange Red Red Red Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nPink Pink Pink Orange Orange Orange Red Red Red Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nGreen Green Green Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Blue Blue Blue Brown Brown Brown Red Red Red\nGreen Green Green Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Blue Blue Blue Brown Brown Brown Red Red Red\nGreen Green Green Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Blue Blue Blue Brown Brown Brown Red Red Red\nPurple Purple Purple Brown Brown Brown Orange Orange Orange Gray Gray Gray Green Green Green Purple Purple Purple Orange Orange Orange Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Orange Orange Orange Gray Gray Gray Green Green Green Purple Purple Purple Orange Orange Orange Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Orange Orange Orange Gray Gray Gray Green Green Green Purple Purple Purple Orange Orange Orange Purple Purple Purple\nPink Pink Pink Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Gray Gray Gray\nPink Pink Pink Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Gray Gray Gray\nPink Pink Pink Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Purple Purple Purple Gray Gray Gray\nOrange Orange Orange Brown Brown Brown Pink Pink Pink Gray Gray Gray Red Red Red Gray Gray Gray Purple Purple Purple Brown Brown Brown\nOrange Orange Orange Brown Brown Brown Pink Pink Pink Gray Gray Gray Red Red Red Gray Gray Gray Purple Purple Purple Brown Brown Brown\nOrange Orange Orange Brown Brown Brown Pink Pink Pink Gray Gray Gray Red Red Red Gray Gray Gray Purple Purple Purple Brown Brown Brown\n\n\nExample 2\nInput:\nYellow Yellow Yellow Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Pink Pink Pink\nYellow Yellow Yellow Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Pink Pink Pink\nYellow Yellow Yellow Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink Red Red Red Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink Red Red Red Orange Orange Orange Pink Pink Pink\nOrange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Pink Pink Pink Red Red Red Orange Orange Orange Pink Pink Pink\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Gray Gray Gray Purple Purple Purple Red Red Red Purple Purple Purple Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Gray Gray Gray Purple Purple Purple Red Red Red Purple Purple Purple Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Gray Gray Gray Purple Purple Purple Red Red Red Purple Purple Purple Blue Blue Blue Pink Pink Pink\nRed Red Red Green Green Green Blue Blue Blue Orange Orange Orange Pink Pink Pink Purple Purple Purple Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nRed Red Red Green Green Green Blue Blue Blue Orange Orange Orange Pink Pink Pink Purple Purple Purple Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nRed Red Red Green Green Green Blue Blue Blue Orange Orange Orange Pink Pink Pink Purple Purple Purple Purple Purple Purple Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Pink Pink Pink Brown Brown Brown Orange Orange Orange Blue Blue Blue Orange Orange Orange Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Pink Pink Pink Brown Brown Brown Orange Orange Orange Blue Blue Blue Orange Orange Orange Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Pink Pink Pink Brown Brown Brown Orange Orange Orange Blue Blue Blue Orange Orange Orange Pink Pink Pink\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Purple Purple Purple Blue Blue Blue Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Purple Purple Purple Blue Blue Blue Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Gray Gray Gray Brown Brown Brown Purple Purple Purple Blue Blue Blue Brown Brown Brown\nOrange Orange Orange Red Red Red Gray Gray Gray Blue Blue Blue Pink Pink Pink Green Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Red Red Red Gray Gray Gray Blue Blue Blue Pink Pink Pink Green Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\nOrange Orange Orange Red Red Red Gray Gray Gray Blue Blue Blue Pink Pink Pink Green Green Green Red Red Red Blue Blue Blue Yellow Yellow Yellow Orange Orange Orange\n\nOutput:\nRed Red Red Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Gray Gray Gray\nRed Red Red Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Gray Gray Gray\nRed Red Red Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Gray Gray Gray\nPurple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Red Red Red Purple Purple Purple Gray Gray Gray Blue Blue Blue Purple Purple Purple Gray Gray Gray\nPurple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Red Red Red Purple Purple Purple Gray Gray Gray Blue Blue Blue Purple Purple Purple Gray Gray Gray\nPurple Purple Purple Orange Orange Orange Orange Orange Orange Pink Pink Pink Red Red Red Purple Purple Purple Gray Gray Gray Blue Blue Blue Purple Purple Purple Gray Gray Gray\nBrown Brown Brown Red Red Red Orange Orange Orange Gray Gray Gray Orange Orange Orange Brown Brown Brown Blue Blue Blue Brown Brown Brown Green Green Green Gray Gray Gray\nBrown Brown Brown Red Red Red Orange Orange Orange Gray Gray Gray Orange Orange Orange Brown Brown Brown Blue Blue Blue Brown Brown Brown Green Green Green Gray Gray Gray\nBrown Brown Brown Red Red Red Orange Orange Orange Gray Gray Gray Orange Orange Orange Brown Brown Brown Blue Blue Blue Brown Brown Brown Green Green Green Gray Gray Gray\nBlue Blue Blue Yellow Yellow Yellow Green Green Green Purple Purple Purple Gray Gray Gray Brown Brown Brown Brown Brown Brown Green Green Green Red Red Red Purple Purple Purple\nBlue Blue Blue Yellow Yellow Yellow Green Green Green Purple Purple Purple Gray Gray Gray Brown Brown Brown Brown Brown Brown Green Green Green Red Red Red Purple Purple Purple\nBlue Blue Blue Yellow Yellow Yellow Green Green Green Purple Purple Purple Gray Gray Gray Brown Brown Brown Brown Brown Brown Green Green Green Red Red Red Purple Purple Purple\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Purple Purple Purple Green Green Green Purple Purple Purple Gray Gray Gray\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Purple Purple Purple Green Green Green Purple Purple Purple Gray Gray Gray\nRed Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink Purple Purple Purple Green Green Green Purple Purple Purple Gray Gray Gray\nPink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink Brown Brown Brown Green Green Green Pink Pink Pink\nPink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink Brown Brown Brown Green Green Green Pink Pink Pink\nPink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange Pink Pink Pink Brown Brown Brown Green Green Green Pink Pink Pink\nPurple Purple Purple Blue Blue Blue Orange Orange Orange Green Green Green Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Orange Orange Orange Green Green Green Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Orange Orange Orange Green Green Green Gray Gray Gray Yellow Yellow Yellow Blue Blue Blue Green Green Green Red Red Red Purple Purple Purple\n\n\nExample 3\nInput:\nBlue Blue Blue Purple Purple Purple Pink Pink Pink Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Purple Purple Purple Pink Pink Pink Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Purple Purple Purple Pink Pink Pink Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Blue Blue Blue Green Green Green Brown Brown Brown Red Red Red\nYellow Yellow Yellow Blue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Blue Blue Blue Green Green Green Brown Brown Brown Red Red Red\nYellow Yellow Yellow Blue Blue Blue Green Green Green Yellow Yellow Yellow Green Green Green Blue Blue Blue Green Green Green Brown Brown Brown Red Red Red\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Green Green Green Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Green Green Green Gray Gray Gray Blue Blue Blue\nPurple Purple Purple Orange Orange Orange Purple Purple Purple Blue Blue Blue Blue Blue Blue Gray Gray Gray Green Green Green Gray Gray Gray Blue Blue Blue\nPink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Pink Pink Pink Gray Gray Gray Orange Orange Orange Purple Purple Purple\nPink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Pink Pink Pink Gray Gray Gray Orange Orange Orange Purple Purple Purple\nPink Pink Pink Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Pink Pink Pink Gray Gray Gray Orange Orange Orange Purple Purple Purple\nPink Pink Pink Yellow Yellow Yellow Red Red Red Gray Gray Gray Orange Orange Orange Green Green Green Brown Brown Brown Blue Blue Blue Blue Blue Blue\nPink Pink Pink Yellow Yellow Yellow Red Red Red Gray Gray Gray Orange Orange Orange Green Green Green Brown Brown Brown Blue Blue Blue Blue Blue Blue\nPink Pink Pink Yellow Yellow Yellow Red Red Red Gray Gray Gray Orange Orange Orange Green Green Green Brown Brown Brown Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Green Green Green Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Blue Blue Blue Pink Pink Pink Gray Gray Gray Orange Orange Orange\nPurple Purple Purple Green Green Green Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Blue Blue Blue Pink Pink Pink Gray Gray Gray Orange Orange Orange\nPurple Purple Purple Green Green Green Orange Orange Orange Yellow Yellow Yellow Purple Purple Purple Blue Blue Blue Pink Pink Pink Gray Gray Gray Orange Orange Orange\nPink Pink Pink Purple Purple Purple Orange Orange Orange Blue Blue Blue Green Green Green Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nPink Pink Pink Purple Purple Purple Orange Orange Orange Blue Blue Blue Green Green Green Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nPink Pink Pink Purple Purple Purple Orange Orange Orange Blue Blue Blue Green Green Green Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\n\nOutput:\nGreen Green Green Brown Brown Brown Gray Gray Gray Pink Pink Pink Pink Pink Pink Red Red Red Purple Purple Purple Green Green Green Red Red Red\nGreen Green Green Brown Brown Brown Gray Gray Gray Pink Pink Pink Pink Pink Pink Red Red Red Purple Purple Purple Green Green Green Red Red Red\nGreen Green Green Brown Brown Brown Gray Gray Gray Pink Pink Pink Pink Pink Pink Red Red Red Purple Purple Purple Green Green Green Red Red Red\nRed Red Red Green Green Green Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue\nRed Red Red Green Green Green Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue\nRed Red Red Green Green Green Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Green Green Green Green Green Green Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange Green Green Green\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Green Green Green Green Green Green Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange Green Green Green\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Green Green Green Green Green Green Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange Green Green Green\nGray Gray Gray Pink Pink Pink Red Red Red Pink Pink Pink Brown Brown Brown Gray Gray Gray Orange Orange Orange Purple Purple Purple Brown Brown Brown\nGray Gray Gray Pink Pink Pink Red Red Red Pink Pink Pink Brown Brown Brown Gray Gray Gray Orange Orange Orange Purple Purple Purple Brown Brown Brown\nGray Gray Gray Pink Pink Pink Red Red Red Pink Pink Pink Brown Brown Brown Gray Gray Gray Orange Orange Orange Purple Purple Purple Brown Brown Brown\nGray Gray Gray Red Red Red Blue Blue Blue Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green\nGray Gray Gray Red Red Red Blue Blue Blue Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green\nGray Gray Gray Red Red Red Blue Blue Blue Orange Orange Orange Purple Purple Purple Yellow Yellow Yellow Pink Pink Pink Green Green Green Green Green Green\nBrown Brown Brown Yellow Yellow Yellow Purple Purple Purple Red Red Red Brown Brown Brown Green Green Green Gray Gray Gray Orange Orange Orange Purple Purple Purple\nBrown Brown Brown Yellow Yellow Yellow Purple Purple Purple Red Red Red Brown Brown Brown Green Green Green Gray Gray Gray Orange Orange Orange Purple Purple Purple\nBrown Brown Brown Yellow Yellow Yellow Purple Purple Purple Red Red Red Brown Brown Brown Green Green Green Gray Gray Gray Orange Orange Orange Purple Purple Purple\nGray Gray Gray Brown Brown Brown Purple Purple Purple Green Green Green Yellow Yellow Yellow Blue Blue Blue Red Red Red Red Red Red Pink Pink Pink\nGray Gray Gray Brown Brown Brown Purple Purple Purple Green Green Green Yellow Yellow Yellow Blue Blue Blue Red Red Red Red Red Red Pink Pink Pink\nGray Gray Gray Brown Brown Brown Purple Purple Purple Green Green Green Yellow Yellow Yellow Blue Blue Blue Red Red Red Red Red Red Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Red Red Red Pink Pink Pink Green Green Green Purple Purple Purple Green Green Green Orange Orange Orange Purple Purple Purple Gray Gray Gray\nYellow Yellow Yellow Red Red Red Pink Pink Pink Green Green Green Purple Purple Purple Green Green Green Orange Orange Orange Purple Purple Purple Gray Gray Gray\nYellow Yellow Yellow Red Red Red Pink Pink Pink Green Green Green Purple Purple Purple Green Green Green Orange Orange Orange Purple Purple Purple Gray Gray Gray\nBlue Blue Blue Orange Orange Orange Yellow Yellow Yellow Red Red Red Blue Blue Blue Purple Purple Purple Red Red Red Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Orange Orange Orange Yellow Yellow Yellow Red Red Red Blue Blue Blue Purple Purple Purple Red Red Red Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Orange Orange Orange Yellow Yellow Yellow Red Red Red Blue Blue Blue Purple Purple Purple Red Red Red Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Brown Brown Brown Purple Purple Purple\nYellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Brown Brown Brown Purple Purple Purple\nYellow Yellow Yellow Blue Blue Blue Pink Pink Pink Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Red Red Red Green Green Green Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Brown Brown Brown\nPurple Purple Purple Red Red Red Green Green Green Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Brown Brown Brown\nPurple Purple Purple Red Red Red Green Green Green Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Orange Orange Orange Brown Brown Brown\nGreen Green Green Green Green Green Pink Pink Pink Red Red Red Orange Orange Orange Gray Gray Gray Green Green Green Purple Purple Purple Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Red Red Red Orange Orange Orange Gray Gray Gray Green Green Green Purple Purple Purple Yellow Yellow Yellow\nGreen Green Green Green Green Green Pink Pink Pink Red Red Red Orange Orange Orange Gray Gray Gray Green Green Green Purple Purple Purple Yellow Yellow Yellow\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Purple Purple Purple Red Red Red Brown Brown Brown Pink Pink Pink Red Red Red Blue Blue Blue\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Purple Purple Purple Red Red Red Brown Brown Brown Pink Pink Pink Red Red Red Blue Blue Blue\nOrange Orange Orange Blue Blue Blue Orange Orange Orange Purple Purple Purple Red Red Red Brown Brown Brown Pink Pink Pink Red Red Red Blue Blue Blue\nGray Gray Gray Pink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Pink Pink Pink\nGray Gray Gray Pink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Pink Pink Pink\nGray Gray Gray Pink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple Pink Pink Pink\nPink Pink Pink Pink Pink Pink Orange Orange Orange Brown Brown Brown Brown Brown Brown Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nPink Pink Pink Pink Pink Pink Orange Orange Orange Brown Brown Brown Brown Brown Brown Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nPink Pink Pink Pink Pink Pink Orange Orange Orange Brown Brown Brown Brown Brown Brown Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nPink Pink Pink Blue Blue Blue Brown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nPink Pink Pink Blue Blue Blue Brown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\nPink Pink Pink Blue Blue Blue Brown Brown Brown Gray Gray Gray Brown Brown Brown Pink Pink Pink Green Green Green Gray Gray Gray Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown Orange Orange Orange\nRed Red Red Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown Orange Orange Orange\nRed Red Red Blue Blue Blue Gray Gray Gray Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown Orange Orange Orange\nGreen Green Green Purple Purple Purple Red Red Red Blue Blue Blue Green Green Green Brown Brown Brown Blue Blue Blue Orange Orange Orange Orange Orange Orange\nGreen Green Green Purple Purple Purple Red Red Red Blue Blue Blue Green Green Green Brown Brown Brown Blue Blue Blue Orange Orange Orange Orange Orange Orange\nGreen Green Green Purple Purple Purple Red Red Red Blue Blue Blue Green Green Green Brown Brown Brown Blue Blue Blue Orange Orange Orange Orange Orange Orange\nRed Red Red Green Green Green Gray Gray Gray Green Green Green Red Red Red Pink Pink Pink Purple Purple Purple Pink Pink Pink Brown Brown Brown\nRed Red Red Green Green Green Gray Gray Gray Green Green Green Red Red Red Pink Pink Pink Purple Purple Purple Pink Pink Pink Brown Brown Brown\nRed Red Red Green Green Green Gray Gray Gray Green Green Green Red Red Red Pink Pink Pink Purple Purple Purple Pink Pink Pink Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Brown Brown Brown Brown Brown Brown Purple Purple Purple Pink Pink Pink\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Brown Brown Brown Brown Brown Brown Purple Purple Purple Pink Pink Pink\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Green Green Green Red Red Red Brown Brown Brown Brown Brown Brown Purple Purple Purple Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Red Red Red\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Purple Purple Purple Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Red Red Red\nPurple Purple Purple Green Green Green Purple Purple Purple Brown Brown Brown Blue Blue Blue Pink Pink Pink Gray Gray Gray Blue Blue Blue Green Green Green\nPurple Purple Purple Green Green Green Purple Purple Purple Brown Brown Brown Blue Blue Blue Pink Pink Pink Gray Gray Gray Blue Blue Blue Green Green Green\nPurple Purple Purple Green Green Green Purple Purple Purple Brown Brown Brown Blue Blue Blue Pink Pink Pink Gray Gray Gray Blue Blue Blue Green Green Green\nOrange Orange Orange Gray Gray Gray Purple Purple Purple Purple Purple Purple Green Green Green Red Red Red Pink Pink Pink Brown Brown Brown Gray Gray Gray\nOrange Orange Orange Gray Gray Gray Purple Purple Purple Purple Purple Purple Green Green Green Red Red Red Pink Pink Pink Brown Brown Brown Gray Gray Gray\nOrange Orange Orange Gray Gray Gray Purple Purple Purple Purple Purple Purple Green Green Green Red Red Red Pink Pink Pink Brown Brown Brown Gray Gray Gray\nGray Gray Gray Gray Gray Gray Purple Purple Purple Pink Pink Pink Pink Pink Pink Gray Gray Gray Orange Orange Orange Gray Gray Gray Orange Orange Orange\nGray Gray Gray Gray Gray Gray Purple Purple Purple Pink Pink Pink Pink Pink Pink Gray Gray Gray Orange Orange Orange Gray Gray Gray Orange Orange Orange\nGray Gray Gray Gray Gray Gray Purple Purple Purple Pink Pink Pink Pink Pink Pink Gray Gray Gray Orange Orange Orange Gray Gray Gray Orange Orange Orange\nGray Gray Gray Green Green Green Pink Pink Pink Orange Orange Orange Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nGray Gray Gray Green Green Green Pink Pink Pink Orange Orange Orange Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange Gray Gray Gray\nGray Gray Gray Green Green Green Pink Pink Pink Orange Orange Orange Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow Orange Orange Orange 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\nGreen Brown Orange Pink Gray Purple Brown Pink\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\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\nGreen Brown Orange Pink Gray Purple Brown Pink\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPurple Orange Blue Green Red Yellow Yellow\n\nOutput:\nPurple Orange Blue Green Red Yellow Yellow\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGray Pink Blue Brown Gray Brown Pink Green Gray\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\nGray Pink Blue Brown Gray Brown Pink Green Gray\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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Red Purple Purple Green Blue Purple Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Red Purple Purple Green Blue Purple Gray\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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with 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 Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Black Blue Black Blue Blue Black Black\nBlue Black Black Black Black Blue Black Blue Blue Blue Blue Black Black\nBlue Black Black Black Black Blue Black Blue Blue Blue Blue Black Black\nBlue Black Black Black Black Blue Black Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Black Blue Black Blue Blue Blue Black\nBlue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black\nRed Red Red Red Red Red Black Red Black Red Red Black Black\nRed Black Black Black Black Red Black Red Red Red Red Black Black\nRed Black Black Black Black Red Black Red Red Red Red Black Black\nRed Black Black Black Black Red Black Red Red Red Red Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Black\nRed Red Red Red Red Red Black Red Black Red Red Red Black\nRed Red Black Red Red Red Black Red Red Red Red Red Black\nRed Red Red Red Red Red 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\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black\nBlue Blue Blue Black Blue Black Blue Black Black Blue Black Black\nBlue Blue Blue Blue Blue Black Blue Black Black Blue Black Black\nBlue Blue Blue Blue Blue Black Blue Black Black Blue Black Black\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nRed Red Red Red Red Black Red Red Red Red Black Black\nRed Red Red Black Red Black Red Black Black Red Black Black\nRed Red Red Red Red Black Red Black Black Red Black Black\nRed Red Red Red Red Black Red Black Black Red Black Black\nRed Red Red Red Red Black Red Red Red Red 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 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 Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Blue Black Black Black\nBlue Blue Blue Black Blue Blue Blue Blue Blue Black Black Black\nBlue