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"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Purple Black Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Black Black Black Black Black Black Black Black\nBlack 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\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\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 Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black 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\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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black 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\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 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Green Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Green Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\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\nOutput:\nBlack Green Green Green Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Gray Gray Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Brown Brown Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Brown Brown Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue 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\nBlack Black Black Black Black 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 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\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Green Green Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Green Green Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange 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 Orange Orange Orange\n\nOutput:\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black\nOrange Orange Black Black Orange Orange Black Black Black Black\nOrange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 Black Green Green Green Green Green Green Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Black Black\nGreen Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Black Black\nGreen Green Black Black Green Green Black Black\nGreen Green Black Black Green Green Black Black\nGreen Green Black Black Green Green Black Black\nGreen Green Black Black Green Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Red Red Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red Black Black Red Red Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Red Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Red Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Red Red Black Black Red Red Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Red Red Black Black Red Red Black Black Red Red 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 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 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 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 Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 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 Gray Gray Black Black Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Gray Gray Black Black Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Gray Gray Black Black Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Gray Gray Black Black Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Red Red Red Red Red Red Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Red Red Black Black Red Red Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Red Red Black Black Red Red Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Gray Gray 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 Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black 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 Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Black Black Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Purple Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black\nBlack Black Black Purple 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 Yellow 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black\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 Black Black Black Black\nBlack Black Black Yellow 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 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 Purple Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Purple Purple 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 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow\nBlack Yellow Black Yellow Yellow\nYellow Yellow Yellow Black Yellow\nYellow Black Yellow Black Yellow\nGray Gray Gray Gray Gray\nYellow Black Black Yellow Yellow\nBlack Yellow Yellow Yellow Black\nBlack Black Black Black Black\nYellow Black Yellow Yellow Black\nYellow Black Yellow Yellow Yellow\nBlack Yellow Black Black Yellow\nYellow Yellow Black Black Black\n\nOutput:\nBlack Black Blue Black Black\nBlue Black Black Black Blue\nBlack Blue Blue Blue Blue\nBlack Black Black Black Blue\nBlack Blue Black Black Black\nBlue Black Blue Black Black\nBlack Black Blue Black Blue\n\n\nExample 2\nInput:\nYellow Yellow Black Black Yellow Black Yellow\nYellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray\nBlack Black Yellow Yellow Yellow Black Yellow\nBlack Yellow Yellow Yellow Black Black Yellow\nYellow Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Black Black Yellow\n\nOutput:\nBlue Blue Black Black Black Black Black\nBlue Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue\nBlack Black Blue Blue Blue Blue Black\n\n\nExample 3\nInput:\nBlack Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Yellow Black Yellow\nBlack Yellow Yellow Black Black Black Black Yellow\nBlack Yellow Yellow Black Black Yellow Black Yellow\nGray Gray Gray Gray Gray Gray Gray Gray\nYellow Black Black Black Black Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Yellow\nYellow Yellow Yellow Black Yellow Black Yellow Black\nBlack Yellow Yellow Black Black Black Black Yellow\n\nOutput:\nBlack Blue Blue Blue Black Black Blue Blue\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue\nBlack Black Black Black Black Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Black Yellow\nYellow Black Yellow Black Black Black\nBlack Yellow Yellow Black Black Yellow\nYellow Black Yellow Black Black Yellow\nBlack Black Black Black Yellow Yellow\nYellow Yellow Black Yellow Black Black\nGray Gray Gray Gray Gray Gray\nBlack Yellow Yellow Black Yellow Yellow\nBlack Yellow Yellow Black Yellow Black\nBlack Black Yellow Black Black Yellow\nBlack Yellow Black Black Black Black\nYellow Yellow Yellow Black Black Yellow\nBlack Yellow Black Yellow Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Black Blue Black Black\nBlue Black Black Black Black Black\nBlack Blue Black Black Black Black\nBlue Black Blue Black Black Blue\nBlack Black Black Black Blue Black\nBlue Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown 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\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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\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 Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\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 Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown 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 Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with 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 Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nBlack Gray Gray Gray Pink Pink Pink Black Black Pink Pink Pink Black\nBlack Gray Gray Gray Pink Pink Pink Black Black Pink Pink Pink Black\nBlack Gray Gray Gray Pink Pink Pink Black Black Pink Pink Pink Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Pink Pink Pink Black Black Black\nGray Gray Gray Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Gray Gray Gray Black Black Pink Pink Pink Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black\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 Brown Brown Brown Gray Gray Gray Black Black Gray Gray Gray Black\nBlack Brown Brown Brown Gray Gray Gray Black Black Gray Gray Gray Black\nBlack Brown Brown Brown Gray Gray Gray Black Black Gray Gray Gray Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Gray Gray Gray Black Black Black\nBrown Brown Brown Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Brown Brown Brown Black Black Gray Gray Gray Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nBlack Black Black Pink Pink Pink Yellow Yellow Yellow Pink Pink Pink\nGray Gray Gray Black Black Black Yellow Yellow Yellow Pink Pink Pink\nGray Gray Gray Black Black Black Black Black Black Pink Pink Pink\nGray Gray Gray Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBrown Brown Brown Black Black Black Black Black Black Gray Gray Gray\nBrown Brown Brown Black Black Black Black Black Black Gray Gray Gray\nBrown Brown Brown Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Pink Pink Pink Yellow Yellow Yellow Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Black Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Pink Pink Pink Black Pink Pink Pink Black\nGray Gray Gray Black Pink Pink Pink Black Pink Pink Pink Black\nGray Gray Gray Black Pink Pink Pink Black Pink Pink Pink 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 Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Black Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Black Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown\nBrown Brown Brown Black Gray Gray Gray Black Gray Gray Gray Black\nBrown Brown Brown Black Gray Gray Gray Black Gray Gray Gray Black\nBrown Brown Brown Black Gray Gray Gray Black Gray Gray Gray 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 Yellow Yellow Yellow Black Black Black\nGray Gray Gray Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nGray Gray Gray Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Pink Pink Pink\nGray Gray Gray Black Black Black Black Black Black Black Black Pink Pink Pink\nGray Gray Gray Black Black Black Black Black Black Black Black Pink Pink Pink\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Gray Gray Gray\nBrown Brown Brown Black Black Black Black Black Black Black Black Gray Gray Gray\nBrown Brown Brown Black Black Black Black Black Black Black Black Gray Gray Gray\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Gray Black Yellow Black\nBlack Black Black Blue Blue Gray Black\nBlack Black Blue Black Gray Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Blue Black\nBlack Black Black Gray Gray Yellow Black\nBlack Black Gray Black Yellow Black Black\nBlack Blue Black Black Black Black Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Blue Black Black Gray Yellow Black\nBlack Black Blue Black Black Black Black\nBlack Gray Black Black Yellow Black Black\nBlack Black Black Blue Black Yellow Black\nBlack Gray Black Blue Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Gray Black Black Yellow Blue Black\nBlack Black Gray Black Black Black Black\nBlack Yellow Black Black Blue Black Black\nBlack Black Black Gray Black Blue Black\nBlack Yellow Black Gray Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Black\nBlack Gray Blue Blue Black Black Black\nBlack Black Yellow Black Black Black Black\nBlack Black Blue Gray Black Gray Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black\nBlack Black Black Black Blue Black Black\nBlack Yellow Gray Gray Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Black Gray Yellow Black Yellow 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\nBlack Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Blue Black Black Black Black\nBlack Blue Black Gray Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black\nBlack Black Gray Black Black Black Black\nBlack Gray Black Yellow Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Black Black Orange Black Black Brown Pink Black Brown Pink Yellow\nBlack Black Black Purple Green Purple Green Black Black Yellow Black Blue\nBlack Black Purple Black Black Pink Black Orange Black Yellow Orange Black\nRed Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Gray Black Black Orange Black Orange Purple Black Black Black\nBrown Black Black Blue Black Black Black Purple Black Black Blue Yellow\nPink Red Yellow Orange Black Purple Black Black Pink Black Black Pink\nBlack Orange Red Red Black Black Black Black Black Red Black Yellow\n\nOutput:\nBlue Black Black Black Yellow Pink Yellow Yellow\nBlack Orange Black Black Blue Black Black Pink\nYellow Yellow Black Black Black Black Red Brown\nBlack Black Pink Purple Black Pink Black Black\nBlack Orange Black Orange Purple Black Black Pink\nGreen Black Black Black Black Black Black Brown\nPurple Pink Black Orange Black Purple Black Black\nGreen Black Black Black Black Black Black Black\nPurple Black Black Black Blue Orange Red Orange\nBlack Purple Black Gray Black Yellow Red Black\nBlack Black Black Black Black Red Orange Black\nBlack Black Red Black Brown Pink Black Orange\n\n\nExample 2\nInput:\nBrown Brown Black Black Brown Red Black Red Black Black\nBlack Orange Black Yellow Black Black Orange Black Purple Black\nPink Gray Black Purple Blue Black Black Black Purple Black\nBlack Brown Black Black Black Black Yellow Black Black Black\nPink Black Brown Red Black Black Black Yellow Purple Black\nGreen Pink Green Black Black Black Blue Purple Black Pink\nBlack Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Pink Black Black\nPurple Purple Black Purple Black Black Black\nBlack Black Black Yellow Purple Black Red\nOrange Black Yellow Black Blue Black Black\nBlack Black Black Black Black Black Red\nBlack Blue Black Black Black Black Brown\nYellow Purple Black Red Black Black Black\nBlack Black Black Brown Green Black Black\nOrange Gray Brown Black Pink Blue