Black Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Blue Blue Blue Blue Black\nBlue Blue Blue Black Black Black Black Blue Black Black Blue Black\nBlue Blue Blue Black Black Black Black Blue Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue 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 Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Black Black Black Red Black Black Black\nRed Red Red Black Red Red Red Red Red Black Black Black\nRed Black Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Red Red Red Red Black\nRed Red Red Black Black Black Black Red Black Black Red Black\nRed Red Red Black Black Black Black Red Black Black Red Black\nBlack Black Black Black Black Black Black Red Red Red Red 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Blue Black Blue Black Black\nBlack Black Blue Blue Blue Blue Black Blue Black Blue Black Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Blue\nBlue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Black Black Blue Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Blue Black Black Black Black Blue Blue Blue Blue Black Black\nBlue Black Black Blue Black Black Black Black Blue Black Blue Blue Black Black\nBlue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Red Black Red Black Black\nBlack Black Red Red Red Red Black Red Black Red Black Red Black Black\nBlack Black Red Red Red Red Red Red Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Red\nRed Red Red Red Black Black Black Black Red Red Red Red Red Red\nRed Black Black Red Black Black Black Black Red Red Red Red Red Red\nRed Black Black Red Black Black Black Black Black Black Black Black Black Black\nRed Black Black Red Black Black Black Black Red Red Red Red Black Black\nRed Black Black Red Black Black Black Black Red Black Red Red Black Black\nRed Red Red Red Black Black Black Black Red Red Red Red Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Orange Black Black\nBlack Black Black Black Black Black Black Pink Black Black Orange Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Pink Black Green Black Black Black Black\nPurple Black Black Black Black Black Gray Black Black Black Black Black Green\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Yellow Black Brown Black Black Black Black Gray Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Orange\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 Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Pink Black Black Yellow Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Pink Black Pink Black Black Black Black\nRed Black Black Black Black Black Orange Black Black Black Black Black Pink\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Red Black Orange Black Black Black Black Orange Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Brown Black Black Gray Black Black Red Blue Black\nYellow Black Black Pink Black Purple Black Black Black Black\nPurple Brown Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Blue Black Black Pink 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 Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Yellow Black Black Red Black Black Pink Pink Black\nRed Black Black Pink Black Orange Black Black Black Black\nOrange Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Pink Black Black Pink Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Blue Black Black Black\nBlack Black Black Pink Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Purple Black Orange\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Pink Black Purple Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Orange Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Pink Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Orange Black Orange\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nRed Black Black Black Pink Black Orange Orange Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Pink Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Blue Black Green Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Pink Black Black\nBlue Black Brown Black Yellow Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Pink Black Black Pink Black\nBlack Orange Black Gray Black Black Black Gray Black Orange Black Black\nBlack Black Gray Black Black Black Pink Pink Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Gray Black Brown\nBlack Blue Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black 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 Yellow Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Orange Black Red Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Yellow Black Black\nOrange Black Yellow Black Red Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Black Yellow Black\nBlack Orange Black Yellow Black Black Black Yellow Black Orange Black Black\nBlack Black Yellow Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Yellow Black Yellow\nBlack Orange Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nPink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Pink Pink Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nBrown Purple Green Green Blue Red Brown Blue Brown Blue Orange Green Pink Purple Pink Red Green Red\nPurple Purple Purple Brown Purple Blue Red Orange Purple Pink Green Purple Blue Green Pink Brown Red Blue\nOrange Green Orange Gray Pink Orange Red Brown Brown Orange Pink Brown Red Brown Gray Blue Pink Green\nGray Blue Green Purple Orange Pink Purple Green Gray Gray Gray Green Brown Gray Brown Brown Orange Green\nRed Orange Purple Pink Orange Brown Purple Green Pink Brown Gray Pink Blue Gray Orange Blue Purple Red\nGreen Red Blue Brown Red Purple Purple Green Blue Purple Pink Orange Orange Gray Blue Gray Purple Blue\nPurple Brown Green Orange Purple Gray Green Purple Pink Pink Red Orange Brown Red Purple Brown Brown Orange\nOrange Pink Pink Purple Orange Pink Purple Green Brown Green Green Brown Purple Purple Green Red Purple Red\n\nOutput:\nBrown Green Purple Purple Yellow Orange Brown Yellow Brown Yellow Red Purple Gray Green Gray Orange Purple Orange\nGreen Green Green Brown Green Yellow Orange Red Green Gray Purple Green Yellow Purple Gray Brown Orange Yellow\nRed Purple Red Pink Gray Red Orange Brown Brown Red Gray Brown Orange Brown Pink Yellow Gray Purple\nPink Yellow Purple Green Red Gray Green Purple Pink Pink Pink Purple Brown Pink Brown Brown Red Purple\nOrange Red Green Gray Red Brown Green Purple Gray Brown Pink Gray Yellow Pink Red Yellow Green Orange\nPurple Orange Yellow Brown Orange Green Green Purple Yellow Green Gray Red Red Pink Yellow Pink Green Yellow\nGreen Brown Purple Red Green Pink Purple Green Gray Gray Orange Red Brown Orange Green Brown Brown Red\nRed Gray Gray Green Red Gray Green Purple Brown Purple Purple Brown Green Green Purple Orange Green Orange\n\n\nExample 2\nInput:\nPurple Pink Brown Brown Orange Purple Purple\nGreen Red Pink Gray Green Orange Gray\nGray Pink Blue Brown Green Gray Blue\nBlue Purple Pink Brown Green Pink Green\nGray Red Blue Blue Red Gray Red\nGreen Blue Green Orange Gray Blue Orange\nRed Orange Purple Purple Purple Purple Gray\nGreen Red Pink Blue Green Brown Blue\nOrange Brown Blue Purple Green Brown Brown\nBlue Blue Gray Blue Gray Orange Red\n\nOutput:\nGreen Gray Brown Brown Red Green Green\nPurple Orange Gray Pink Purple Red Pink\nPink Gray Yellow Brown Purple Pink Yellow\nYellow Green Gray Brown Purple Gray Purple\nPink Orange Yellow Yellow Orange Pink Orange\nPurple Yellow Purple Red Pink Yellow Red\nOrange Red Green Green Green Green Pink\nPurple Orange Gray Yellow Purple Brown Yellow\nRed Brown Yellow Green Purple Brown Brown\nYellow Yellow Pink Yellow Pink Red Orange\n\n\nExample 3\nInput:\nPink Green Blue Blue Brown Gray Green\nBlue Blue Orange Brown Orange Orange Brown\nGray Purple Brown Orange Gray Purple Orange\nGray Brown Gray Blue Red Brown Blue\nBrown Orange Purple Green Red Pink Pink\nGreen Brown Green Purple Purple Red Orange\nOrange Purple Green Gray Orange Blue Green\nRed Pink Pink Pink Purple Pink Pink\nOrange Orange Green Red Pink Gray Red\nRed Red Brown Gray Brown Blue Purple\nPink Red Blue Orange Orange Orange Blue\n\nOutput:\nGray Purple Yellow Yellow Brown Pink Purple\nYellow Yellow Red Brown Red Red Brown\nPink Green Brown Red Pink Green Red\nPink Brown Pink Yellow Orange Brown Yellow\nBrown Red Green Purple Orange Gray Gray\nPurple Brown Purple Green Green Orange Red\nRed Green Purple Pink Red Yellow Purple\nOrange Gray Gray Gray Green Gray Gray\nRed Red Purple Orange Gray Pink Orange\nOrange Orange Brown Pink Brown Yellow Green\nGray Orange Yellow Red Red Red Yellow\n\n\nHere is the input grid for the test example:\nInput:\nOrange Pink Pink Orange Purple Pink Purple Red Purple\nOrange Gray Orange Orange Purple Orange Blue Orange Brown\nPink Green Blue Brown Orange Orange Purple Pink Brown\nRed Blue Gray Brown Red Red Gray Green Gray\nPink Blue Blue Blue Gray Red Brown Pink Blue\nGreen Orange Brown Green Brown Blue Purple Green Green\nOrange Pink Orange Gray Pink Red Green Blue Red\nBrown Brown Purple Brown Blue Brown Pink Brown Gray\nBlue Orange Orange Blue Red Brown Purple Green 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 Gray Gray Red Green Gray Green Orange Green\nRed Pink Red Red Green Red Yellow Red Brown\nGray Purple Yellow Brown Red Red Green Gray Brown\nOrange Yellow Pink Brown Orange Orange Pink Purple Pink\nGray Yellow Yellow Yellow Pink Orange Brown Gray Yellow\nPurple Red Brown Purple Brown Yellow Green Purple Purple\nRed Gray Red Pink Gray Orange Purple Yellow Orange\nBrown Brown Green Brown Yellow Brown Gray Brown Pink\nYellow Red Red Yellow Orange Brown Green Purple 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:\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink\n\nOutput:\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nOrange 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\nOrange 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\nOrange 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\n\nOutput:\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Yellow Yellow Blue Green\nYellow Green Blue Blue Green\nBlue Blue Blue Red Green\nGreen Yellow Red Blue Blue\nGreen Blue Blue Red Blue\n\nOutput:\nBlue Red Red Yellow Blue\nRed Blue Yellow Yellow Blue\nYellow Yellow Yellow Green Blue\nBlue Red Green Yellow Yellow\nBlue Yellow Yellow Green Yellow\n\n\nExample 2\nInput:\nBlue Green Blue Blue Yellow\nRed Yellow Blue Green Blue\nGreen Red Red Green Red\nBlue Green Red Green Green\nYellow Red Yellow Red Red\n\nOutput:\nYellow Blue Yellow Yellow Red\nGreen Red Yellow Blue Yellow\nBlue Green Green Blue Green\nYellow Blue Green Blue Blue\nRed Green Red Green Green\n\n\nExample 3\nInput:\nBlue Blue Red Red Yellow\nYellow Yellow Blue Green Green\nGreen Green Red Blue Red\nBlue Yellow Green Yellow Blue\nRed Green Green Green Red\n\nOutput:\nYellow Yellow Green Green Red\nRed Red Yellow Blue Blue\nBlue Blue Green Yellow Green\nYellow Red Blue Red Yellow\nGreen Blue Blue Blue Green\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Green Green Red\nGreen Red Blue Green Yellow\nRed Red Yellow Blue Red\nRed Green Red Yellow Green\nRed Green Red Yellow Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Blue Blue Green\nBlue Green Yellow Blue Red\nGreen Green Red Yellow Green\nGreen Blue Green Red Blue\nGreen Blue Green Red Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nGray Gray Gray Black Black Black Gray Gray Gray Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nPurple Purple Purple Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black\nPurple Purple Purple Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black\nPurple Purple Purple Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black\nRed Red Red Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nRed Red Red Black Black Black Purple Purple Purple Red Red Red Black Black Black Black Black Black Gray Gray Gray Red Red Red Black Black Black Black Black Black\nRed Red Red Black Black Black Purple Purple Purple Red Red Red Black Black Black Black Black Black Gray Gray Gray Red Red Red Black Black Black Black Black Black\nRed Red Red Black Black Black Purple Purple Purple Red Red Red Black Black Black Black Black Black Gray Gray Gray Red Red Red Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nPurple Purple Purple Red Red Red Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nPurple Purple Purple Red Red Red Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nPurple Purple Purple Red Red Red Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray 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 Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nYellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black 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 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 Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Blue 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 Blue 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 Blue 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 Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Black Black Black Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow\nGray Gray Gray Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nGray Gray Gray Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nGray Gray Gray Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Gray Gray Gray Blue Blue Blue Yellow Yellow Yellow Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink\n\nOutput:\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red 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 Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Green Green Green\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Green Green Green\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red 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 Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black 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 Gray Gray Black Black Red Red Black Black Black\nBlack Black Black Black Blue Blue Black Blue Red Red Blue Black Black\nBlack Black Black Black Gray Gray Black Blue Red Red Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Green Gray Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Purple Blue Black Black Black\nBlack Green Black Green Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Purple Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Brown Blue Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown 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 Blue Blue Black Black Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Purple Blue Purple Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Purple Purple Black Black Black\nBlack Purple Black Purple Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue 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 Purple Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple 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 Red Red Yellow Green Black Black Black Black Black Black\nBlack Black Black Blue Orange Black Black Black Black Black Black Black\nBlack Black Red Red Yellow Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Green Purple Blue Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Pink\nBlack Black Brown Brown Brown Black Black Black Black Black Blue Pink\nBlack Black Black Black Brown Black Black Black Black Black Black Black\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 Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Blue Purple Purple Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Blue Blue Blue Black Black Black Black Black Blue Blue\nBlack Black Black Black Blue Black Black Black Black Black Black Black\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 Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black Black Black Purple Red\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Purple Green Purple Black Black Black\nBlack Black Black Black Black Black Purple Blue 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 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 Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Blue Purple Blue Black Black Black\nBlack Black Black Black Black Black Blue Purple Blue 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 Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Blue Blue Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Yellow\nBlack Black Yellow Blue Blue Yellow Black Black Black Black Black Black Brown Yellow\nBlack Black Pink Purple Purple Pink Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Blue Blue Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Purple Blue Blue Purple Black Black Black Black Black Black Blue Blue\nBlack Black Purple Blue Blue Purple Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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\nGray Gray Gray Black Black Black\nBrown Brown Brown Brown Brown Brown\n\nOutput:\nBlue Blue Blue Blue Blue Blue\nGray Gray Gray Black Black Black\nBrown Brown Brown Brown Brown Brown\nGray Gray Gray Black Black Black\nGray Gray Gray Black Black Black\nGray Gray Gray Black Black Black\n\n\nExample 2\nInput:\nGray Gray Gray Gray Gray\nRed Red Red Black Black\nPurple Purple Purple Purple Purple\n\nOutput:\nGray Gray Gray Gray Gray\nRed Red Red Black Black\nPurple Purple Purple Purple Purple\nRed Red Red Black Black\nRed Red Red Black Black\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown\nRed Red Black Black Black\nGreen Green Green Green Green\n\nOutput:\nBrown Brown Brown Brown Brown\nRed Red Black Black Black\nGreen Green Green Green Green\nRed Red Black Black Black\nRed Red Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Black Black Black Black Black Black\nGreen Green Green Green Green 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```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Black Black Black Black Black Black\nGreen Green Green Green Green Green Green\nOrange Black Black Black Black Black Black\nOrange Black Black Black Black Black Black\nOrange Black Black Black Black Black Black\nOrange Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Yellow Pink Black Black Black Black\nBlack Black Black Yellow Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Pink 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\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Pink Black Black Black\nBlack Black Black Yellow Red Pink Black Black Black Black\nBlack Black Yellow Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Pink Black Yellow Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Gray Gray Orange Orange Black Black\nBlack Black Gray Gray Orange Orange Black Black\nBlack Black Brown Brown Gray Gray Black Black\nBlack Black Brown Brown Gray Gray Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Brown Brown Orange Orange Black Black\nBlack Black Brown Brown Orange Orange Black Black\nBlack Black Brown Brown Gray Gray Black Black\nBlack Black Brown Brown Gray Gray Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Green Green Black Black\nBlack Black Yellow Yellow Green Green Black Black\nBlack Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Brown Brown Red Red Black Black\nBlack Black Brown Brown Red Red Black Black\nBlack Black Red Red Pink Pink Black Black\nBlack Black Red Red Pink Pink Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Black\nBlack Black Red Red Pink Pink Black Black\nBlack Black Red Red Pink Pink Black Black\nBlack Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black\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\n\n\nDirectly provide the output grids corresponding to the given test input 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 Red Red Yellow Yellow Black Black\nBlack Black Red Red Yellow Yellow Black Black\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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with 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 Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue 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 Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Blue Red Red Black\nBlack Black Black Black Blue Red Red Black\nBlack Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Blue Red Red Black Black Black Black\nBlack Blue Red Red Black Black Black Black\nBlack Blue Blue Blue 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 Blue Red Red Black\nBlack Black Black Black Blue Red Red Black\nBlack Black Black Black Blue Blue Blue 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Red Red Black Black Black\nBlack Black Black Black Blue Red Red Black Black Black\nBlack Black Black Black Blue Blue Blue 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 Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Red Red Black Blue Red Red Black\nBlack Black Black Blue Red Red Black Blue Red Red Black\nBlack Black Black Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue 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 Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Red Red Black Black\nBlack Black Black Black Blue Red Red Black Black\nBlack Black Black Black Blue Blue Blue 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 Purple Black Black Black Black Black\nPurple Black Black Black Black Black Black Purple Black Black\nBlack Black Black Purple Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Yellow Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black 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 Yellow Black Black Black Black Black\nPurple Black Black Black Black Black Black Purple Black Black\nBlack Black Black Purple Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow 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 Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Yellow Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Purple 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 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 Purple Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Purple 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 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 Purple Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Purple Black Purple Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Yellow 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 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\n\n\nDirectly provide the output grids corresponding to the given test input 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 Purple Black Black Black Black\nBlack Black Black Purple Black