Brown\nBlack Pink Black Pink Green Black Brown\n\n\nExample 3\nInput:\nBlack Black Yellow Black Black Gray Pink Blue Black Red Black\nBlack Black Black Black Orange Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black\nBrown Black Black Black Black Black Yellow Blue Brown Orange Black\nBlack Black Black Brown Gray Black Black Gray Black Black Black\nYellow Brown Black Black Black Black Red Purple Blue Black Black\nBlack Black Gray Yellow Brown Gray Black Black Black Yellow Green\n\nOutput:\nBlack Black Black Black Black Green Black\nBlack Black Orange Black Black Yellow Red\nBrown Brown Brown Black Blue Black Black\nBlack Black Blue Gray Purple Black Blue\nBlack Black Yellow Black Red Black Pink\nBlack Black Black Black Black Gray Gray\nOrange Black Black Gray Black Brown Black\nBlack Black Black Brown Black Yellow Black\nBlack Black Black Black Black Gray Yellow\nBlack Black Black Black Brown Black Black\nBlack Black Brown Black Yellow Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Black Blue Black Black Black Gray\nPink Black Gray Black Black Black Purple Black Orange\nBlack Green Red Black Purple Black Black Black Black\nBlack Black Brown Black Black Black Black Purple Black\nBlack Orange Blue Yellow Purple Black Yellow Black Blue\nBlack Brown Orange Black Black Red Black Black Black\nBlack Brown Black Black Gray Gray Yellow Black Orange\nPurple Pink Black Black Black Pink Black Black Pink\nRed Black Black Black Black Black Black Gray 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```\nOrange Black Black Blue Black Orange Pink Blue Gray\nBlack Black Purple Black Black Black Black Gray Black\nPurple Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Red Gray Pink Black Black\nBlack Purple Black Purple Black Gray Black Black Blue\nBlack Black Black Yellow Black Black Black Black Black\nGray Red Brown Blue Orange Black Black Black Gray\nBlack Green Black Orange Brown Brown Pink Black Black\nPink Black Black Black Black Black Purple Red Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow\nPurple Purple Purple Green Green Green Green Green Green Yellow Yellow Yellow\nPurple Purple Purple Green Green Green Green Green Green Yellow Yellow Yellow\nPurple Purple Purple Green Green Green Green Green Green Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow\nOrange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow\nOrange Orange Orange Gray Gray Gray Red Red Red Yellow Yellow Yellow\n\nOutput:\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple\nGray Gray Gray Orange Orange Orange Green Green Green Brown Brown Brown\nGray Gray Gray Orange Orange Orange Green Green Green Brown Brown Brown\nGray Gray Gray Orange Orange Orange Green Green Green Brown Brown Brown\nRed Red Red Yellow Yellow Yellow Green Green Green Brown Brown Brown\nRed Red Red Yellow Yellow Yellow Green Green Green Brown Brown Brown\nRed Red Red Yellow Yellow Yellow Green Green Green Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple\nGray Gray Gray Orange Orange Orange Green Green Green Brown Brown Brown\nGray Gray Gray Orange Orange Orange Green Green Green Brown Brown Brown\nGray Gray Gray Orange Orange Orange Green Green Green Brown Brown Brown\nRed Red Red Yellow Yellow Yellow Green Green Green Brown Brown Brown\nRed Red Red Yellow Yellow Yellow Green Green Green Brown Brown Brown\nRed Red Red Yellow Yellow Yellow Green Green Green Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Pink Pink Pink\nGray Gray Gray Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Green Green Green Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Green Green Green Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Green Green Green Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Green Green Green Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Orange Orange Orange Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple\nRed Red Red Gray Gray Gray Gray Gray Gray Purple Purple Purple Orange Orange Orange\nRed Red Red Gray Gray Gray Gray Gray Gray Purple Purple Purple Orange Orange Orange\nRed Red Red Gray Gray Gray Gray Gray Gray Purple Purple Purple Orange Orange Orange\n\nOutput:\nRed Red Red Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nRed Red Red Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nRed Red Red Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green\nGray Gray Gray Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green\nGray Gray Gray Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Brown Brown Brown Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow\nOrange Orange Orange Purple Purple Purple Blue Blue Blue Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Purple Purple Purple Blue Blue Blue Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Purple Purple Purple Blue Blue Blue Pink Pink Pink Pink Pink Pink\nRed Red Red Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nRed Red Red Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nRed Red Red Brown Brown Brown Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Orange Orange Orange Brown Brown Brown Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green\nGray Gray Gray Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green\nGray Gray Gray Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Brown Brown Brown Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Blue Blue Blue Pink Pink Pink Yellow Yellow Yellow\nOrange Orange Orange Purple Purple Purple Blue Blue Blue Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Purple Purple Purple Blue Blue Blue Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Purple Purple Purple Blue Blue Blue Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nOrange Orange Orange Purple Purple Purple Red Red Red Gray Gray Gray Pink Pink Pink\nOrange Orange Orange Purple Purple Purple Red Red Red Gray Gray Gray Pink Pink Pink\nOrange Orange Orange Purple Purple Purple Red Red Red Gray Gray Gray Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Red Red Red Blue Blue Blue Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Red Red Red Blue Blue Blue Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Red Red Red Blue Blue Blue Gray Gray Gray\nPurple Purple Purple Brown Brown Brown Red Red Red Red Red Red Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Red Red Red Red Red Red Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Red Red Red Red Red Red Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown\nOrange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\n\nOutput:\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Brown Brown Brown Orange Orange Orange\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlue Blue Blue Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Gray Gray Gray Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Blue Blue Blue Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Yellow Yellow Yellow Red Red Red\nPurple Purple Purple Yellow Yellow Yellow Red Red Red\nPurple Purple Purple Yellow Yellow Yellow Red Red Red\nBlue Blue Blue Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Blue Blue Blue\nPink Pink Pink Blue Blue Blue Blue Blue Blue\nPink Pink Pink Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Blue Blue Blue Purple Purple Purple\nPink Pink Pink Blue Blue Blue Purple Purple Purple\nPink Pink Pink Blue Blue Blue Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Pink Pink Pink Red Red Red\nBlue Blue Blue Pink Pink Pink Red Red Red\nBlue Blue Blue Pink Pink Pink Red Red Red\nPink Pink Pink Blue Blue Blue Purple Purple Purple\nPink Pink Pink Blue Blue Blue Purple Purple Purple\nPink Pink Pink Blue Blue Blue Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Pink Pink Pink Red Red Red\nBlue Blue Blue Pink Pink Pink Red Red Red\nBlue Blue Blue Pink Pink Pink 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:\nBlue Blue Blue Blue Blue\nBlack Red Black Black Black\nBlack Black Red Black Black\nBlack Black Black Red Black\nBlack Black Red Black Black\n\nOutput:\nBlue Blue Blue Blue Blue\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Red Black Black\nBlack Red Red Red Black\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue\nRed Black Red Black Black\nBlack Black Black Black Black\nBlack Black Red Black Black\nBlack Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue\nBlack Black Black Black Black\nBlack Black Red Black Black\nBlack Black Black Black Black\nRed Black Red Black Black\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue\nBlack Black Black Red Black\nBlack Black Black Black Black\nBlack Black Red Black Black\nBlack Black Black Black Red\n\nOutput:\nBlue Blue Blue Blue Blue\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue\nBlack Black Black Black Black\nBlack Black Black Red Red\nBlack Black Black Black Red\nRed Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue\nBlack Black Black Black Black\nBlack Black Black Black Red\nBlack Black Black Black Black\nRed Black Black Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nGreen Red Black Black Red Green Black Red\nRed Green Green Black Black Black Black Red\nRed Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Red Red Black Black Black Black Red Red Green Green Black Black Red Red\nGreen Green Red Red Black Black Black Black Red Red Green Green Black Black Red Red\nRed Red Green Green Green Green Black Black Black Black Black Black Black Black Red Red\nRed Red Green Green Green Green Black Black Black Black Black Black Black Black Red Red\nRed Red 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\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 Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Green Black Black Black Black\nBlack Black Black Black Black Black Green\nRed Black Black Black Black Black Red\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Green Black\nBlack Black Black Black Black Black Black\nBlack Black Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nRed Red Black Black Black Black Black Black Black Black Black Black Red Red\nRed Red Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Red\nGreen Black Black Black Red Black Black\nBlack Green Black Red Black Black Black\nBlack Black Black Green Black Black Black\nGreen Black Black Black Black Black Black\nBlack Black Black Green Black Black Black\nBlack Black Black Black Black Red Black\nBlack Black Black Black Green Black Black\nBlack Black Black Black Black Green Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red\nGreen Green Black Black Black Black Black Black Red Red Black Black Black Black\nGreen Green Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Green Green Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Green Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nBlack Black Green Green Red Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Red Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Red Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Red Red Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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\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\nGreen Green Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Red 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\nBlack Purple Brown Purple Black\nBlack Brown Black Black Black\nBlack Brown Black Brown Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Purple Purple Purple\nBlack Purple Brown Purple Purple\nBlack Brown Purple Purple Purple\nBlack Brown Black Brown Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Blue Red Black\nBlack Black Brown Black Black\nBlack Pink Pink Pink Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Red Red Red\nBlack Black Blue Red Red\nBlack Black Brown Red Red\nBlack Pink Pink Pink Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Purple Blue Yellow Black\nBlack Purple Black Gray Black\nBlack Purple Blue Yellow Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Yellow\nBlack Purple Blue Yellow Yellow\nBlack Purple Yellow Gray Yellow\nBlack Purple Blue Yellow Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Gray Yellow Orange Black\nBlack Orange Yellow Yellow Black\nBlack Black Orange Gray 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 Orange Orange Orange\nBlack Gray Yellow Orange Orange\nBlack Orange Yellow Yellow Orange\nBlack Black Orange Gray 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 Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Gray Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Pink Gray Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Gray Gray\nPink Pink Pink Gray Gray\nPink Pink Pink Gray Gray\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nPink Pink Pink Gray Gray\nPink Pink Pink Gray Gray\nPink Pink Pink Gray Gray\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 Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Orange Orange Orange Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Red Brown Red Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Orange Brown Orange Black Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple 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:\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Brown Brown Brown Red Red\nRed Red Red Brown Brown Brown Red Red\nRed Red Red Brown Brown Brown Red Red\nOrange Orange Orange Brown Brown Brown Orange Orange\nOrange Orange Orange Brown Brown Brown Orange Orange\nOrange Orange Orange Brown Brown Brown Orange Orange\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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Red Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black 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:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Pink Pink Pink Pink Pink\nRed Red Red Pink Pink Pink Pink Pink\nRed Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown 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 Yellow Blue Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Blue Yellow Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow\n```",