Purple Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 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 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 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 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 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 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 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 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 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 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 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 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 Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 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\n\nOutput:\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 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 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 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Brown Brown Brown Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue 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 Blue 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 Blue 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 Blue 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 Blue 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 Blue 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Black Black Brown Brown\nBrown Brown Brown Black Brown Brown\nBlack Black Purple Purple Brown Black\nBlack Brown Purple Purple Black Black\nBrown Brown Black Brown Brown Brown\nBrown Brown Black Black Brown Brown\n\nOutput:\nBrown Brown Black Black Brown Brown\nBrown Brown Black Brown Brown Brown\nBlack Brown Purple Purple Black Black\nBlack Black Purple Purple Brown Black\nBrown Brown Brown Black Brown Brown\nBrown Brown Black Black Brown Brown\n\n\nExample 2\nInput:\nBlack Green Green Pink Black\nGreen Green Green Pink Pink\nBlack Black Green Purple Pink\nGreen Green Green Pink Pink\nBlack Green Green Pink Black\n\nOutput:\nBlack Red Black Red Black\nRed Red Black Red Red\nRed Red Red Red Red\nPink Pink Purple Pink Pink\nBlack Pink Pink Pink Black\n\n\nExample 3\nInput:\nRed Red Red Black Black\nPink Orange Gray Gray Black\nGray Orange Pink Pink Pink\nOrange Red Orange Black Black\nGray Orange Pink Pink Pink\nPink Orange Gray Gray Black\nRed Red Red Black Black\n\nOutput:\nGreen Pink Gray Orange Gray Pink Green\nGreen Orange Orange Green Orange Orange Green\nGreen Gray Pink Orange Pink Gray Green\nBlack Gray Pink Black Pink Gray Black\nBlack Black Pink Black Pink Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Purple Purple Black Purple Purple Red\nBrown Blue Purple Purple Purple Blue Brown\nPink Green Gray Black Gray Green Pink\nGray Blue Pink Pink Pink Blue Gray\nBlue Blue Pink Red Pink Blue Blue\nBlack Brown Brown Pink Brown Brown Black\nBlack Red Red Orange Red 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```\nGreen Brown Pink Gray Yellow Black Black\nPurple Yellow Red Yellow Yellow Brown Green\nPurple Purple Gray Pink Pink Brown Green\nBlack Purple Black Pink Green Pink Orange\nPurple Purple Gray Pink Pink Brown Green\nPurple Yellow Red Yellow Yellow Brown Green\nGreen Brown Pink Gray Yellow Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Yellow Yellow Black\nBlack Black Yellow Red Yellow Black Black Yellow Black Black\nBlack Black Black Yellow Yellow Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Black\nYellow Black Yellow\nBlack Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Yellow Yellow Yellow Black\nBlack Black Orange Black Black Red Yellow Black Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Blue Blue Blue Black Black\nBlack Brown Brown Brown Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow\nYellow Black Yellow\nYellow Yellow 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 Pink Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Purple Black Black Pink Pink Pink Black Black\nBlack Black Purple Black Black Black Red Black Black Black\nBlack Black Purple Purple Purple Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow\nBlack Yellow Yellow\nBlack Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Pink Black Black\nBlack Brown Brown Brown Black Pink Pink Pink Black Black\nBlack Black Brown Brown Black Black Black Pink Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Red Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Black\nPink Pink Pink\nBlack Pink Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Yellow Yellow Black Black Black Black\nPink Black Black Black Black Yellow Black Black Black Black\nPink Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Yellow Yellow Black Black Black Black\nPink Black Black Black Black Yellow Black Black Black Black\nPink 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\n\n\nExample 2\nInput:\nRed Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Pink Pink Pink Black Black\nRed Red Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Black Pink Black Black\nBlack Black Black 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 Yellow Yellow Yellow Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange 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 Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Purple Purple Purple Black Black\nBlack Red Red Black Black Purple Purple Purple Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Yellow Red Red Black\nBlack Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Brown Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Brown Brown Brown Black\nBrown Brown Black Black Black Brown Brown Brown Brown Brown\nBrown Brown Blue Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Gray Gray Gray Pink Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Orange Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Yellow Brown Black Black Black Black\nBlack Black Black Black Black Brown Yellow Orange Black Black\nBlack Black Black Black Black Brown Red Black Black Black\nBlack Black Black Black Black Black Purple Brown Black Black\nBrown Brown Blue Black Black Black Purple Brown Brown Black\nBrown Brown Black Black Black Black Purple Brown Brown Black\nBlue Black Black Black Black Black Purple Brown Brown Black\nBlack Black Black Black Black Black Purple Brown Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Red Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Pink 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 Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Yellow Brown Pink Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Yellow Brown Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black\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 Black Black\nBlack Yellow Black Yellow Black Black Black Black Black Black\nPink Brown Black Brown Pink Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Gray Black Pink Blue Black Black Black Black Black Black Black\nBlack Brown Black Blue Blue Black Black Black Black Black Black Black\nBlack Brown Brown Blue Blue Black Black Black Gray Black Black Black\nBlack Black Purple Black Black Black Black Orange Pink Pink Black Black\nBlack Black Black Black Black Black Purple Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Green Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black 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\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 Gray Black Black Black Black Black Black Black Black\nBlack Brown Brown Gray Black Black Black Purple Black Black Black Black\nPurple Brown Black Black Black Black Black Orange Orange Black Black Black\nBlack Blue Blue Pink Black Black Black Black Pink Gray Black Black\nBlack Blue Blue Blue Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Blue Green 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\nBlack Black Black Black Black Black Black Black Blue Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Purple Black Black Black Black\nBlack Black Red Red Blue Purple Purple Black Black Black Black\nBlack Black Red Red Blue Purple Purple Black Black Black Black\nBlack Black Black Black Green Green Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black 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 Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Blue Blue Green Black Black Black Black Black\nBlack Black Green Purple Purple Green Black Black Black Black Black\nBlack Black Purple Purple Purple Purple 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:\nPink Black Black Black Pink Black Pink Pink Black Black Black Black Black Pink Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Pink Pink Black Black Black Black Pink Black Pink Black Black Black Black Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Black Black Black Black Black Pink Pink Black Black Black Black Black Pink Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Pink Pink Pink Pink Black Black Black Black Pink Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Pink Black Pink Pink Black Black Pink Black Pink Pink Black Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nPink Black Pink Black Black Pink Pink Black Black Black Pink Pink Black Pink Black\nPink Black Black Black Black Black Black Pink Black Black Black Pink Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nGreen Black Green Green Green Black Green Black Black Black Green Green Green Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Green Black Green Black Black Green Black Black Green Black Green Green Black Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Black Black Black Black Black Black Black Green Green Black Black Black Black Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Black Green Black Green Black Black Green Black Black Green Green Black Black Green Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Green Black Black Black Black Green Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Black Black Black Green Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Green Black Black Green Green Black Black Green Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nPink Black Black Black Black Black Black Pink Black Black Pink Black Black Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Pink Black Black Black Black Pink Black Black Pink Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Pink Black Pink Black Pink Pink Black Pink Pink Black Black Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Pink Black Black Black Black Pink Pink Pink Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Black Black Black Black Black Pink Black Black Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Pink Black Pink Pink Black Black Black Black Black Pink Pink Black Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Black Pink Black Pink Pink Black Pink Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Pink Pink Black Pink Black Black Black Black Pink Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Green Black Green Black Green Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Green Black Black Black Green Green Black Black Black Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Black Green Black Black Black Black Green Green Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Green Black Green Black Black Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Green Green Black Black Black Black Black Black Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Green Black Green Black Black Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Black Green Black Green Green Green Black Black Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Green Black Black Green Green Black Green Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Green Green Black Black Black Green Black Black\nRed Red Red Red Red Red Red Red Red Red Red\nGreen Black Green Green 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```\nGreen Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Gray Gray Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Gray Gray Green Green 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 Green Green 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 Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input 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 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 Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nBlack Black Black Black Black\nRed Red Red Red Red\nRed Red Black Black Red\nRed Red Black Black Red\nRed Red Red Red Red\nRed Red Red Red Red\nBlack Black Black Black Black\nRed Red Red Red Red\nRed Black Black Red Red\nRed Black Black Red Red\nRed Red Red Red Red\nRed Red Red Red Red\n\nOutput:\nBlue Pink Orange Black Black\nBlue Pink Orange Black Black\nBlue Pink Orange Black Black\n\n\nExample 2\nInput:\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nBlack Black Black Black Black\nRed Red Red Red Red\nRed Black Black Red Red\nRed Black Black Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nBlack Black Black Black Black\nRed Red Red Red Red\nRed Red Black Black Red\nRed Red Black Black Red\nRed Red Red Red Red\nRed Red Red Red Red\n\nOutput:\nBlue Orange Pink Black Black\nBlue Orange Pink Black Black\nBlue Orange Pink Black Black\n\n\nExample 3\nInput:\nRed Red Red Red Red\nRed Black Black Red Red\nRed Black Black Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nBlack Black Black Black Black\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nBlack Black Black Black Black\nRed Red Red Red Red\nRed Red Black Black Red\nRed Red Black Black Red\nRed Red Red Red Red\nRed Red Red Red Red\n\nOutput:\nOrange Blue Pink Black Black\nOrange Blue Pink Black Black\nOrange Blue Pink Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red\nRed Black Black Red Red\nRed Black Black Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nBlack Black Black Black Black\nRed Red Red Red Red\nRed Red Black Black Red\nRed Red Black Black Red\nRed Red Red Red Red\nRed Red Red Red Red\nBlack Black Black Black Black\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Pink Blue Black Black\nOrange Pink Blue Black Black\nOrange Pink 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black 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 Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Pink Pink Black\nYellow Yellow Black Black Pink Pink Black\nYellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPurple Purple Black Brown Brown Black Black\nPurple Purple Black Brown Brown Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Black Black Black Black Black Black Black Black\nPurple Brown Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Green Green Black Blue Blue\nBlack Green Green Black Blue Blue\nBlack Black Black Black Black Black\nYellow Yellow Black Red Red Black\nYellow Yellow Black Red Red Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Green Blue Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Red Red Black Green Green\nBlack Black Red Red Black Green Green\nBrown Brown Black Black Black Black Black\nBrown Brown Black Black Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Green Green Black\nBlack Black Green Green Black\nGray Gray Black Black Black\nGray Gray Black Pink 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Gray Black Green Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Red Red Black Black\nRed Red 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\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 Red Red Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\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 Blue Blue\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Red Red Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Red Red Black Black Black Black Black Black Black\nBlack Red Red Black Black Red 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 Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Black Black Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow\nYellow Yellow\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nPurple Purple Black Black Purple Purple\nPurple Purple Black Black Purple Purple\nBlack Black Purple Purple Black Black\nBlack Black Purple Purple Black Black\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nPurple Purple Black Black\nPurple Purple Black Black\nBlack Black Purple Purple\nBlack Black Purple Purple\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black 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 Black Black Black Purple Purple\nBlack Black Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Black Black\nBlack Black Purple Purple Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Purple Purple\nBlack Black Black Black Purple Purple\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nBlack Black Purple Purple Black Black\nBlack Black Purple Purple 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black\nBlack Blue Gray Black Purple Purple Black Yellow Black Black Yellow\nBlack Black Black Gray Black Gray Black Black Black Yellow Black\nBlack Black Black Black Black Brown Brown Black Black Black Black\nBlack Brown Black Black Purple Black Black Yellow Blue Black Black\nBlack Gray Gray Blue Black Brown Purple Black Blue Black Black\nBlack Black Black Blue Black Black Black Gray Black Brown Black\nBlack Black Yellow Black Black Black Black Gray Black Black Black\nBlue Black Black Black Blue Black Blue Black Black Purple Black\nBlack Black Black Black Black Black Black Gray Black Black Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black\nBlack Blue Gray Black Purple Purple Black Yellow Black Black Black\nBlack Black Black Gray Black Gray Black Black Black Yellow Black\nBlack Black Black Black Black Brown Brown Black Black Black Black\nBlack Brown Black Black Purple Black Black Yellow Blue Black Black\nBlack Gray Gray Blue Black Brown Purple Black Blue Black Black\nBlack Black Black Blue Black Black Black Gray Black Brown Black\nBlack Black Yellow Black Black Black Black Gray Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Green Black Black Black Black Black Green Pink Black\nGreen Pink Black Black Black Green Black Black Black Black\nGray Black Black Purple Black Pink Black Black Black Black\nBlack Purple Black Black Orange Black Black Gray Black Pink\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Gray Black Orange Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black\nBlack Black Gray Black Green Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Green Pink Black\nBlack Pink Black Black Black Green Black Black Black Black\nBlack Black Black Purple Black Pink Black Black Black Black\nBlack Purple Black Black Orange Black Black Gray Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Gray Black Orange Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Orange Orange 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 Green Black Black Black\nBlack Blue Black Black Black Black Black Black Blue Gray Black Black\nBlack Black Black Black Black Black Black Gray Green Black Black Black\nBlack Black Pink Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Gray Pink Black Yellow Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Green Black Gray Green Black Yellow\nBlack Black Black Black Black Black Pink Black Black Gray Black Black\nBlack Black Black Black Yellow 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 Blue Black Black Black Black Black Black Blue Gray Black Black\nBlack Black Black Black Black Black Black Gray Green Black Black Black\nBlack Black Pink Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Gray Pink Black Yellow Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Green Black Gray Green Black Black\nBlack Black Black Black Black Black Pink Black Black Gray Black Black\nBlack Black Black Black Yellow 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 Blue Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Blue Brown Red Black Black Black Blue Purple\nBlack Brown Black Black Purple Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Blue Black Purple Purple Black Black\nBlack Black Purple Black Black Black Black Black Red Black Purple Purple\nBlack Black Black Black Gray Red Red Gray Blue Brown Black Black\nBlack Black Black Purple Black Brown Black Black Black Red Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Brown Black Blue Black Black Black\nBlack Brown Red Black Brown Black Black Black Black Black Blue Black\nBlack Black Black Black Blue Black Black Purple Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Blue Brown Red Black Black Black Blue Black\nBlack Brown Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Purple Purple Black Black\nBlack Black Purple Black Black Black Black Black Red Black Purple Black\nBlack Black Black Black Gray Red Red Gray Blue Brown Black Black\nBlack Black Black Purple Black Brown Black Black Black Red Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Brown Black Blue Black Black Black\nBlack Brown Red Black Brown Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow\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 Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Brown 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 Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack 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\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 Orange Black Black\nBlack Black Purple Orange Black Black\nBlack Black Black Brown Pink Black\nBlack Black Black Brown Pink Yellow\n\nOutput:\nBlack Black Orange Orange Black Black\nBlack Black Orange Orange Black Black\nBlack Pink Brown Brown Pink Black\nYellow Pink Brown Brown Pink Yellow\n\n\nExample 2\nInput:\nBlack Black Purple Brown\nBlack Black Brown Black\nBlack Orange Black Brown\nBlack Black Red Black\nBlack Black Red Black\n\nOutput:\nBrown Purple Purple Brown\nBlack Brown Brown Black\nBrown Black Black Brown\nBlack Red Red Black\nBlack Red Red Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Gray Pink\nBlack Black Gray Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nPink Gray Black Gray Pink\nBlack Black Gray Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black\nBlack Pink Black\nBlack Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black\nBlack Pink Black\nGray Black Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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\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 Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black 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 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 Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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\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 Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with 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 Yellow Black Black Yellow\nBlack Black Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Yellow Black Yellow\nGreen Yellow Black Black Yellow Black Yellow Black\nYellow Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Yellow\nBlack Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Yellow Black Black Black\n\nOutput:\nBlack Black Yellow Black Yellow Black Black Yellow\nBlack Black Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Yellow Black Yellow\nGreen Blue Black Black Yellow Black Yellow Black\nBlue Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Yellow\nBlack Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Yellow Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Yellow Green Yellow Black Black\nBlack Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow\nBlack Yellow Black Black Black Black Yellow\nBlack Black Black Yellow Black Yellow Black\nBlack Yellow Black Black Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Blue Green Blue Black Black\nBlack Yellow Yellow Blue Black Black Black\nBlack Black Black Black Yellow Yellow Yellow\nBlack Yellow Black Black Black Black Yellow\nBlack Black Black Yellow Black Yellow Black\nBlack Yellow Black Black Yellow Black Black\n\n\nExample 3\nInput:\nBlack Yellow Black Black Yellow Yellow Black Yellow Black\nBlack Yellow Yellow Black Black Black Yellow Black Black\nGreen Yellow Black Black Black Black Yellow Black Black\nYellow Yellow Black Black Black Black Yellow Black Black\nBlack Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Yellow Black\nBlack Black Black Yellow Black Black Black Yellow Black\n\nOutput:\nBlack Yellow Black Black Yellow Yellow Black Yellow Black\nBlack Yellow Yellow Black Black Black Yellow Black Black\nGreen Blue Black Black Black Black Yellow Black Black\nBlue Yellow Black Black Black Black Yellow Black Black\nBlack Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Yellow Black\nBlack Black Black Yellow Black Black Black Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Yellow Green Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Yellow\nYellow Yellow Black Yellow Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Blue Green Blue Yellow\nBlack Black Black Black Yellow Yellow Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Yellow\nYellow Yellow Black Yellow Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Yellow Black\nBlack Black Black Black Yellow Yellow Yellow 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\n\nOutput:\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen\n\nOutput:\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Black Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\n\n\nExample 3\nInput:\nGray\n\nOutput:\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Black Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple\n\n\nDirectly provide the output grids corresponding to the given test input 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\nPurple Purple Purple Purple Purple\nPurple Purple Black Purple Purple\nPurple Purple Purple Purple Purple\nPurple 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\nBlack Purple Purple Black Black Black Black\nBlack Pink Purple Black Black Black Black\nBlack Pink Purple Black Black Black Black\nBlack Black Purple Black Black Black Black\nBlack Black Yellow Black Black Black Black\nBlack Black Gray Black Gray Black Black\nBlack Black Gray Gray Gray Red Black\nBlack 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\nPurple Purple Black Black Black Black Black Purple Purple Black\nPink Purple Black Black Black Black Black Pink Purple Black\nPink Purple Black Black Black Black Black Pink Purple Black\nBlack Purple Black Black Black Black Black Black Purple Black\nBlack Yellow Black Black Black Black Black Black Yellow Black\nPurple Gray Black Gray Black Black Black Purple Gray Black\nPink Gray Gray Gray Red Black Black Pink Gray Gray\nPink Purple Black Black Black Black Black Pink Purple Black\nBlack Purple Black Black Black Black Black Black Purple Black\nBlack Yellow Black Black Black Black Black Black Yellow Black\nBlack Gray Black Gray Black Black Black Black Gray Black\nBlack Gray Gray Gray Red Black Black Black Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Red Red Yellow Black Black\nBlack Purple Gray Gray Gray Gray Purple Black\nBlack Blue Blue Gray Gray Blue Blue Black\nBlack Black Brown Blue Blue Brown Black Black\nBlack Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nPurple Gray Gray Gray Gray Purple Gray Gray Gray Gray Purple Black\nBlue Blue Gray Gray Blue Blue Blue Gray Gray Blue Blue Black\nBlack Brown Blue Blue Brown Black Brown Blue Blue Brown Black Black\nBlack Brown Brown Brown Brown Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Red Red Yellow Black Yellow Red Red Yellow Black Black\nPurple Gray Gray Gray Gray Purple Gray Gray Gray Gray Purple Black\nBlue Blue Gray Gray Blue Blue Blue Gray Gray Blue Blue Black\nBlack Brown Blue Blue Brown Black Brown Blue Blue Brown Black Black\nBlack Brown Brown Brown Brown Black Brown Brown Brown Brown Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Blue Purple Black Black\nBlack Black Black Purple Green Brown Black Black\nBlack Black Black Black Blue Gray Orange Black\nBlack Black Green Black Black Gray Pink Black\nBlack Red Red Red Purple Brown Pink Black\nBlack Black Red Red Black Pink Pink Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Purple Blue Purple Black Black Black Purple Blue Purple Black\nBlack Black Purple Green Brown Black Black Black Purple Green Brown Black\nBlack Black Black Blue Gray Orange Black Black Black Blue Gray Orange\nBlack Green Black Black Gray Pink Black Green Black Black Gray Pink\nRed Red Red Purple Brown Pink Red Red Red Purple Brown Pink\nBlack Red Red Black Pink Pink Black Red Red Black Pink Pink\nBlack Black Purple Blue Purple Black Black Black Purple Blue Purple Black\nBlack Black Purple Green Brown Black Black Black Purple Green Brown Black\nBlack Black Black Blue Gray Orange Black Black Black Blue Gray Orange\nBlack Green Black Black Gray Pink Black Green Black Black Gray Pink\nRed Red Red Purple Brown Pink Red Red Red Purple Brown Pink\nBlack Red Red Black Pink Pink Black Red Red Black Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Purple Purple Purple Purple Black\nBlack Blue Blue Blue Blue Black\nBlack Brown Gray Gray Brown Black\nBlack Pink Black Black Pink 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```\nPurple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue\nBrown Gray Gray Brown Brown Gray Gray Brown\nPink Black Black Pink Pink Black Black Pink\nPurple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue\nBrown Gray Gray Brown Brown Gray Gray Brown\nPink Black Black Pink Pink 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Blue Blue Blue Gray Gray Gray Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nGray Gray Gray Blue Blue Blue Gray Gray Gray Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nGray Gray Gray Blue Blue Blue Gray Gray Gray Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Pink Pink Pink Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Pink Pink Pink Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black\nPink Pink Pink Blue Blue Blue Pink Pink Pink Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple 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 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 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 Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Green Green Green Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Green Green Green Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Green Green Green Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Orange Orange Orange Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Green Green Green Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Green Green Green Red Red Red Black Black Black Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Black Black Black Black Black Black\nRed Red Red Green Green Green Red Red Red Black Black Black Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Black Black Black Black Black Black\nRed Red Red Green Green Green Red Red Red Black Black Black Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nPink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nPink Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlue Blue Blue Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nOrange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange\nOrange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange\nOrange Orange Orange Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Blue Blue Blue Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Green Green Green Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Green Green Green Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Green Green Green Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Red Red Red Green Green Green\nBlue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Red Red Red Green Green Green\nBlue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Red Red Red Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Green Green Green\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Red Red Red Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Red Red Red Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Red Red Red Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Blue Blue Blue Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Orange Orange Orange\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Red Red Red Brown Brown Brown\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Red Red Red Brown Brown Brown\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange Red Red Red Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Red Red Red Yellow Yellow Yellow Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Red Red Red Yellow Yellow Yellow Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Brown Brown Brown Red Red Red Yellow Yellow Yellow Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Brown Brown Brown Pink Pink Pink Black Black Black Black Black Black Gray Gray Gray Green Green Green Green Green Green Gray Gray Gray Black Black Black\nPink Pink Pink Brown Brown Brown Pink Pink Pink Black Black Black Black Black Black Gray Gray Gray Green Green Green Green Green Green Gray Gray Gray Black Black Black\nPink Pink Pink Brown Brown Brown Pink Pink Pink Black Black Black Black Black Black Gray Gray Gray Green Green Green Green Green Green Gray Gray Gray Black Black Black\nRed Red Red Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Black Black Black\nRed Red Red Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Black Black Black\nRed Red Red Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Red Red Red Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Red Red Red Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Orange Orange Orange Red Red Red Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Purple Purple Purple Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Purple Purple Purple Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Purple Purple Purple Pink Pink Pink Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Green Green Green Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Green Green Green Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Green Green Green Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black\nRed Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black\nRed Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Orange Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Red Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Gray 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 Black Black Black Black Black\nBlack Black Black Red Black 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 Black 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 Black Black\nBlack Black Red 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:\nGray Pink Yellow Orange Pink Pink Red Red Pink Yellow Pink Pink Orange Red\nGray Pink Red Red Green Pink Yellow Orange Orange Red Orange Orange Orange Pink\nGray Pink Yellow Yellow Green Green Yellow Green Pink Yellow Orange Green Orange Yellow\nPurple Orange Yellow Yellow Green Red Red Orange Green Red Green Green Yellow Purple\nGray Yellow Red Orange Green Red Yellow Yellow Yellow Red Red Orange Pink Orange\nPurple Green Orange Pink Orange Pink Pink Green Green Yellow Red Green Orange Purple\nGreen Orange Green Yellow Red Green Pink Green Green Yellow Pink Red Green Red\nGreen Green Pink Orange Yellow Green Yellow Green Pink Red Pink Orange Yellow Red\nPink Pink Red Red Pink Yellow Yellow Orange Yellow Red Orange Orange Green Green\nYellow Red Orange Orange Yellow Green Red Pink Red Green Orange Red Orange Yellow\n\nOutput:\nBlue\n\n\nExample 2\nInput:\nGray Brown Pink Pink Gray Pink Orange Orange Orange Purple Pink Brown Orange Gray\nPurple Brown Gray Brown Pink Pink Pink Purple Gray Purple Purple Purple Pink Purple\nGray Gray Gray Gray Pink Orange Purple Orange Gray Purple Orange Gray Purple Pink\nGray Gray Brown Pink Purple Brown Purple Orange Orange Brown Gray Pink Purple Gray\nGray Gray Orange Pink Orange Gray Pink Orange Gray Gray Pink Orange Brown Purple\nGray Purple Pink Purple Orange Brown Purple Purple Brown Gray Gray Gray Pink Gray\nGray Purple Gray Gray Orange Brown Brown Orange Pink Brown Brown Orange Brown Purple\nGray Pink Orange Brown Pink Brown Brown Brown Brown Gray Orange Orange Orange Gray\nPurple Orange Purple Pink Brown Purple Pink Purple Pink Brown Orange Brown Orange Purple\nPink Purple Gray Pink Pink Gray Purple Pink Purple Brown Orange Brown Purple Purple\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nGray Red Orange Orange Brown Orange Orange Red Yellow Orange\nGray Pink Pink Pink Yellow Red Yellow Brown Red Orange\nGray Red Red Red Yellow Brown Brown Red Brown Orange\nPurple Yellow Brown Brown Brown Pink Brown Orange Orange Purple\nGray Pink Yellow Brown Pink Yellow Yellow Yellow Yellow Orange\nGray Orange Red Yellow Red Pink Yellow Red Red Brown\nGray Red Yellow Brown Brown Orange Orange Red Brown Red\nGray Pink Orange Orange Pink Pink Yellow Pink Red Orange\nPurple Pink Pink Brown Pink Orange Brown Red Pink Purple\nRed Yellow Brown Yellow Orange Brown Brown Pink Red Yellow\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nGray Orange Green Green Green Orange Pink Orange Gray Green\nGray Gray Gray Green Pink Yellow Green Gray Pink Pink\nGray Gray Green Gray Yellow Orange Green Yellow Green Pink\nGray Green Orange Green Yellow Yellow Pink Pink Orange Yellow\nPurple Yellow Gray Pink Orange Gray Yellow Orange Yellow Purple\nGray Gray Yellow Orange Orange Green Orange Gray Orange Pink\nGray Yellow Green Gray Pink Pink Gray Pink Green Gray\nGray Pink Orange Yellow Pink Pink Pink Yellow Orange Orange\nPurple Yellow Orange Gray Gray Pink Pink Gray Yellow Purple\nPink Gray Orange Yellow Green Gray Green Green 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```\nBlue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Brown Black Black Black Black Black Orange Purple Purple Black Black\nBlack Black Blue Black Purple Black Black Purple Black Black Black Black\nOrange Yellow Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Brown Yellow Black Black Black\nBlack Black Black Black Black Purple Black Pink Black Purple Black Black\nBlack Pink Orange Black Black Black Black Yellow Black Black Black Black\nBlack Black Blue Black Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Black Purple Purple Black Black\nBlack Brown Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Blue Black Brown Brown Black Purple Purple Purple Black Black\nOrange Yellow Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Green Black Brown Brown Brown Brown Yellow Black Black Black\nBlack Black Black Black Black Purple Black Yellow Yellow Purple Black Black\nBlack Pink Orange Black Black Black Black Yellow Black Black Black Black\nBlack Black Blue Black Green Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Purple Black Black Black Blue Black Black Black\nBlue Black Black Blue Black Black Black Green Black Gray\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Purple\nBlack Black Black Black Black Black Blue Black Pink Black\nBlack Black Black Brown Black Black Yellow Black Black Black\nBlack Purple Black Brown Orange Black Black Black Black Black\n\nOutput:\nBlack Black Purple Black Black Black Blue Black Black Black\nBlue Black Black Blue Black Black Black Green Black Gray\nBlack Gray Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Green Purple\nBlack Black Black Black Black Black Blue Black Pink Black\nBlack Black Brown Brown Brown Black Yellow Black Black Black\nBlack Purple Brown Brown Brown Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Black Black Black Brown Black Black Black Black\nYellow Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Pink Black\nBlack Black Black Pink Blue Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black\nBlack Orange Black Brown Black Black Black Black Black\nBlack Black Yellow Gray Black Black Black Black Black\n\nOutput:\nOrange Black Black Black Brown Black Black Black Black\nYellow Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Pink Black\nBlack Black Black Pink Blue Black Pink Pink Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black\nBlack Orange Black Brown Black Black Black Black Black\nBlack Black Yellow Gray Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Gray Black Black\nBlack Black Black Black Black Black Yellow Brown Yellow\nBlack Black Black Black Black Black Black Black Orange\nBlack Blue Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Gray Black Black\nBlack Black Pink Brown Black Black Black Black Black\nBlack Black Black Pink Purple Gray Black Black Black\nPink Black Black Black Black Black Black Black Red\nBlack Black Black Gray Orange Black Black Black Black\nBlack Black Black Black Black Black Purple 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```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Gray Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Orange\nBlack Blue Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Gray Black Black\nBlack Black Pink Purple Purple Gray Gray Black Black\nBlack Pink Pink Pink Purple Gray Black Black Black\nPink Black Black Black Gray Black Black Black Red\nBlack Black Black Gray Orange Black Black Black Black\nBlack Black Black Black Black Black Purple 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 Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nGray Green Black Gray Black Black Black Black Black Black\nRed Black Black Pink Black Black Black Black Black Black\nYellow Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Black Black Black Black Brown Yellow\nBlack Black Black Yellow Gray Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Pink Yellow Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Blue\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Blue Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Brown Black Black Purple Black Black Black Black\nBlack Brown Black Orange Orange Black Black Black Black Red\nBlack Orange Purple Green Purple Black Yellow Blue Black Black\nBlack Black Yellow Orange Blue Black Yellow Black Orange Black\nBrown Black Black Black Brown Brown Black Black Black Black\nBlack Black Red Black Black Black Yellow Black Black Brown\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Red Blue Black Black Black Black Black Black Blue\nBlue Black Black Black Black Yellow Black Black Orange Black\nYellow Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Brown Black Black\nPink Yellow Black Black Black Orange Black Brown Black Black\nBlack Black Yellow Black Black Black Black Black Orange Black\nBlack Gray Blue Black Black Black Black Brown Black Black\nBlue Orange Black Purple Black Black Purple Black Black Black\nPurple Black Black Black Pink Green Black Yellow Black Black\nBlack Black Black Black Black Pink Black Purple Orange Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Pink Green Black Black\nPurple Blue Black Black Black Black Black Yellow Pink Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Blue Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlue Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Black Black Gray Black Blue Black Brown\nBlack Black Gray Black Pink Black Black Black Black Blue\nBlack Gray Black Purple Purple Gray Black Yellow Black Black\nBrown Black Black Pink Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Pink Pink Black Black Black\nBlack Black Brown Black Red Black Blue Black Black Blue\nYellow Black Black Black Black Blue Gray Pink Black Black\nBlack Black Black Black Orange Black Orange Brown Purple Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Blue Black Blue 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\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Purple Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Blue Black Purple Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Purple Black Black Black\nBlack Black Black Brown Black Brown Black Black Black Black Brown Blue Black Black Black Black Purple\nPurple Black Yellow Brown Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Purple Black Black Purple Blue Black Yellow Black Purple\nBlack Purple Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Purple Black Black Black Blue Black Black\nBlack Black Brown Black Blue Black Black Black Black Blue Blue Black Black Black Black Purple Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Purple Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Purple Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Brown Blue Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Purple Blue Black Yellow Black Purple Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Green Black Black Black Black Orange Black Green Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Green Black Black Black Purple Black\nOrange Black Purple Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Purple Black Black Black Black Black Black\nBlack Purple Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Purple Black Black Pink Black Black Pink Black\nBlack