"role": "assistant"
}
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Blue Green\nGray Gray Gray\nBlack Black Black\nBlack Black Black\nBlack Black Black\n\nOutput:\nGray Blue Green\nGray Gray Gray\nGray Blue Green\nBlue Green Gray\nGreen Gray Blue\n\n\nExample 2\nInput:\nGray Red Purple Brown\nGray Gray Gray Gray\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nGray Red Purple Brown\nGray Gray Gray Gray\nGray Red Purple Brown\nRed Purple Brown Gray\nPurple Brown Gray Red\nBrown Gray Red Purple\n\n\nExample 3\nInput:\nBrown Red Green Purple\nGray Gray Gray Gray\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nBrown Red Green Purple\nGray Gray Gray Gray\nBrown Red Green Purple\nRed Green Purple Brown\nGreen Purple Brown Red\nPurple Brown Red Green\n\n\nHere is the input grid for the test example:\nInput:\nYellow Orange\nGray Gray\nBlack Black\nBlack Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Orange\nGray Gray\nYellow Orange\nOrange Yellow\n```",
"role": "assistant"
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]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Brown Brown Gray Gray Purple Purple Green Green Purple Purple Orange Orange Brown Brown\nYellow Yellow Brown Brown Gray Gray Purple Purple Green Green Purple Purple Orange Orange Brown Brown\nGray Gray Orange Orange Orange Orange Blue Blue Blue Blue Gray Gray Orange Orange Purple Purple\nGray Gray Orange Orange Orange Orange Blue Blue Blue Blue Gray Gray Orange Orange Purple Purple\nOrange Orange Brown Brown Yellow Yellow Purple Purple Red Red Orange Orange Yellow Yellow Orange Orange\nOrange Orange Brown Brown Yellow Yellow Purple Purple Red Red Orange Orange Yellow Yellow Orange Orange\nRed Red Orange Orange Blue Blue Orange Orange Orange Orange Pink Pink Brown Brown Green Green\nRed Red Orange Orange Blue Blue Orange Orange Orange Orange Pink Pink Brown Brown Green Green\nGray Gray Yellow Yellow Green Green Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown\nGray Gray Yellow Yellow Green Green Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown\nBrown Brown Orange Orange Blue Blue Green Green Green Green Orange Orange Gray Gray Brown Brown\nBrown Brown Orange Orange Blue Blue Green Green Green Green Orange Orange Gray Gray Brown Brown\nBrown Brown Red Red Gray Gray Yellow Yellow Brown Brown Purple Purple Purple Purple Yellow Yellow\nBrown Brown Red Red Gray Gray Yellow Yellow Brown Brown Purple Purple Purple Purple Yellow Yellow\nBlue Blue Red Red Purple Purple Green Green Yellow Yellow Green Green Green Green Brown Brown\nBlue Blue Red Red Purple Purple Green Green Yellow Yellow Green Green Green Green Brown Brown\n\nOutput:\nYellow Yellow Brown Brown Gray Gray Purple Purple Green Green Purple Purple Orange Orange Brown Brown\nYellow Yellow Brown Brown Gray Gray Purple Purple Green Green Purple Purple Orange Orange Brown Brown\nGray Gray Orange Orange Orange Orange Blue Blue Blue Blue Gray Gray Orange Orange Purple Purple\nGray Gray Orange Orange Orange Orange Blue Blue Blue Blue Gray Gray Orange Orange Purple Purple\nOrange Orange Brown Brown Yellow Yellow Purple Purple Pink Pink Orange Orange Yellow Yellow Orange Orange\nOrange Orange Brown Brown Yellow Yellow Purple Purple Pink Pink Orange Orange Yellow Yellow Orange Orange\nPink Pink Orange Orange Blue Blue Orange Orange Orange Orange Red Red Brown Brown Green Green\nPink Pink Orange Orange Blue Blue Orange Orange Orange Orange Red Red Brown Brown Green Green\nGray Gray Yellow Yellow Green Green Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown\nGray Gray Yellow Yellow Green Green Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown\nBrown Brown Orange Orange Blue Blue Green Green Green Green Orange Orange Gray Gray Brown Brown\nBrown Brown Orange Orange Blue Blue Green Green Green Green Orange Orange Gray Gray Brown Brown\nBrown Brown Pink Pink Gray Gray Yellow Yellow Brown Brown Purple Purple Purple Purple Yellow Yellow\nBrown Brown Pink Pink Gray Gray Yellow Yellow Brown Brown Purple Purple Purple Purple Yellow Yellow\nBlue Blue Pink Pink Purple Purple Green Green Yellow Yellow Green Green Green Green Brown Brown\nBlue Blue Pink Pink Purple Purple Green Green Yellow Yellow Green Green Green Green Brown Brown\n\n\nExample 2\nInput:\nPurple Purple Blue Blue Pink Pink Red Red Green Green Orange Orange Purple Purple\nPurple Purple Blue Blue Pink Pink Red Red Green Green Orange Orange Purple Purple\nBrown Brown Red Red Gray Gray Orange Orange Pink Pink Yellow Yellow Red Red\nBrown Brown Red Red Gray Gray Orange Orange Pink Pink Yellow Yellow Red Red\nGray Gray Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Gray Gray\nGray Gray Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Gray Gray\nBlue Blue Purple Purple Gray Gray Orange Orange Red Red Orange Orange Purple Purple\nBlue Blue Purple Purple Gray Gray Orange Orange Red Red Orange Orange Purple Purple\nBrown Brown Red Red Green Green Orange Orange Green Green Green Green Blue Blue\nBrown Brown Red Red Green Green Orange Orange Green Green Green Green Blue Blue\nPurple Purple Pink Pink Blue Blue Red Red Orange Orange Purple Purple Brown Brown\nPurple Purple Pink Pink Blue Blue Red Red Orange Orange Purple Purple Brown Brown\nYellow Yellow Purple Purple Yellow Yellow Brown Brown Pink Pink Brown Brown Red Red\nYellow Yellow Purple Purple Yellow Yellow Brown Brown Pink Pink Brown Brown Red Red\n\nOutput:\nPurple Purple Blue Blue Red Red Pink Pink Green Green Orange Orange Purple Purple\nPurple Purple Blue Blue Red Red Pink Pink Green Green Orange Orange Purple Purple\nBrown Brown Pink Pink Gray Gray Orange Orange Red Red Yellow Yellow Pink Pink\nBrown Brown Pink Pink Gray Gray Orange Orange Red Red Yellow Yellow Pink Pink\nGray Gray Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Gray Gray\nGray Gray Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Gray Gray\nBlue Blue Purple Purple Gray Gray Orange Orange Pink Pink Orange Orange Purple Purple\nBlue Blue Purple Purple Gray Gray Orange Orange Pink Pink Orange Orange Purple Purple\nBrown Brown Pink Pink Green Green Orange Orange Green Green Green Green Blue Blue\nBrown Brown Pink Pink Green Green Orange Orange Green Green Green Green Blue Blue\nPurple Purple Red Red Blue Blue Pink Pink Orange Orange Purple Purple Brown Brown\nPurple Purple Red Red Blue Blue Pink Pink Orange Orange Purple Purple Brown Brown\nYellow Yellow Purple Purple Yellow Yellow Brown Brown Red Red Brown Brown Pink Pink\nYellow Yellow Purple Purple Yellow Yellow Brown Brown Red Red Brown Brown Pink Pink\n\n\nExample 3\nInput:\nBlue Blue Pink Pink Green Green Green Green Gray Gray Yellow Yellow Orange Orange\nBlue Blue Pink Pink Green Green Green Green Gray Gray Yellow Yellow Orange Orange\nPurple Purple Yellow Yellow Orange Orange Purple Purple Brown Brown Orange Orange Red Red\nPurple Purple Yellow Yellow Orange Orange Purple Purple Brown Brown Orange Orange Red Red\nRed Red Brown Brown Blue Blue Orange Orange Green Green Brown Brown Red Red\nRed Red Brown Brown Blue Blue Orange Orange Green Green Brown Brown Red Red\nGreen Green Pink Pink Yellow Yellow Orange Orange Blue Blue Gray Gray Red Red\nGreen Green Pink Pink Yellow Yellow Orange Orange Blue Blue Gray Gray Red Red\nGray Gray Brown Brown Purple Purple Yellow Yellow Orange Orange Brown Brown Purple Purple\nGray Gray Brown Brown Purple Purple Yellow Yellow Orange Orange Brown Brown Purple Purple\nYellow Yellow Blue Blue Yellow Yellow Red Red Purple Purple Gray Gray Green Green\nYellow Yellow Blue Blue Yellow Yellow Red Red Purple Purple Gray Gray Green Green\nGray Gray Pink Pink Brown Brown Orange Orange Brown Brown Red Red Red Red\nGray Gray Pink Pink Brown Brown Orange Orange Brown Brown Red Red Red Red\n\nOutput:\nBlue Blue Red Red Green Green Green Green Gray Gray Yellow Yellow Orange Orange\nBlue Blue Red Red Green Green Green Green Gray Gray Yellow Yellow Orange Orange\nPurple Purple Yellow Yellow Orange Orange Purple Purple Brown Brown Orange Orange Pink Pink\nPurple Purple Yellow Yellow Orange Orange Purple Purple Brown Brown Orange Orange Pink Pink\nPink Pink Brown Brown Blue Blue Orange Orange Green Green Brown Brown Pink Pink\nPink Pink Brown Brown Blue Blue Orange Orange Green Green Brown Brown Pink Pink\nGreen Green Red Red Yellow Yellow Orange Orange Blue Blue Gray Gray Pink Pink\nGreen Green Red Red Yellow Yellow Orange Orange Blue Blue Gray Gray Pink Pink\nGray Gray Brown Brown Purple Purple Yellow Yellow Orange Orange Brown Brown Purple Purple\nGray Gray Brown Brown Purple Purple Yellow Yellow Orange Orange Brown Brown Purple Purple\nYellow Yellow Blue Blue Yellow Yellow Pink Pink Purple Purple Gray Gray Green Green\nYellow Yellow Blue Blue Yellow Yellow Pink Pink Purple Purple Gray Gray Green Green\nGray Gray Red Red Brown Brown Orange Orange Brown Brown Pink Pink Pink Pink\nGray Gray Red Red Brown Brown Orange Orange Brown Brown Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Gray Gray Yellow Yellow Gray Gray Purple Purple Blue Blue Yellow Yellow Purple Purple Yellow Yellow\nRed Red Gray Gray Yellow Yellow Gray Gray Purple Purple Blue Blue Yellow Yellow Purple Purple Yellow Yellow\nPurple Purple Orange Orange Gray Gray Gray Gray Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple\nPurple Purple Orange Orange Gray Gray Gray Gray Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple\nPurple Purple Orange Orange Orange Orange Red Red Green Green Gray Gray Brown Brown Purple Purple Purple Purple\nPurple Purple Orange Orange Orange Orange Red Red Green Green Gray Gray Brown Brown Purple Purple Purple Purple\nRed Red Orange Orange Brown Brown Pink Pink Gray Gray Purple Purple Pink Pink Red Red Yellow Yellow\nRed Red Orange Orange Brown Brown Pink Pink Gray Gray Purple Purple Pink Pink Red Red Yellow Yellow\nBlue Blue Purple Purple Pink Pink Orange Orange Yellow Yellow Blue Blue Brown Brown Green Green Orange Orange\nBlue Blue Purple Purple Pink Pink Orange Orange Yellow Yellow Blue Blue Brown Brown Green Green Orange Orange\nPink Pink Blue Blue Red Red Green Green Brown Brown Brown Brown Orange Orange Gray Gray Blue Blue\nPink Pink Blue Blue Red Red Green Green Brown Brown Brown Brown Orange Orange Gray Gray Blue Blue\nRed Red Purple Purple Red Red Green Green Gray Gray Orange Orange Gray Gray Brown Brown Brown Brown\nRed Red Purple Purple Red Red Green Green Gray Gray Orange Orange Gray Gray Brown Brown Brown Brown\nOrange Orange Green Green Pink Pink Red Red Brown Brown Pink Pink Yellow Yellow Yellow Yellow Green Green\nOrange Orange Green Green Pink Pink Red Red Brown Brown Pink Pink Yellow Yellow Yellow Yellow Green Green\nPink Pink Purple Purple Blue Blue Brown Brown Blue Blue Orange Orange Brown Brown Yellow Yellow Red Red\nPink Pink Purple Purple Blue Blue Brown Brown Blue Blue Orange Orange Brown Brown Yellow Yellow 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```\nPink Pink Gray Gray Yellow Yellow Gray Gray Purple Purple Blue Blue Yellow Yellow Purple Purple Yellow Yellow\nPink Pink Gray Gray Yellow Yellow Gray Gray Purple Purple Blue Blue Yellow Yellow Purple Purple Yellow Yellow\nPurple Purple Orange Orange Gray Gray Gray Gray Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple\nPurple Purple Orange Orange Gray Gray Gray Gray Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple\nPurple Purple Orange Orange Orange Orange Pink Pink Green Green Gray Gray Brown Brown Purple Purple Purple Purple\nPurple Purple Orange Orange Orange Orange Pink Pink Green Green Gray Gray Brown Brown Purple Purple Purple Purple\nPink Pink Orange Orange Brown Brown Red Red Gray Gray Purple Purple Red Red Pink Pink Yellow Yellow\nPink Pink Orange Orange Brown Brown Red Red Gray Gray Purple Purple Red Red Pink Pink Yellow Yellow\nBlue Blue Purple Purple Red Red Orange Orange Yellow Yellow Blue Blue Brown Brown Green Green Orange Orange\nBlue Blue Purple Purple Red Red Orange Orange Yellow Yellow Blue Blue Brown Brown Green Green Orange Orange\nRed Red Blue Blue Pink Pink Green Green Brown Brown Brown Brown Orange Orange Gray Gray Blue Blue\nRed Red Blue Blue Pink Pink Green Green Brown Brown Brown Brown Orange Orange Gray Gray Blue Blue\nPink Pink Purple Purple Pink Pink Green Green Gray Gray Orange Orange Gray Gray Brown Brown Brown Brown\nPink Pink Purple Purple Pink Pink Green Green Gray Gray Orange Orange Gray Gray Brown Brown Brown Brown\nOrange Orange Green Green Red Red Pink Pink Brown Brown Red Red Yellow Yellow Yellow Yellow Green Green\nOrange Orange Green Green Red Red Pink Pink Brown Brown Red Red Yellow Yellow Yellow Yellow Green Green\nRed Red Purple Purple Blue Blue Brown Brown Blue Blue Orange Orange Brown Brown Yellow Yellow Pink Pink\nRed Red Purple Purple Blue Blue Brown Brown Blue Blue Orange Orange Brown Brown Yellow Yellow 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 Green Black Brown Black Black Black Black Black\nGreen Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Brown Black Yellow Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Green Black Brown Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Yellow Black\nYellow Black Black Black Brown Black Black Green Black Black\nBlack Black Black Green Brown Black Black Yellow Black Black\nBlack Black Black Green Brown Black Black Black Black Yellow\n\nOutput:\nGreen Black Green Green Brown Black Black Green Black Black\nGreen Black Green Green Brown Black Black