Green Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Green\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange Green Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Purple\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 Orange Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Green Black Black Black Purple Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Pink Black Gray Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nGray Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Gray Black Black Gray Black Black Gray Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Gray Black Black Black Pink Black Pink Black Black Black Black Black Gray\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Pink 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 Pink 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 Gray Black Black Black\nBlack Black Black Black Black Black Black Pink Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Gray Black Black Gray Black Black Gray Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Gray Red Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Brown\nBlack Black Red Black Black Black Black Black Red Black Black Red Black Black\nBlack Gray Black Black Brown Red Brown Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black\nRed Black Red Brown Black Black 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 Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBrown Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Gray Red Black Black Black 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 Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Red Black Black Red Black Black Black Black Black Black\nBrown Red Brown Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlue Black Black Blue Blue Brown Black Yellow Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Brown Black Black\nBrown Yellow Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Blue Black Black Yellow Black Brown\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nGray Black Black Gray Gray Yellow Black Gray Black Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Yellow Black Black\nYellow Gray Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Gray Black Black Gray Black Yellow\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Green Orange Black Green Black Orange Black Green Black\nBlack Black Black Purple Orange Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Green Black Green\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\n\nOutput:\nGray Gray Gray Black Gray Black Gray Black Gray Black\nBlack Black Black Yellow Gray Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Gray Black Gray\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Blue\nGray Black Black Black Black Blue Pink Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nPink Black Green Black Black Black Black Black Gray Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Blue\nGray Black Black Green Green Black Black Black Black Black\nBlack Black Pink Black Black Black Black Gray Black Black\nBlack Green Black Black Black Black Gray Black Black Black\nBlack Pink Green Green Black Black Gray Blue Black Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Yellow\nGray Black Black Black Black Yellow Orange Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nOrange Black Gray Black Black Black Black Black Gray Black\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Yellow\nGray Black Black Gray Gray Black Black Black Black Black\nBlack Black Orange Black Black Black Black Gray Black Black\nBlack Gray Black Black Black Black Gray Black Black Black\nBlack Orange Gray Gray Black Black Gray Yellow Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Brown Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Brown Black Black\nBlack Black Black Black Brown Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Gray Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Gray Black Black\nBlack Black Black Black Gray Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\n\nOutput:\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Black Black\nBlack Green Green Green Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black\nGray Green Green Green Black Black Black Black Brown\n\nOutput:\nGray 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 Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Black Black\nBlack Green Green Green Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black\nBrown Green Green Green Black Black Black Black Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange\nRed Red Black Black Orange Orange Orange Orange\nRed Red Black Black Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange\nBrown Black Black Black Black Black Black Green\n\nOutput:\nBrown Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange\nRed Red Black Black Orange Orange Orange Orange\nRed Red Black Black Orange Orange Orange Orange\nBlack Black Black Black Orange Orange Orange Orange\nGreen Black Black Black Black Black Black Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Pink Pink Pink\nBlack Black Yellow Yellow Black Pink Pink Pink\nBlack Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange\nPurple Purple Purple Black Orange Orange Orange Orange\nPurple Purple Purple Black Orange Orange Orange Orange\nGreen Purple Purple Black Orange Orange Orange Gray\n\nOutput:\nGreen Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Pink Pink Pink\nBlack Black Yellow Yellow Black Pink Pink Pink\nBlack Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange\nPurple Purple Purple Black Orange Orange Orange Orange\nPurple Purple Purple Black Orange Orange Orange Orange\nGray Purple Purple Black Orange Orange Orange Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Yellow Yellow Black Black\nBlue Blue Blue Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple\nBlack Black Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Red Red\nBlack Black Pink Pink Pink Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black 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```\nGreen Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Yellow Yellow Black Black\nBlue Blue Blue Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple\nBlack Black Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Red Red\nBlack Black Pink Pink Pink Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black 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 Pink Brown Black Black Black Black\nBlack Black Black Orange Orange Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Gray Gray Pink Pink Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Pink Pink Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Black Brown 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown 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\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown 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\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink 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\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\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 Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\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 Orange Red Red Pink Red Black Black Black\nBlack Black Black Orange Red Pink Pink Blue Black Black Black\nBlack Black Black Red Orange Pink Blue Blue Black Black Black\nBlack Black Black Red Pink Green Purple Blue Black Black Black\nBlack Black Black Pink Pink Green Purple Purple Black Black Black\nBlack Black Black Brown Yellow Yellow Blue 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 Black Black Black Black Black Black Black Black Black 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 Orange Orange Red Red Red Red Pink Pink Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Red Red Red Red Pink Pink Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Red Red Pink Pink Pink Pink Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Red Red Pink Pink Pink Pink Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Orange Orange Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Orange Orange Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Pink Pink Green Green Purple Purple Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Pink Pink Green Green Purple Purple Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Green Green Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Green Green Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Yellow Yellow Yellow Yellow Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Black Black Black Brown Black Pink Brown\nBlack Orange Black Brown Orange Blue Purple Purple\nOrange Green Purple Green Purple Brown Brown Black\nOrange Yellow Black Orange Black Pink Brown Black\nPurple Black Black Black Black Black Pink Black\nBlack Black Black Red Black Black Red Red\nRed Purple Pink Orange Blue Gray Blue Yellow\nBlue Black Black Purple Black Blue Red Red\nGreen Pink Black Black Orange Black Brown Purple\nOrange Yellow Red Pink Yellow Black Red Black\nBlack Purple Black Black Black Red Orange Black\nRed Orange Yellow Purple Blue Yellow Gray Black\nPurple Purple Blue Blue Black Yellow Orange Yellow\nGreen Gray Black Black Black Red Black Green\nBlack Pink Pink Pink Yellow Yellow Purple Blue\nPurple Yellow Purple Green Blue Purple Black Black\nBlack Orange Orange Blue Black Gray Black Red\nBlack Purple Red Brown Yellow Orange Orange Black\n\nOutput:\nPink Black Orange Orange Purple Black Red Blue\nBlack Orange Green Yellow Black Black Purple Black\nBlack Black Purple Black Black Black Pink Black\nBlack Brown Green Orange Black Red Orange Purple\nBrown Orange Purple Black Black Black Blue Black\nBlack Blue Brown Pink Black Black Gray Blue\nPink Purple Brown Brown Pink Red Blue Red\nBrown Purple Black Black Black Red Yellow Red\nGreen Pink Black Black Orange Black Brown Purple\nOrange Yellow Red Pink Yellow Black Red Black\nBlack Purple Black Black Black Red Orange Black\nRed Orange Yellow Purple Blue Yellow Gray Black\nPurple Purple Blue Blue Black Yellow Orange Yellow\nGreen Gray Black Black Black Red Black Green\nBlack Pink Pink Pink Yellow Yellow Purple Blue\nPurple Yellow Purple Green Blue Purple Black Black\nBlack Orange Orange Blue Black Gray Black Red\nBlack Purple Red Brown Yellow Orange Orange Black\n\n\nExample 2\nInput:\nBlack Black Red Black Red Brown Blue Brown Brown Purple\nPink Orange Black Green Black Black Orange Blue Purple Blue\nPink Black Purple Pink Black Gray Pink Black Black Black\nYellow Gray Black Black Orange Purple Black Red Gray Black\nOrange Black Brown Blue Pink Pink Black Purple Blue Black\nBlack Black Green Pink Green Orange Purple Orange Green Blue\nPink Purple Gray Purple Black Black Black Purple Brown Blue\n\nOutput:\nBlack Pink Pink Yellow Orange Black Pink Brown Brown Purple\nBlack Orange Black Gray Black Black Purple Blue Purple Blue\nRed Black Purple Black Brown Green Gray Black Black Black\nBlack Green Pink Black Blue Pink Purple Red Gray Black\nRed Black Black Orange Pink Green Black Purple Blue Black\nBrown Black Gray Purple Pink Orange Black Orange Green Blue\nBlue Orange Pink Black Black Purple Black Purple Brown Blue\n\n\nExample 3\nInput:\nYellow Black Black Green Black Black Gray Blue Yellow Green Purple\nBrown Gray Pink Orange Gray Black Purple Black Yellow Black Blue\nGreen Blue Purple Black Orange Brown Blue Yellow Black Black Orange\nBlack Brown Black Blue Gray Black Black Gray Brown Pink Black\nGreen Green Green Purple Pink Yellow Black Brown Yellow Green Yellow\nPurple Blue Gray Brown Yellow Gray Black Black Black Purple Blue\nPink Black Black Black Black Black Black Red Black Yellow Black\n\nOutput:\nYellow Brown Green Black Green Purple Pink Blue Yellow Green Purple\nBlack Gray Blue Brown Green Blue Black Black Yellow Black Blue\nBlack Pink Purple Black Green Gray Black Yellow Black Black Orange\nGreen Orange Black Blue Purple Brown Black Gray Brown Pink Black\nBlack Gray Orange Gray Pink Yellow Black Brown Yellow Green Yellow\nBlack Black Brown Black Yellow Gray Black Black Black Purple Blue\nGray Purple Blue Black Black Black Black Red Black Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Brown Black Blue Pink Brown Black Orange Black\nPurple Yellow Orange Gray Pink Brown Purple Orange Green\nRed Green Black Black Purple Blue Red Brown Black\nBlack Blue Black Yellow Black Purple Yellow Blue Orange\nBlack Purple Pink Gray Orange Black Brown Yellow Orange\nBlack Yellow Gray Gray Black Black Brown Black Pink\nBlack Orange Pink Black Orange Pink Purple Blue Gray\nPurple Brown Gray Pink Green Red Gray Black Pink\nPurple Gray Green Black Black Brown Brown Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Purple Red Black Black Black Black Purple Purple\nBrown Yellow Green Blue Purple Yellow Orange Brown Gray\nBlack Orange Black Black Pink Gray Pink Gray Green\nBlue Gray Black Yellow Gray Gray Black Pink Black\nPink Pink Purple Black Orange Black Orange Green Black\nBrown Brown Blue Purple Black Black Pink Red Brown\nBlack Purple Red Yellow Brown Brown Purple Gray Brown\nOrange Orange Brown Blue Yellow Black Blue Black Blue\nBlack Green Black Orange Orange Pink Gray Pink 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 Yellow Black Black Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Red Red Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black\nRed Black Black Red Black Black Yellow Yellow Yellow Yellow\nRed Black Black Red Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlue Black Black Black Black Black Black Yellow Yellow Black\nBlue Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlue Black Black Black Black Black Orange Black Orange Black\nBlue Black Black Black Black Black Orange Orange Orange Black\nBlue Blue Blue Blue Black Black Orange Orange Orange 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 Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nOrange Black Orange Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange 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 Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black\nBlack Black Gray 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 Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Purple Black Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Pink Black Pink\nBlack Black Purple Purple Purple Purple Purple Pink Pink Pink\nBlack Black Purple Purple Black Purple Purple Pink Black Pink\nBlack Black Black Black Black Black Black Pink Black Pink\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 Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Black Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Pink Black Pink Black Black\nPurple Purple Purple Purple Purple Pink Pink Pink Black Black\nPurple Purple Black Purple Purple Pink Black Pink Black Black\nBlack Black Black Black Black Pink Black Pink Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Red Black Black\nBlack Black Black Red Red Red Black Black\nBlack Black Blue Red Red Red Black Black\nBlack Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Green Black Black Black\nBlack Black Black Red Red Red Red\nBlack Black Black Black Green Black Black\nBlack Black Black Black Green Black Black\nBlack Black Black Green Green Green Green\nBlack Black Black Green Green Green Green\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black\nBlack Green Green Black Black Black Black Black\nBlack Green Green Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Red\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 Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Blue Black Red Black Blue\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black\nBlue Black Red Black Blue Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Red 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 Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black\nBlue Black Black Blue Black Red Black\nBlack 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\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 Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Red Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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:\nGreen Brown Orange Pink Gray Purple Brown Pink\nBlue Orange Gray Orange Brown Orange Orange Green\nOrange Red Purple Yellow Orange Purple Gray Pink\nGreen Green Green Purple Blue Orange Green Orange\nYellow Orange Brown Purple Brown Gray Yellow Purple\nPurple Pink Pink Gray Purple Orange Green Yellow\nGray Yellow Yellow Purple Purple Blue Brown Gray\nBlue Purple Brown Purple Green Blue Pink Yellow\n\nOutput:\nBlue Purple Brown Purple Green Blue Pink Yellow\nGreen Brown Orange Pink Gray Purple Brown Pink\nBlue Purple Brown Purple Green Blue Pink Yellow\nGreen Brown Orange Pink Gray Purple Brown Pink\nBlue Purple Brown Purple Green Blue Pink Yellow\nGreen Brown Orange Pink Gray Purple Brown Pink\nBlue Purple Brown Purple Green Blue Pink Yellow\nGreen Brown Orange Pink Gray Purple Brown Pink\n\n\nExample 2\nInput:\nGray Blue Pink Green Red Blue Yellow\nGray Brown Purple Blue Brown Orange Red\nOrange Pink Brown Purple Purple Brown Brown\nYellow Green Green Pink Brown Orange Blue\nPink Purple Purple Blue Yellow Orange Yellow\nPurple Blue Pink Red Green Blue Orange\nPurple Yellow Gray Pink Gray Purple Red\n\nOutput:\nPurple Yellow Gray Pink Gray Purple Red\nGray Blue Pink Green Red Blue Yellow\nPurple Yellow Gray Pink Gray Purple Red\nGray Blue Pink Green Red Blue Yellow\nPurple Yellow Gray Pink Gray Purple Red\nGray Blue Pink Green Red Blue Yellow\nPurple Yellow Gray Pink Gray Purple Red\n\n\nExample 3\nInput:\nPink Purple Orange Blue Green Red Yellow Yellow Brown\nPurple Green Orange Yellow Purple Blue Pink Gray Orange\nPink Yellow Red Gray Orange Green Brown Blue Blue\nPink Brown Yellow Brown Purple Pink Gray Orange Purple\nPurple Orange Purple Blue Blue Gray Green Gray Blue\nYellow Blue Green Yellow Green Blue Green Brown Red\nBlue Purple Pink Brown Brown Yellow Orange Blue Yellow\n\nOutput:\nBlue Purple Pink Brown Brown Yellow Orange Blue Yellow\nPink Purple Orange Blue Green Red Yellow Yellow Brown\nBlue Purple Pink Brown Brown Yellow Orange Blue Yellow\nPink Purple Orange Blue Green Red Yellow Yellow Brown\nBlue Purple Pink Brown Brown Yellow Orange Blue Yellow\nPink Purple Orange Blue Green Red Yellow Yellow Brown\nBlue Purple Pink Brown Brown Yellow Orange Blue Yellow\n\n\nHere is the input grid for the test example:\nInput:\nPink Blue Brown Gray Brown Pink Green Gray Pink\nPink Pink Orange Brown Brown Pink Gray Pink Gray\nGray Pink Orange Orange Blue Yellow Brown Purple Pink\nOrange Blue Orange Purple Red Brown Pink Red Blue\nGreen Green Pink Red Orange Gray Green Purple Yellow\nPurple Red Green Blue Yellow Purple Purple Orange Brown\nYellow Blue Pink Blue Yellow Brown Orange Brown Purple\nBlue Orange Yellow Red Blue Purple Red Gray Gray\nYellow Red Pink Green Purple Green Orange Purple 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```\nYellow Red Pink Green Purple Green Orange Purple Gray\nPink Blue Brown Gray Brown Pink Green Gray Pink\nYellow Red Pink Green Purple Green Orange Purple Gray\nPink Blue Brown Gray Brown Pink Green Gray Pink\nYellow Red Pink Green Purple Green Orange Purple Gray\nPink Blue Brown Gray Brown Pink Green Gray Pink\nYellow Red Pink Green Purple Green Orange Purple Gray\nPink Blue Brown Gray Brown Pink Green Gray Pink\nYellow Red Pink Green Purple Green Orange Purple 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\nBlack Black 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 Black Black Black Black Red Red Black Black Black\nBlack Black Red Red Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Red Red Black Black Black\nBlack Black Red Red Black Black Black Black Red Black Black Black\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 Red Red\nBlack Red Red\nRed Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Red Black Black\nBlack Black Black Black Black Red Red Red Black Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red\nBlack Red Black\nRed Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red\nRed Red Red\nRed Red Red\nRed Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Red Red Black Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black\nRed Black Red Black Black Red Black Red Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red\nRed Red Black Black\nRed Red Red Red\nRed Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Yellow\n\nOutput:\nYellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black\nBlack Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black\nBlack Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow\nYellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black\nBlack Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black\nBlack Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow\nYellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black\nBlack Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black\nBlack Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow\nYellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black\nBlack Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black\nBlack Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow\nYellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black\nBlack Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black\nBlack Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow\nYellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black\nBlack Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black\nBlack Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow\nYellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black\nBlack Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black\nBlack Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow\n\n\nExample 2\nInput:\nGreen Black Black Black Black Black Black\nBlack Green Black Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Black Black Green Black Black Black\nBlack Black Black Black Green Black Black\nBlack Black Black Black Black Green Black\nBlack Black Black Black Black Black