Green Black Black\nBlack Black Green Green Brown Black Yellow Green Black Black\nBlack Black Green Green Brown Black Yellow Green Black Black\nBlack Black Green Green Brown Black Yellow Green Black Black\nBlack Black Green Green Brown Black Yellow Green Black Black\nBlack Black Black Green Brown Black Yellow Green Yellow Black\nYellow Black Black Green Brown Black Yellow Green Yellow Black\nYellow Black Black Green Brown Black Yellow Yellow Yellow Black\nYellow Black Black Green Brown Black Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nGreen Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Yellow Black\nYellow Black Black Black Black Brown Black Black Black Black\nGreen Black Black Black Black Brown Black Black Black Yellow\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Green Black\nBlack Black Black Black Black Brown Black Black Black Black\n\nOutput:\nGreen Black Black Black Yellow Brown Black Black Green Black\nGreen Black Black Black Yellow Brown Black Black Green Black\nGreen Black Black Black Yellow Brown Black Black Green Black\nGreen Black Black Black Yellow Brown Black Black Green Black\nGreen Black Black Black Yellow Brown Black Black Green Black\nGreen Black Black Black Yellow Brown Black Black Green Yellow\nYellow Black Black Black Yellow Brown Black Black Green Yellow\nYellow Black Black Black Yellow Brown Black Black Green Yellow\nYellow Black Black Black Yellow Brown Black Black Green Yellow\nYellow Black Black Black Yellow Brown Black Black Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Yellow Black Black Brown Black Green Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Green Black Brown Black Black Black Black\nBlack Black Black Black Green Brown Black Black Black Green\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nYellow Black Black Black Black Brown Black Black Black Black\nBlack Green Black Black Black Brown Black Yellow Black Black\n\nOutput:\nBlack Green Yellow Green Green Brown Black Green Black Green\nBlack Green Yellow Green Green Brown Black Black Black Green\nBlack Green Yellow Green Green Brown Black Black Black Green\nBlack Green Yellow Green Green Brown Black Black Black Green\nBlack Green Yellow Black Green Brown Black Black Black Green\nBlack Green Yellow Black Black Brown Black Black Black Black\nBlack Green Yellow Black Black Brown Black Black Black Black\nBlack Green Yellow Black Black Brown Black Black Black Black\nYellow Green Yellow Black Black Brown Black Black Black Black\nYellow Green Yellow Black Black Brown Black Yellow Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Brown Black Black Black Black Green Black\nBlack Black Black Brown Black Black Black Black Black Black\nGreen Black Black Brown Black Black Black Black Black Black\nYellow Black Black Brown Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Green Black\nBlack Black Black Brown Black Green Black Black Black Black\nBlack Black Black Brown Black Green Black Black Black Black\nYellow Black Black Brown Black Yellow Black Black Black Black\nBlack Black Black Brown Green Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Black Black Brown Green Green Black Black Green Black\nGreen Black Black Brown Green Green Black Black Green Black\nGreen Black Black Brown Green Green Black Black Green Black\nYellow Black Black Brown Green Green Black Black Green Black\nYellow Black Black Brown Green Green Black Black Green Black\nYellow Black Black Brown Green Green Black Black Green Black\nYellow Black Black Brown Green Green Black Black Black Black\nYellow Black Black Brown Green Green Black Black Black Black\nYellow Black Black Brown Green Yellow Black Black Black Black\nYellow Black Black Brown Green Yellow 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 Brown Brown Brown Black\nBlack Black Black Black Brown Brown Black Black\nBlack Black Black Brown Brown Brown Brown Brown\nBlack Black Black Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Brown Brown Brown\nBlack Black Black Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Green Green Green Green Green Black\nBlack Green Black Green Black Green Black\nBlack Black Green Green Green Green Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\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 Red Red Red Black Black Black Black\nBlack Black Red Red Red Black Black Black Black\nBlack Red Red Red Red Black Black Black Black\nBlack Red Red Red Red Black Black Black Black\nBlack Red Black Red Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\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\nBlack Black Black Black Black Black Gray Black\nBlack Black Black Black Black Gray Gray Gray\nBlack Black Black Black Gray Black Gray Black\nBlack Black Black Gray Gray Gray Black Black\nBlack Black Black Black Gray 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```\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black\nPink Pink Brown Brown Brown Black Black Black Black Brown Brown Brown Black\nPink Pink Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown 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 Pink Pink Pink 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 Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Brown Brown Brown\nBlack Black Black Black Black Black Black Black Pink Pink Brown Brown Brown\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Orange Orange Black Black Black Black Black Black\nBlue Blue Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Red Red Black Black Black Black\nBlack Gray Gray Gray Black Black Red Red Black Purple Purple Purple\nBlack Black Black Black Black Black 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\nOutput:\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Yellow\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack 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\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack 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 Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green 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 Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple 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 Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red 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\nBlack Red Red Red Red Red Black\nBlack Red Red Red Red Red Black\nBlack Red Red Red Red Red Black\nBlack Red Red Red Red Red Black\nBlack Red Red Red Red Red Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black 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\nBlack Black Black 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\nBlack Black Black 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\nBlack Black Black 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black 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 