Green\n\nOutput:\nGreen Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black\nBlack Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black\nBlack Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green\nGreen Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black\nBlack Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black\nBlack Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green\nGreen Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black\nBlack Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black\nBlack Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green\nGreen Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black\nBlack Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black\nBlack Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green\nGreen Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black\nBlack Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black\nBlack Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green\nGreen Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black\nBlack Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black\nBlack Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green\nGreen Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black\nBlack Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black\nBlack Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green Black Black Green\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black\nBlack Black Gray Black Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Black Gray Black Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Black Gray\n\nOutput:\nGray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black\nBlack Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black\nBlack Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray\nGray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black\nBlack Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black\nBlack Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray\nGray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black\nBlack Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black\nBlack Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray\nGray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black\nBlack Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black\nBlack Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray\nGray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black\nBlack Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black\nBlack Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray\nGray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black\nBlack Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black\nBlack Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray\nGray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black\nBlack Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black\nBlack Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Black Black Purple Black Black\nBlack Black Black Black Black Purple Black\nBlack Black Black Black Black Black 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 Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black\nBlack Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black\nBlack Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple\nPurple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black\nBlack Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black\nBlack Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple\nPurple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black\nBlack Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black\nBlack Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple\nPurple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black\nBlack Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black\nBlack Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple\nPurple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black\nBlack Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black\nBlack Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple\nPurple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black\nBlack Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black\nBlack Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple\nPurple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black\nBlack Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black\nBlack Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black Purple Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange 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\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nPink 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\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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black 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```\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown\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\nBlack Black Red Red Red Red Pink Pink Black Black Brown Brown Black\nBlack Black Red Red Red Red Pink Pink Black Black Brown Brown Black\nBlack Black Red Red Red Red Blue Blue Blue Green Green Black Black\nBlack Black Red Red Red Red Blue Blue Blue Green Green Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Red Red Red Red Blue Blue Blue Blue Blue Black Black Black\nBlack Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Black\nBlack Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Black\nBlack Red Red Red Red Blue Blue Blue Blue Blue Black Black Black\nBlack Black Green Green Green Blue Blue Blue Blue Blue Black Black Black\nBlack Black Green Green Green Green Green Green Green Pink Pink Black Black\nBlack Black Green Green Green Green Green Green Green Pink Pink Black Black\nBlack Black Red Red Red Green Green Green Green Blue Blue Blue Black\nBlack Black Red Red Red Green Green Green Green Blue Blue Blue Black\nBlack Black Red Red Red Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Red Red Red Red Pink Pink Yellow Yellow Brown Brown Yellow\nYellow Yellow Red Red Red Red Pink Pink Yellow Yellow Brown Brown Yellow\nYellow Yellow Red Red Red Red Blue Blue Blue Green Green Yellow Yellow\nYellow Yellow Red Red Red Red Blue Blue Blue Green Green Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow\nYellow Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Green Green Green Blue Blue Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Green Green Green Green Green Green Green Pink Pink Yellow Yellow\nYellow Yellow Green Green Green Green Green Green Green Pink Pink Yellow Yellow\nYellow Yellow Red Red Red Green Green Green Green Blue Blue Blue Yellow\nYellow Yellow Red Red Red Green Green Green Green Blue Blue Blue Yellow\nYellow Yellow Red Red Red Yellow Yellow Yellow Yellow Blue Blue Blue Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Gray Gray Gray Black\nBlack Brown Brown Blue Blue Blue Blue Blue Gray Gray Gray Black\nBlack Orange Orange Blue Blue Blue Blue Blue Gray Gray Gray Black\nBlack Orange Orange Blue Blue Blue Blue Blue Black Black Black Black\nBlack Green Green Blue Blue Blue Blue Blue Black Gray Gray Black\nBlack Green Green Blue Blue Blue Blue Blue Black Gray Gray Black\nBlack Black Black Purple Purple Red Red Red Red Red Red Black\nBlack Yellow Yellow Purple Purple Red Red Red Red Red Red Black\nBlack Yellow Yellow Black Black Red Red Red Red Red Red Black\nBlack Brown Brown Blue Blue Blue Blue Black Black Black Black Black\nBlack Brown Brown Blue Blue Blue Blue Pink Pink Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Pink Pink Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Brown Brown Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow\nYellow Brown Brown Blue Blue Blue Blue Blue Gray Gray Gray Yellow\nYellow Orange Orange Blue Blue Blue Blue Blue Gray Gray Gray Yellow\nYellow Orange Orange Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nYellow Green Green Blue Blue Blue Blue Blue Yellow Gray Gray Yellow\nYellow Green Green Blue Blue Blue Blue Blue Yellow Gray Gray Yellow\nYellow Yellow Yellow Purple Purple Red Red Red Red Red Red Yellow\nYellow Yellow Yellow Purple Purple Red Red Red Red Red Red Yellow\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Yellow\nYellow Brown Brown Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nYellow Brown Brown Blue Blue Blue Blue Pink Pink Blue Blue Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Pink Pink Blue Blue Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nYellow 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\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Blue Blue Red Red Red Red Red Red Black\nBlack Black Black Blue Blue Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Brown Brown Red Red Red Black\nBlack Green Green Black Black Black Brown Brown Black Black Black Black\nBlack Green Green Black Green Green Green Green Black Black Black Black\nBlack Orange Orange Black Green Green Green Green Black Black Black Black\nBlack Orange Orange Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Orange Orange Orange Black\nBlack Yellow Yellow Yellow Yellow Red Red Red Pink Pink Pink Black\nBlack Yellow Yellow Yellow Yellow Red Red Red Pink Pink Pink Black\nBlack Yellow Yellow Yellow Yellow Red Red Red Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Red Red Red Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Red Red Red Red Red Red Yellow\nYellow Yellow Yellow Blue Blue Red Red Red Red Red Red Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Red Red Red Yellow\nYellow Green Green Yellow Yellow Yellow Brown Brown Yellow Yellow Yellow Yellow\nYellow Green Green Yellow Green Green Green Green Yellow Yellow Yellow Yellow\nYellow Orange Orange Yellow Green Green Green Green Yellow Yellow Yellow Yellow\nYellow Orange Orange Yellow Green Green Green Green Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Green Green Green Green Orange Orange Orange Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Yellow\nYellow Yellow Yellow Yellow Yellow Red Red Red Pink Pink Pink Yellow\nYellow Yellow Yellow Yellow Yellow Red Red Red Pink Pink Pink Yellow\nYellow Yellow Yellow Yellow Yellow Red Red Red Pink Pink Pink Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Gray Gray Black Black Black Black Orange Orange Orange Blue Blue Blue Black\nBlack Gray Gray Black Black Black Black Orange Orange Orange Blue Blue Blue Black\nBlack Gray Gray Black Green Green Green Green Green Black Blue Blue Blue Black\nBlack Gray Gray Black Green Green Green Green Green Black Green Green Black Black\nBlack Black Black Black Green Green Green Green Green Black Green Green Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Orange Orange Green Green Green Green Green Black Black Blue Blue Black\nBlack Black Orange Orange Black Black Black Red Red Red Red Blue Blue Black\nBlack Black Gray Gray Gray Black Black Red Red Red Red Black Black Black\nBlack Black Gray Gray Gray Black Black Red Red Red Red Red Red Black\nBlack Black Gray Gray Gray Black Black Red Red Red Red Red Red 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```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Yellow\nYellow Gray Gray Yellow Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow\nYellow Gray Gray Yellow Yellow Yellow Yellow Orange Orange Orange Blue Blue Blue Yellow\nYellow Gray Gray Yellow Green Green Green Green Green Yellow Blue Blue Blue Yellow\nYellow Gray Gray Yellow Green Green Green Green Green Yellow Green Green Yellow Yellow\nYellow Yellow Yellow Yellow Green Green Green Green Green Yellow Green Green Yellow Yellow\nYellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Orange Orange Green Green Green Green Green Yellow Yellow Blue Blue Yellow\nYellow Yellow Orange Orange Yellow Yellow Yellow Red Red Red Red Blue Blue Yellow\nYellow Yellow Gray Gray Gray Yellow Yellow Red Red Red Red Yellow Yellow Yellow\nYellow Yellow Gray Gray Gray Yellow Yellow Red Red Red Red Red Red Yellow\nYellow Yellow Gray Gray Gray Yellow Yellow Red Red Red Red Red Red Yellow\nYellow 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Green Green Green Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Green Green Green Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Green Green Green Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Gray Gray Gray Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Gray Gray Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Brown Brown Brown Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Brown Brown Brown Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Brown Brown Brown Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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\nBlack Red Black Black Black\nBlack Red Black Red Black\nBlack Black Black Red Black\nBlack Black Black Black Red\n\nOutput:\nYellow\n\n\nExample 2\nInput:\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Black Red Red\nBlack Red Black Red Black\n\nOutput:\nGreen\n\n\nExample 3\nInput:\nRed Black Black Black Red\nRed Red Red Red Red\nRed Red Red Red Red\nRed Black Black Black Red\nRed Red Black Red Red\n\nOutput:\nGreen\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Black Red Red\nBlack Red Black Red Black\nRed Red Black Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Brown Black Brown Black Brown Black Brown Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Brown Black Brown Black Brown Black Brown Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Brown Black Brown Black Brown Black Brown Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Brown Black Brown Black Brown Black Brown Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Brown Black Brown Black Brown Black Brown Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Gray Black Gray Black Gray Black Gray Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Black\nBlack 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 Black Black Black Black Black Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Black Black Black Red\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nGray Black Black Black Blue\n\nOutput:\nGreen Black Black Black Red\nBlack Green Black Red Black\nBlack Black Red Black Black\nBlack Gray Black Blue Black\nGray Black Black Black Blue\n\n\nExample 2\nInput:\nPurple Black Black Black Blue\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nGray Black Black Black Red\n\nOutput:\nPurple Black Black Black Blue\nBlack Purple Black Blue Black\nBlack Black Blue Black Black\nBlack Gray Black Red Black\nGray Black Black Black Red\n\n\nExample 3\nInput:\nBrown Black Black Black Purple\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nPink Black Black Black Red\n\nOutput:\nBrown Black Black Black Purple\nBlack Brown Black Purple Black\nBlack Black Purple Black Black\nBlack Pink Black Red Black\nPink Black Black Black Red\n\n\nHere is the input grid for the test example:\nInput:\nBlue Black Black Black Red\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nYellow Black Black Black Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Black Black Red\nBlack Blue Black Red Black\nBlack Black Red Black Black\nBlack Yellow Black Green Black\nYellow Black Black 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\nBlack Black Black Black Black\nBlack Red Green Red Black\nBlack Green Red Green Black\nBlack Red Green Red Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Green Red Green Black\nBlack Red Green Red Black\nBlack Green Red Green Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Red Green Red Black\nBlack Black Green Red Green Black\nBlack Black Red Green Red Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Green Red Green Black\nBlack Black Red Green Red Black\nBlack Black Green Red Green Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Red Green Red Black\nBlack Black Green Red Green Black\nBlack Black Red Green Red Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Green Red Green Black\nBlack Black Red Green Red Black\nBlack Black Green Red Green 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 Red Green Red\nBlack Green Red Green\nBlack Red Green Red\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 Green Red Green\nBlack Red Green Red\nBlack Green Red Green\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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow 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\n\nOutput:\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Green Green Green Green Black Black\nBlack Black Green Black Black Green Black Black\nBlack Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Green Green Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Black Black Black Black Green Green Green Green Black Black Black Black Green Green\nGreen Green Black Black Black Black Green Green Green Green Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Green Green Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Green Green Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Black Black Black Black Green Green Green Green Black Black Black Black Green Green\nGreen Green Black Black Black Black Green Green Green Green Black Black Black Black Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Green Green Black Green Black Black\nBlack Black Green Black Black Green Black Black\nBlack Black Green Black Black Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nGreen Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nGreen Green Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Green Green Green Green Black Black Black Black\nGreen Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nGreen Green Black Green Black Black Black Black Green Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Green 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\nBlack Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Black Black\nBlack Black Gray Black Black Gray 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 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 Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Yellow Black Pink Black Black Black\nBlack Black Pink Pink Pink Pink Black Yellow Black Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Black Black Black Pink Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Pink Black Black Black\nBlack Black Pink Black Black Pink Black Black Black Pink Pink 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 Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black\nBlack Green Green Green Black Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Yellow Black Pink Black Black Black\nBlack Black Pink Pink Pink Pink Black Yellow Black Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Black Black Black Pink Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Pink Black Black Black\nBlack Black Pink Black Black Pink Black Black Black Pink Pink 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 Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Red Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Red Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Red Black Black Black\nBlack Green Green Green Green Green Black Black Red Black Black Black\nBlack Black Green Green Green Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Purple Purple Purple Black\nBlack Red Red Red Red Red Red Black Purple Purple Purple Black\nBlack Black Black Black Red Red Red Black Black Purple Purple Black\nBlack Black Black Black Red Red Red Black Purple Purple Purple Black\nBlack Black Black Black Red Red Red Black Purple Purple Purple 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 Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Green Green Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Green Green Black Purple Purple Purple Black\nBlack Green Green Green Green Green Green Black Purple Purple Purple Black\nBlack Black Black Black Green Green Green Black Black Purple Purple Black\nBlack Black Black Black Green Green Green Black Purple Purple Purple Black\nBlack Black Black Black Green Green Green Black Purple Purple Purple 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 Gray Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nPurple Pink Pink Gray Purple Orange Green Yellow\nYellow Black Orange Black Brown Black Purple Black\nBrown Gray Yellow Purple Green Green Green Purple\nBlue Black Orange Black Green Black Orange Black\nOrange Red Purple Yellow Orange Purple Gray Pink\nBlue Black Orange Black Gray Black Orange Black\nBrown Orange Orange Green Green Brown Orange Pink\nGray Purple Purple Blue Brown Brown Pink Gray\n\nOutput:\nGray Purple Purple Blue Brown Brown Pink Gray\nGray Black Purple Black Brown Black Pink Black\nGray Purple Purple Blue Brown Brown Pink Gray\nGray Black Purple Black Brown Black Pink Black\nGray Purple Purple Blue Brown Brown Pink Gray\nGray Black Purple Black Brown Black Pink Black\nGray Purple Purple Blue Brown Brown Pink Gray\nGray Purple Purple Blue Brown Brown Pink Gray\n\n\nExample 2\nInput:\nBlack Purple Black Blue Black Yellow Black\nOrange Yellow Yellow Green Green Pink Brown\nBlack Orange Black Blue Black Orange Black\nPink Brown Purple Purple Brown Brown Gray\nBlack Brown Black Purple Black Blue Black\nBrown Orange Red Gray Blue Pink Green\nBlue Red Orange Blue Pink Yellow Purple\n\nOutput:\nBlack Red Black Blue Black Yellow Black\nBlue Red Orange Blue Pink Yellow Purple\nBlack Red Black Blue Black Yellow Black\nBlue Red Orange Blue Pink Yellow Purple\nBlack Red Black Blue Black Yellow Black\nBlue Red Orange Blue Pink Yellow Purple\nBlue Red Orange Blue Pink Yellow Purple\n\n\nExample 3\nInput:\nBlack Purple Black Blue Black Blue Black Gray Black\nGreen Gray Blue Pink Brown Yellow Brown Purple Pink\nBlack Gray Black Orange Black Purple Black Pink Black\nYellow Red Gray Orange Green Brown Blue Blue Purple\nBlack Green Black Orange Black Yellow Black Purple Black\nBlue Pink Gray Orange Pink Purple Orange Blue Green\nGreen Red Brown Yellow Red Yellow Purple Brown Orange\n\nOutput:\nBlack Red Black Yellow Black Yellow Black Brown Black\nGreen Red Brown Yellow Red Yellow Purple Brown Orange\nBlack Red Black Yellow Black Yellow Black Brown Black\nGreen Red Brown Yellow Red Yellow Purple Brown Orange\nBlack Red Black Yellow Black Yellow Black Brown Black\nGreen Red Brown Yellow Red Yellow Purple Brown Orange\nGreen Red Brown Yellow Red Yellow Purple Brown Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Black Purple Black Purple Black Red Black\nGreen Blue Yellow Purple Purple Orange Brown Green Green\nBlack Pink Black Red Black Orange Black Gray Black\nGreen Purple Yellow Orange Blue Orange Purple Red Brown\nBlack Pink Black Red Black Blue Black Gray Black\nPink Orange Orange Blue Yellow Brown Purple Pink Pink\nBlack Pink Black Orange Black Brown Black Brown Black\nPink Gray Pink Gray Pink Blue Brown Gray Brown\nPink Pink Blue Green Yellow Gray Brown Pink Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Black Green Black Gray Black Pink Black\nPink Pink Blue Green Yellow Gray Brown Pink Orange\nBlack Pink Black Green Black Gray Black Pink Black\nPink Pink Blue Green Yellow Gray Brown Pink Orange\nBlack Pink Black Green Black Gray Black Pink Black\nPink Pink Blue Green Yellow Gray Brown Pink Orange\nBlack Pink Black Green Black Gray Black Pink Black\nPink Pink Blue Green Yellow Gray Brown Pink Orange\nPink Pink Blue Green Yellow Gray Brown Pink Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Orange Yellow Yellow Green Orange Purple Black\nBlack Purple Yellow Gray Brown Purple Brown Black\nBlack Orange Blue Purple Green Green Green Black\nBlack Yellow Purple Red Orange Orange Green Black\nBlack Orange Blue Pink Gray Purple Orange Black\nBlack Green Orange Orange Brown Orange Gray Black\nBlack Purple Gray Pink Orange Brown Green Black\nBlack Purple Orange Pink Yellow Pink Brown Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nOrange Yellow Yellow Green Orange Purple Purple Orange Green Yellow Yellow Orange\nPurple Yellow Gray Brown Purple Brown Brown Purple Brown Gray Yellow Purple\nOrange Blue Purple Green Green Green Green Green Green Purple Blue Orange\nYellow Purple Red Orange Orange Green Green Orange Orange Red Purple Yellow\nOrange Blue Pink Gray Purple Orange Orange Purple Gray Pink Blue Orange\nGreen Orange Orange Brown Orange Gray Gray Orange Brown Orange Orange Green\nPurple Gray Pink Orange Brown Green Green Brown Orange Pink Gray Purple\nPurple Orange Pink Yellow Pink Brown Brown Pink Yellow Pink Orange Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Purple Purple Pink Orange Blue Green Red Black\nBlack Brown Pink Green Green Yellow Yellow Orange Yellow Black\nBlack Brown Purple Purple Brown Pink Orange Blue Orange Black\nBlack Red Orange Brown Blue Purple Brown Gray Brown Black\nBlack Orange Yellow Blue Red Green Pink Blue Gray Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Purple Purple Pink Orange Blue Green Red Red Green Blue Orange Pink Purple Purple Blue\nBrown Pink Green Green Yellow Yellow Orange Yellow Yellow Orange Yellow Yellow Green Green Pink Brown\nBrown Purple Purple Brown Pink Orange Blue Orange Orange Blue Orange Pink Brown Purple Purple Brown\nRed Orange Brown Blue Purple Brown Gray Brown Brown Gray Brown Purple Blue Brown Orange Red\nOrange Yellow Blue Red Green Pink Blue Gray Gray Blue Pink Green Red Blue Yellow Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Pink Blue Gray Green Gray Blue Blue Purple Orange Black\nBlack Pink Purple Orange Gray Pink Purple Brown Yellow Brown Black\nBlack Purple Blue Blue Brown Green Orange Gray Red Yellow Black\nBlack Pink Orange Gray Pink Blue Purple Yellow Orange Green Black\nBlack Gray Brown Yellow Yellow Red Green Blue Orange Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Blue Gray Green Gray Blue Blue Purple Orange Orange Purple Blue Blue Gray Green Gray Blue Pink\nPink Purple Orange Gray Pink Purple Brown Yellow Brown Brown Yellow Brown Purple Pink Gray Orange Purple Pink\nPurple Blue Blue Brown Green Orange Gray Red Yellow Yellow Red Gray Orange Green Brown Blue Blue Purple\nPink Orange Gray Pink Blue Purple Yellow Orange Green Green Orange Yellow Purple Blue Pink Gray Orange Pink\nGray Brown Yellow Yellow Red Green Blue Orange Purple Purple Orange Blue Green Red Yellow Yellow Brown Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Green Green Brown Orange Purple Purple Black\nBlack Orange Yellow Purple Green Gray Orange Red Black\nBlack Red Pink Brown Red Purple Orange Blue Black\nBlack Yellow Blue Orange Orange Pink Gray Blue Black\nBlack Brown Orange Pink Pink Pink Purple Brown Black\nBlack Blue Pink Gray Pink Gray Pink Brown Black\nBlack Pink Gray Green Pink Brown Gray Brown 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 Green Green Brown Orange Purple Purple Purple Purple Orange Brown Green Green Pink\nOrange Yellow Purple Green Gray Orange Red Red Orange Gray Green Purple Yellow Orange\nRed Pink Brown Red Purple Orange Blue Blue Orange Purple Red Brown Pink Red\nYellow Blue Orange Orange Pink Gray Blue Blue Gray Pink Orange Orange Blue Yellow\nBrown Orange Pink Pink Pink Purple Brown Brown Purple Pink Pink Pink Orange Brown\nBlue Pink Gray Pink Gray Pink Brown Brown Pink Gray Pink Gray Pink Blue\nPink Gray Green Pink Brown Gray Brown Brown Gray Brown Pink Green Gray Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlue Gray Black Black Gray Black Black Brown Black Black\nGray Gray Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Gray Gray Gray Black\nBlack Black Black Gray Gray Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Yellow Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Gray Gray Gray\nBlack Black Gray Gray Black Black Black Gray Black Gray\nBlack Black Gray Gray Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Gray Black Black Black Black Blue\nGray Gray Gray Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Brown Black Black Black Gray Gray Gray\nBlack Black Yellow Black Black Black Black Black Black Gray\nBlack Black Black Black Gray Black Gray Gray Black Black\nBlack Black Gray Gray Gray Black Black Gray Black Black\nBlack Black Black Black Gray Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown 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\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Orange Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Yellow Black Black Black Black Black\nBlack Green Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Yellow Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black 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 Black Black Black Green Green Green Green Black 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 Black Black Black Green Green Green Green Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray 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\nBlack Black Black Gray Gray Gray Gray 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\nBlack Black Black Gray Gray Gray Gray 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\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\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 Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black 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 Black Black Black Black Black Blue Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black 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 Black Black Black Black Black Blue Blue Blue\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Blue Blue Blue Blue Blue Blue Pink Yellow\nYellow Blue Blue Blue Blue Blue Blue Blue Yellow\nYellow Blue Black Black Pink Pink Blue Blue Yellow\nYellow Black Black Black Blue Blue Blue Blue Yellow\nYellow Blue Black Black Pink Pink Blue Blue Yellow\nYellow Blue Blue Blue Blue Blue Blue Blue Yellow\nYellow Blue Blue Blue Blue Blue Blue Pink Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow\nYellow Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Pink Pink Pink Gray Gray Gray Brown\nBrown Gray Pink Pink Pink Black Gray Brown\nBrown Gray Pink Pink Pink Black Gray Brown\nBrown Pink Pink Pink Gray Gray Gray Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Black Brown\nBrown Brown Brown Brown Black Brown\nBrown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray\nGray Brown Brown Brown Black Black Gray\nGray Brown Brown Brown Brown Brown Gray\nGray Black Brown Brown Brown Brown Gray\nGray Brown Brown Brown Brown Brown Gray\nGray Brown Brown Brown Black Black Gray\nGray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Black Black\nGray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red Red\nRed Orange Orange Orange Orange Orange Orange Orange Orange Red\nRed Orange Orange Orange Orange Orange Orange Orange Black Red\nRed Orange Orange Orange Black Orange Black Black Black Red\nRed Orange Orange Orange Black Orange Black Black Black Red\nRed Orange Orange Orange Black Orange Black Black Black Red\nRed Orange Orange Orange Black Orange Black Black Black Red\nRed Orange Orange Orange Orange Orange Orange Orange Black Red\nRed Orange Orange Orange Orange Orange Orange Orange Orange Red\nRed Red Red Red Red Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Black\nRed Red Red Black Red Black Black Black\nRed Red Red Black Red Black Black Black\nRed Red Red Black Red Black Black Black\nRed Red Red Black Red Black Black Black\nRed Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Black Brown Black Purple Black Green Black Black Black\nBlack Black Black Black Black Black Green Brown Brown Brown Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green 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 Black Black 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 Purple Black Purple Black Black Black Purple\nBlack Black Black Black Black Black Black Purple Black Purple Purple Purple Purple Purple Black Black Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black\nBlack Black Black Black Black Black Green Black Green Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Red Black Red Red Black Black Black Black Pink Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed 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\nBlack Black Black Black Black Black Red Black Red Red Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange 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 Orange\nBlack Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple 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 Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Green 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 Black Black Red 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\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 Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\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 Red\nGreen Blue Blue Blue Black Black Black Black Black Gray\nGreen Black Black Black Black Black Black Purple Purple Gray\nYellow Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue\nBlue Blue Blue Blue Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Blue Blue Blue\nBlue Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Gray Black\nBlack Blue Yellow Yellow Yellow Black Black Green Green Black\nBlack Black Black Black Yellow Black Green Green Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Brown Purple Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Red Black\nBlack Red Red Red Red Black Black Red Red Black\nBlack Black Black Black Red Black Red Red Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Red Red Black Black Black Black Black Yellow\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Red Red Black Black Black Black Black Red\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Green 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\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 Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Yellow Yellow Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Green Green Blue Brown Brown Brown Brown\nBrown Brown Brown Brown Blue Blue Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Yellow Brown Brown Brown Brown\nBrown Brown Green Green Brown Blue Red Red Brown Brown\nBrown Brown Brown Brown Blue Blue Red Red Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Blue Brown Brown Brown Brown\nBrown Brown Brown Brown Blue Blue Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Red Red Brown Brown Brown\nBrown Brown Brown Yellow Yellow Red Red Brown Brown Brown\nBrown Brown Brown Brown Yellow Brown Brown Brown Brown Brown\nBrown Brown Green Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Yellow Green Green Red Red Brown Brown Brown\nBrown Brown Brown Yellow Brown Red Red Blue Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Blue Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black 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 Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\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 Red Red Red Red Orange Orange Orange Orange Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Red Red Red Red Orange Orange Orange Orange Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nPurple Purple Purple Purple Black Black Pink Pink Gray Gray Gray Gray Gray Gray Black Black Green Green Orange Orange\nPurple Purple Purple Purple Black Black Pink Pink Gray Gray Gray Gray Gray Gray Black Black Green Green Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Green Green Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Green Green Orange Orange\nBlack Black Black Black Black Black Pink Pink Gray Gray Gray Gray Gray Gray Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Pink Pink Gray Gray Gray Gray Gray Gray Black Black Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black 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 Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\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 Red Red Red Red Orange Orange Orange Orange Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Red Red Red Red Orange Orange Orange Orange Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Black Black Pink Pink Gray Gray Gray Gray Gray Gray Black Black Green Green Orange Orange\nYellow Yellow Yellow Yellow Black Black Pink Pink Gray Gray Gray Gray Gray Gray Black Black Green Green Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Green Green Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Black Black Green Green Orange Orange\nBlack Black Black Black Black Black Pink Pink Gray Gray Gray Gray Gray Gray Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Pink Pink Gray Gray Gray Gray Gray Gray Black Black Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Purple Purple Green Green Green Green Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Purple Purple Green Green Green Green Black Black\nBlack Black Gray Gray Orange Orange Black Black Black Black Black Black Purple Purple Green Green Green Green Black Black\nBlack Black Gray Gray Orange Orange Black Black Black Black Black Black Purple Purple Green Green Green Green Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\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 Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Green Green Purple Purple Purple Purple Green Green Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Green Green Purple Purple Purple Purple Green Green 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\n\nOutput:\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Purple Purple Green Green Green Green Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Purple Purple Green Green Green Green Black Black\nBlack Black Gray Gray Orange Orange Black Black Black Black Black Black Purple Purple Green Green Green Green Black Black\nBlack Black Gray Gray Orange Orange Black Black Black Black Black Black Purple Purple Green Green Green Green Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\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 Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Green Green Purple Purple Purple Purple Green Green Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Green Green Purple Purple Purple Purple Green Green 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Yellow Yellow 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 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 Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Yellow Yellow 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 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 Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Brown Brown Gray Gray Brown Brown Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Brown Brown Gray Gray Brown Brown Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Gray Gray Gray Gray Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Gray Gray Gray Gray Red Red Black Black Brown Brown Black Black Brown Brown\nBlack Black Black Black Red Red Gray Gray Gray Gray Red Red Black Black Brown Brown Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Green Green Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Brown Brown Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Brown 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```\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Brown Brown Gray Gray Brown Brown Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Brown Brown Gray Gray Brown Brown Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Gray Gray Gray Gray Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Gray Gray Gray Gray Red Red Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Red Red Gray Gray Gray Gray Red Red Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Brown Brown Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Brown Brown Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 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 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 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 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 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 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 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Purple Purple Purple Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple\nBlue Blue Blue Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Orange Orange Orange Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Orange Orange Orange Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Orange Orange Orange Purple Purple Purple Purple Purple Purple\nPink Pink Pink Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Red Red Red Purple Purple Purple Purple Purple Purple\nPink Pink Pink Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Red Red Red Purple Purple Purple Purple Purple Purple\nPink Pink Pink Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Red Red Red Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Brown Brown Brown Red Red Red\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Brown Brown Brown Red Red Red\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Brown Brown Brown Red Red Red\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Brown Brown Brown\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Brown Brown Brown\nGreen Green Green Green Green Green Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Brown Brown Brown\nBrown Brown Brown Green Green Green Red Red Red Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Green Green Green Red Red Red Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Green Green Green Red Red Red Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink\nGreen Green Green Brown Brown Brown Yellow Yellow Yellow Red Red Red Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink\nGreen Green Green Brown Brown Brown Yellow Yellow Yellow Red Red Red Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink\nGreen Green Green Brown Brown Brown Yellow Yellow Yellow Red Red Red Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Purple Purple Purple\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Purple Purple Purple\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nGreen Green Green Green Green Green Black Black Black Purple Purple Purple Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nGreen Green Green Green Green Green Black Black Black Purple Purple Purple Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nGreen Green Green Green Green Green Black Black Black Purple Purple Purple Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black Black Black Pink Pink Pink\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Gray Gray Gray Purple Purple Purple Green Green Green Gray Gray Gray Blue Blue Blue\nBlack Black Black Purple Purple Purple Gray Gray Gray Purple Purple Purple Green Green Green Gray Gray Gray Blue Blue Blue\nBlack Black Black Purple Purple Purple Gray Gray Gray Purple Purple Purple Green Green Green Gray Gray Gray Blue Blue Blue\nBlack Black Black Red Red Red Purple Purple Purple Green Green Green Purple Purple Purple Blue Blue Blue Gray Gray Gray\nBlack Black Black Red Red Red Purple Purple Purple Green Green Green Purple Purple Purple Blue Blue Blue Gray Gray Gray\nBlack Black Black Red Red Red Purple Purple Purple Green Green Green Purple Purple Purple Blue Blue Blue Gray Gray Gray\nBlack Black Black Orange Orange Orange Blue Blue Blue Gray Gray Gray Red Red Red Blue Blue Blue Purple Purple Purple\nBlack Black Black Orange Orange Orange Blue Blue Blue Gray Gray Gray Red Red Red Blue Blue Blue Purple Purple Purple\nBlack Black Black Orange Orange Orange Blue Blue Blue Gray Gray Gray Red Red Red Blue Blue Blue Purple Purple Purple\nBlack Black Black Brown Brown Brown Orange Orange Orange Purple Purple Purple Gray Gray Gray Purple Purple Purple Blue Blue Blue\nBlack Black Black Brown Brown Brown Orange Orange Orange Purple Purple Purple Gray Gray Gray Purple Purple Purple Blue Blue Blue\nBlack Black Black Brown Brown Brown Orange Orange Orange Purple Purple Purple Gray Gray Gray Purple Purple Purple Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Purple Purple Purple Yellow Yellow Yellow\nBlack Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Purple Purple Purple Yellow Yellow Yellow\nBlack Black Black Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Purple Purple Purple Yellow Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Red Red Red Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red\nBlack Black Black Pink Pink Pink Yellow Yellow Yellow Red Red Red Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red\nBlack Black Black Pink Pink Pink Yellow Yellow Yellow Red Red Red Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red\nBlack Black Black Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Red Red Red Orange Orange Orange Orange Orange Orange Gray Gray Gray Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Red Red Red Orange Orange Orange Orange Orange Orange Gray Gray Gray Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Pink Pink Pink Gray Gray Gray Red Red Red Orange Orange Orange Orange Orange Orange Gray Gray Gray Orange Orange Orange\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Green Green Green Brown Brown Brown Blue Blue Blue Green Green Green\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Green Green Green Brown Brown Brown Blue Blue Blue Green Green Green\nBlack Black Black Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Green Green Green Brown Brown Brown Blue Blue Blue Green Green Green\nBlack Black Black Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Green Green Green Orange Orange Orange Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Green Green Green Orange Orange Orange Blue Blue Blue\nBlack Black Black Yellow Yellow Yellow Orange Orange Orange Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Green Green Green Orange Orange Orange Blue Blue Blue\nBlack Black Black Gray Gray Gray Red Red Red Orange Orange Orange Orange Orange Orange Green Green Green Blue Blue Blue Orange Orange Orange Blue Blue Blue\nBlack Black Black Gray Gray Gray Red Red Red Orange Orange Orange Orange Orange Orange Green Green Green Blue Blue Blue Orange Orange Orange Blue Blue Blue\nBlack Black Black Gray Gray Gray Red Red Red Orange Orange Orange Orange Orange Orange Green Green Green Blue Blue Blue Orange Orange Orange Blue Blue Blue\nBlack Black Black Red Red Red Gray Gray Gray Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Green Green Green Blue Blue Blue Orange Orange Orange\nBlack Black Black Red Red Red Gray Gray Gray Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Green Green Green Blue Blue Blue Orange Orange Orange\nBlack Black Black Red Red Red Gray Gray Gray Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Green Green Green Blue Blue Blue Orange Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Pink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple\nBlack Black Black Gray Gray Gray Pink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple\nBlack Black Black Gray Gray Gray Pink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Purple Purple Purple\nBlack Black Black Pink Pink Pink Gray Gray Gray Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Gray Gray Gray Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Gray Gray Gray Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Gray Gray Gray Brown Brown Brown Brown Brown Brown Pink Pink Pink Brown Brown Brown\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Gray Gray Gray Brown Brown Brown Brown Brown Brown Pink Pink Pink Brown Brown Brown\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Gray Gray Gray Brown Brown Brown Brown Brown Brown Pink Pink Pink Brown Brown Brown\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Green Green Green Brown Brown Brown Brown Brown Brown Gray Gray Gray Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Green Green Green Brown Brown Brown Brown Brown Brown Gray Gray Gray Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Green Green Green Brown Brown Brown Brown Brown Brown Gray Gray Gray Pink Pink Pink\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Gray Gray Gray\nBlack Black Black Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Gray Gray Gray\nBlack Black Black Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Orange Orange Orange Gray Gray Gray Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Red Red Red Gray Gray Gray Gray Gray Gray Orange Orange Orange Pink Pink Pink Gray Gray Gray Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Red Red Red Gray Gray Gray Gray Gray Gray Orange Orange Orange Pink Pink Pink Gray Gray Gray Gray Gray Gray\nBlack Black Black Yellow Yellow Yellow Red Red Red Gray Gray Gray Gray Gray Gray Orange Orange Orange Pink Pink Pink Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Gray Gray Gray Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Gray Gray Gray Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Gray Gray Gray Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Brown Black Black\nBlack Yellow Black Purple Black\nBlack Black Blue Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Brown Purple Black\nBlack Black Black Black Black\nBlack Black Blue Yellow Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Green Black Black\nBlack Orange Black Pink Black\nBlack Black Purple Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Green Pink Black\nBlack Black Black Black Black\nBlack Black Purple Orange Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Gray Black Black\nBlack Pink Black Blue Black\nBlack Black Green Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Gray Blue Black\nBlack Black Black Black Black\nBlack Black Green Pink Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Black Red Black Black\nBlack Brown Black Purple Black\nBlack Black Gray Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Black Red Purple Black\nBlack Black Black Black Black\nBlack Black Gray Brown Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Purple Blue Black Black Black Orange Purple Orange\nOrange Black Black Black Black Red Black Black Green Black\nRed Red Black Black Brown Black Black Yellow Black Black\nBlack Black Pink Black Black Black Black Orange Red Brown\nOrange Yellow Black Purple Orange Red Black Black Yellow Pink\nRed Pink Black Black Black Black Purple Black Black Black\nBlack Red Pink Black Orange Black Black Black Blue Brown\nBlack Yellow Black Blue Purple Black Black Black Orange Pink\nBlack Orange Orange Yellow Black Black Pink Purple Black Yellow\nPurple Black Black Black Black Pink Black Green Black Purple\n\nOutput:\nOrange Red Pink Blue Orange Red Purple Orange Purple Brown\nOrange Red Pink Blue Orange Red Purple Orange Purple Brown\nOrange Red Pink Blue Orange Red Purple Orange Purple Brown\nOrange Red Pink Blue Orange Red Purple Orange Purple Brown\nOrange Red Pink Blue Orange Red Purple Orange Purple Brown\nOrange Red Pink Blue Orange Red Purple Orange Purple Brown\nOrange Red Pink Blue Orange Red Purple Orange Purple Brown\nOrange Red Pink Blue Orange Red Purple Orange Purple Brown\nOrange Red Pink Blue Orange Red Purple Orange Purple Brown\nOrange Red Pink Blue Orange Red Purple Orange Purple Brown\n\n\nExample 2\nInput:\nBlack Pink Black Black Black Blue Gray Black Purple Brown\nBlack Blue Black Black Black Purple Red Black Blue Brown\nYellow Black Black Purple Black Black Purple Black Orange Black\nBlue Black Blue Black Black Pink Black Pink Black Black\nBlack Black Brown Purple Green Pink Brown Gray Black Brown\nBlack Yellow Purple Black Pink Blue Black Black Green Red\nBlack Green Black Green Green Brown Black Purple Black Black\nOrange Blue Black Black Black Red Black Blue Orange Red\nBlack Black Black Black Black Black Black Black Pink Black\nOrange Black Black Black Black Black Yellow Blue Purple Orange\n\nOutput:\nOrange Blue Blue Purple Green Pink Gray Blue Orange Brown\nOrange Blue Blue Purple Green Pink Gray Blue Orange Brown\nOrange Blue Blue Purple Green Pink Gray Blue Orange Brown\nOrange Blue Blue Purple Green Pink Gray Blue Orange Brown\nOrange Blue Blue Purple Green Pink Gray Blue Orange Brown\nOrange Blue Blue Purple Green Pink Gray Blue Orange Brown\nOrange Blue Blue Purple Green Pink Gray Blue Orange Brown\nOrange Blue Blue Purple Green Pink Gray Blue Orange Brown\nOrange Blue Blue Purple Green Pink Gray Blue Orange Brown\nOrange Blue Blue Purple Green Pink Gray Blue Orange Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Brown Black Black Yellow\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Blue Black Yellow Black Black Black Black Gray Black\nBlack Orange Pink Brown Black Brown Black Blue Orange Gray\nBlack Black Black Gray Pink Gray Black Black Black Pink\nYellow Black Pink Blue Red Black Black Black Gray Blue\nBlack Black Black Purple Purple Black Yellow Black Brown Black\nBlack Black Black Yellow Blue Gray Blue Black Black Red\nGreen Black Black Green Black Blue Brown Brown Purple Black\nOrange Black Black Yellow Black Black Orange Brown Green Black\n\nOutput:\nYellow Blue Pink Yellow Pink Gray Brown Brown Gray Yellow\nYellow Blue Pink Yellow Pink Gray Brown Brown Gray Yellow\nYellow Blue Pink Yellow Pink Gray Brown Brown Gray Yellow\nYellow Blue Pink Yellow Pink Gray Brown Brown Gray Yellow\nYellow Blue Pink Yellow Pink Gray Brown Brown Gray Yellow\nYellow Blue Pink Yellow Pink Gray Brown Brown Gray Yellow\nYellow Blue Pink Yellow Pink Gray Brown Brown Gray Yellow\nYellow Blue Pink Yellow Pink Gray Brown Brown Gray Yellow\nYellow Blue Pink Yellow Pink Gray Brown Brown Gray Yellow\nYellow Blue Pink Yellow Pink Gray Brown Brown Gray Yellow\n\n\nHere is the input grid for the test example:\nInput:\nOrange Black Black Pink Black Black Purple Purple Black Black\nBlack Orange Green Black Black Black Black Black Black Black\nBlack Black Pink Black Gray Red Yellow Black Blue Gray\nPurple Yellow Gray Black Gray Black Black Green Black Black\nBlack Green Black Pink Yellow Black Blue Red Pink Blue\nYellow Black Brown Black Black Black Black Black Black Black\nBlack Purple Purple Black Orange Black Black Purple Yellow Black\nBlack Pink Gray Pink Yellow Orange Brown Black Purple Black\nBlack Black Blue Black Brown Blue Red Purple Black Gray\nBlack Gray Purple Brown Orange Yellow Black Brown Orange Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Gray Pink Gray Red Purple Purple Blue Gray\nOrange Orange Gray Pink Gray Red Purple Purple Blue Gray\nOrange Orange Gray Pink Gray Red Purple Purple Blue Gray\nOrange Orange Gray Pink Gray Red Purple Purple Blue Gray\nOrange Orange Gray Pink Gray Red Purple Purple Blue Gray\nOrange Orange Gray Pink Gray Red Purple Purple Blue Gray\nOrange Orange Gray Pink Gray Red Purple Purple Blue Gray\nOrange Orange Gray Pink Gray Red Purple Purple Blue Gray\nOrange Orange Gray Pink Gray Red Purple Purple Blue Gray\nOrange Orange Gray Pink Gray Red Purple Purple Blue 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with 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 Brown Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Green Green Green\nBlack Black Black Black Black Black Pink Black Black Black Orange Orange Orange Orange Orange Black Black Black Green Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Pink Black Black Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Green Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black Black Orange Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Orange Orange Orange Orange Orange Black Black Black Green Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Orange Orange Orange Orange Orange Black Black Green Green Green\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Orange Black Black Black Black Black Green Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink 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 Gray Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Brown Brown Brown Brown Brown Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Pink Pink Pink Pink Pink Black Black Black Black Orange Black Black Black\nBlack Black Black Brown Black Black Black Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Orange Black Black Red Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Brown Brown Brown Black Black Black Black Pink Black Black Black Black Black Black Gray Gray Gray Black\nBlack Brown Brown Brown Brown Brown Black Pink Pink Pink Pink Pink Black Black Black Black Black Gray Black Black\nBlack Black Brown Brown Brown Black Black Pink Pink Pink Pink Pink Black Black Black Black Orange Black Black Black\nBlack Black Black Brown Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Red Red Red Red Red Red Red Black Black Black Black Green Black Black Black Pink Pink Pink\nBlack Black Black Red Red Red Red Red Black Black Black Black Green Green Green Black Black Black Pink Black\nBlack Black Black Red Red Red Red Red Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green 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 Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Pink Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Gray Gray Gray Black Black Black Black Pink Pink Pink Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Gray Black Black Black Black Black Black Pink Black Black Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Pink Black Black Black Pink Pink Pink Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black 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 Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Pink 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 Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Gray Black Black Black Black Black Black Pink Black Black Brown Brown Brown Brown Brown Brown Brown Black\nBlack Gray Gray Gray Black Black Black Black Pink Pink Pink Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Gray Black Black Black Black Black Black Pink Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black 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 Pink Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Purple Purple Red Green Red Blue Yellow Yellow Yellow Green Purple\nRed Black Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Blue\nPurple Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Blue\nRed Black Black Black Black Black Black Black Black Black Black Black Red\nBlue Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Green\nPurple Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Purple\nRed Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlue Black Black Black Black Black Black Black Black Black Black Black Purple\nBlue Black Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nPurple Red Purple Yellow Purple Blue Blue Purple Yellow Yellow Purple Green Blue\n\nOutput:\nYellow Yellow Brown Brown Green Red Green Yellow Blue Blue Blue Red Brown\nGreen Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Yellow\nBrown Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Black Green\nYellow Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Red\nBrown Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Brown\nGreen Black Black Black Black Black Black Black Black Black Black Black Blue\nYellow Black Black Black Black Black Black Black Black Black Black Black Brown\nYellow Black Black Black Black Black Black Black Black Black Black Black Green\nRed Black Black Black Black Black Black Black Black Black Black Black Red\nBrown Green Brown Blue Brown Yellow Yellow Brown Blue Blue Brown Red Yellow\n\n\nExample 2\nInput:\nGreen Yellow Red Green Purple Yellow Purple Green Purple Yellow Green Blue\nGreen Black Black Black Black Black Black Black Black Black Black Blue\nRed Black Black Black Black Black Black Black Black Black Black Blue\nGreen Black Black Black Black Black Black Black Black Black Black Red\nPurple Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Red\nPurple Black Black Black Black Black Black Black Black Black Black Yellow\nRed Black Black Black Black Black Black Black Black Black Black Yellow\nBlue Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Purple\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nYellow Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Purple\nYellow Black Black Black Black Black Black Black Black Black Black Red\nGreen Yellow Blue Blue Yellow Yellow Purple Yellow Red Yellow Red Blue\n\nOutput:\nRed Blue Green Red Brown Blue Brown Red Brown Blue Red Yellow\nRed Black Black Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Yellow\nRed Black Black Black Black Black Black Black Black Black Black Green\nBrown Black Black Black Black Black Black Black Black Black Black Green\nRed Black Black Black Black Black Black Black Black Black Black Green\nBrown Black Black Black Black Black Black Black Black Black Black Blue\nGreen Black Black Black Black Black Black Black Black Black Black Blue\nYellow Black Black Black Black Black Black Black Black Black Black Green\nRed Black Black Black Black Black Black Black Black Black Black Brown\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nBlue Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Brown\nBlue Black Black Black Black Black Black Black Black Black Black Green\nRed Blue Yellow Yellow Blue Blue Brown Blue Green Blue Green Yellow\n\n\nExample 3\nInput:\nRed Yellow Red Purple Green Purple Green Red Blue Blue Purple Purple\nYellow Black Black Black Black Black Black Black Black Black Black Purple\nRed Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Yellow\nPurple Black Black Black Black Black Black Black Black Black Black Yellow\nRed Black Black Black Black Black Black Black Black Black Black Green\nBlue Black Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Blue\nGreen Black Black Black Black Black Black Black Black Black Black Red\nBlue Black Black Black Black Black Black Black Black Black Black Red\nYellow Black Black Black Black Black Black Black Black Black Black Red\nYellow Black Black Black Black Black Black Black Black Black Black Blue\nRed Black Black Black Black Black Black Black Black Black Black Purple\nPurple Green Red Purple Yellow Red Blue Red Purple Blue Purple Green\n\nOutput:\nGreen Blue Green Brown Red Brown Red Green Yellow Yellow Brown Brown\nBlue Black Black Black Black Black Black Black Black Black Black Brown\nGreen Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Blue\nBrown Black Black Black Black Black Black Black Black Black Black Blue\nGreen Black Black Black Black Black Black Black Black Black Black Red\nYellow Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Blue\nRed Black Black Black Black Black Black Black Black Black Black Yellow\nRed Black Black Black Black Black Black Black Black Black Black Green\nYellow Black Black Black Black Black Black Black Black Black Black Green\nBlue Black Black Black Black Black Black Black Black Black Black Green\nBlue Black Black Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Brown\nBrown Red Green Brown Blue Green Yellow Green Brown Yellow Brown Red\n\n\nHere is the input grid for the test example:\nInput:\nBlue Green Yellow Green Green Red Red Yellow Red Purple Yellow Red Purple Yellow\nRed Black Black Black Black Black Black Black Black Black Black Black Black Green\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Green\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Purple\nRed Black Black Black Black Black Black Black Black Black Black Black Black Green\nRed Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Purple\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Green\nRed Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Blue\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Red\nGreen Red Yellow Blue Purple Green Purple Blue Purple Blue Red Blue Yellow Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Red Blue Red Red Green Green Blue Green Brown Blue Green Brown Blue\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Red\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Red\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Brown\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Green\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Green\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nRed Black Black Black Black Black Black Black Black Black Black Black Black Green\nRed Green Blue Yellow Brown Red Brown Yellow Brown Yellow Green Yellow Blue Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Yellow Yellow Yellow\nBlack Black Black Black Pink Pink Pink Black Black Black Black Green Green Black Yellow Yellow Yellow\nBlack Black Black Black Pink Pink Pink Brown Brown Brown Brown Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Pink Pink Pink Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Brown Brown Brown Brown Black Black Black Green Green Black\nBlack Orange Orange Orange Orange Black Black Brown Brown Brown Brown Black Orange Orange Green Green Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Orange Orange Orange Orange Purple Purple Purple Black Black Pink Pink Black Black Orange Orange Black\nBlack Orange Orange Orange Orange Purple Purple Purple Black Black Pink Pink Black Black Black Black Black\nBlack Orange Orange Orange Orange Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Brown Brown Brown Brown\nBlack Black Black Pink Pink Pink Brown Brown Brown Brown\nOrange Orange Orange Orange Black Black Brown Brown Brown Brown\nOrange Orange Orange Orange Black Black Brown Brown Brown Brown\nOrange Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Purple Purple Purple Black Black Black\nOrange Orange Orange Orange Purple Purple Purple Black Black Black\nOrange Orange Orange Orange Purple Purple Purple Black Black Black\n\n\nExample 2\nInput:\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Pink Pink Black Black Black Black Black Red Red Red Red Black\nBlack Black Green Green Green Green Black Black Black Black Black Red Red Red Red Black\nYellow Yellow Green Green Green Green Black Green Green Green Black Red Red Red Red Black\nYellow Yellow Green Green Green Green Black Green Green Green Black Red Red Red Red Black\nBlack Black Green Green Green Green Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Purple Purple Purple Black Black Black Black\n\nOutput:\nBlack Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Pink Pink Black Black Black Black Black Black\nBlue Blue Blue Black Pink Pink Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black\nYellow Yellow Green Green Green Green Black Green Green Green Black Black\nYellow Yellow Green Green Green Green Black Green Green Green Black Black\nBlack Black Green Green Green Green Black Green Green Green Black Black\nBlack Black Black Black Black Orange Orange Orange Black Purple Purple Purple\nBlack Black Black Black Black Orange Orange Orange Black Purple Purple Purple\nBlack Black Black Black Black Orange Orange Orange Black Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Gray Gray Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Orange Orange Orange Black Pink Pink Pink Black Black Black Black Black\nBlack Black Orange Orange Orange Black Pink Pink Pink Black Black Black Black Black\nBlack Black Orange Orange Orange Black Pink Pink Pink Black Brown Brown Brown Brown\nPink Pink Black Black Pink Pink Black Gray Gray Black Brown Brown Brown Brown\nPink Pink Black Black Pink Pink Black Gray Gray Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Black\nPink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Black\nPink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Black\nPink Pink Pink Pink Gray Gray Gray Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Green Green\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Gray Gray Gray Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Gray Gray Gray Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Black Black Black Black\nPurple Purple Black Black Black Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Black Black Black Green Green\nBlack Black Black Black Green Green\nBlack Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
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