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 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 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 Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black 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\nBlack Black Black 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\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green 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 Black Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green\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 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray 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 Gray Gray 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 Gray Gray 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black 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 Black 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 Black 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 Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray 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 Gray Gray 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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```\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown 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 Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 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 Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green 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 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\nPurple Purple Black Black 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 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 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 Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green 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 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\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 Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Orange Orange\nBrown Green Orange Gray\nBrown Green Yellow Red\nYellow Yellow Yellow Yellow\n\nOutput:\nPurple Green Gray Orange\nPurple Purple Orange Orange\nPurple Blue Blue Yellow\nPurple Brown Brown Yellow\n\n\nExample 2\nInput:\nYellow Gray Brown Brown Red\nYellow Gray Brown Orange Gray\nGreen Green Green Yellow Gray\nYellow Pink Blue Brown Purple\nPink Pink Blue Purple Orange\n\nOutput:\nOrange Yellow Gray Gray Green\nYellow Brown Purple Orange Brown\nRed Red Blue Brown Brown\nPink Pink Blue Gray Gray\nPink Purple Blue Purple Purple\n\n\nExample 3\nInput:\nOrange Brown Purple Orange Orange\nPurple Brown Brown Orange Blue\nRed Red Red Gray Blue\nGray Blue Red Gray Gray\nPink Gray Yellow Brown Gray\n\nOutput:\nGray Gray Red Red Orange\nBrown Gray Gray Orange Orange\nPurple Green Green Brown Yellow\nGray Red Green Brown Brown\nPink Gray Green Yellow Orange\n\n\nHere is the input grid for the test example:\nInput:\nPurple Blue Pink\nYellow Blue Blue\nRed Pink Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Pink\nPink Red Red\nGreen Purple 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\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 Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Yellow Green Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Red Green Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Orange Blue Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Purple Purple 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 Yellow Blue Brown Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Green Green Blue Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Red Gray Gray Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Purple Blue Purple Orange Black\nBlack Black Black Black Black Black Black Black Black Purple Brown Blue Brown Purple Black\nBlack Black Black Black Black Black Black Black Black Gray Yellow Green Yellow Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Orange Brown Orange Gray Black\nBlack Black Black Black Black Black Black Black Black Red Brown Brown Brown Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Purple Gray Gray Red Black Black Black Black Black\nBlack Black Black Black Black Purple Brown Yellow Orange Brown Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Green Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Purple Brown Yellow Orange Brown Black Black Black Black Black\nBlack Black Black Black Black Orange Purple Gray Gray Red 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 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Brown Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue 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\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 Pink Pink Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Brown Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Brown Blue Purple Black Black Black Black Black Black Black Black Black\nBlack Red Brown Pink Purple Black Black Black Black Black Black Black Black Black\nBlack Red Brown Pink Purple Black Black Black Black Black Black Black Black Black\nBlack Red Brown Blue Purple 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 Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Blue Pink Pink Blue Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlue Blue Pink Pink Orange Orange\nBlue Blue Pink Pink Orange Orange\nBlue Blue Pink Pink Orange Orange\nBlue Blue Pink Pink Orange Orange\nBlue Blue Pink Pink Orange Orange\nBlue Blue Pink Pink Orange Orange\n\n\nExample 2\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlue Blue Orange Orange Pink Pink\nBlue Blue Orange Orange Pink Pink\nBlue Blue Orange Orange Pink Pink\nBlue Blue Orange Orange Pink Pink\nBlue Blue Orange Orange Pink Pink\nBlue Blue Orange Orange Pink Pink\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nOrange Orange Blue Blue Pink Pink\nOrange Orange Blue Blue Pink Pink\nOrange Orange Blue Blue Pink Pink\nOrange Orange Blue Blue Pink Pink\nOrange Orange Blue Blue Pink Pink\nOrange Orange Blue Blue Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Pink Pink Blue Blue\nOrange Orange Pink Pink Blue Blue\nOrange Orange Pink Pink Blue Blue\nOrange Orange Pink Pink Blue Blue\nOrange Orange Pink Pink Blue Blue\nOrange Orange Pink Pink Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown\nBrown Purple Brown\nBrown Brown Brown\n\nOutput:\nBrown Brown Brown\nBrown Purple Brown\nBrown Brown Brown\nBrown Brown Brown\nBrown Purple Brown\nBrown Brown Brown\n\n\nExample 2\nInput:\nBrown Gray Brown\nBrown Gray Brown\nBrown Green Brown\n\nOutput:\nBrown Gray Brown\nBrown Gray Brown\nBrown Green Brown\nBrown Green Brown\nBrown Gray Brown\nBrown Gray Brown\n\n\nExample 3\nInput:\nYellow Blue Red\nPink Brown Pink\nPink Pink Pink\n\nOutput:\nYellow Blue Red\nPink Brown Pink\nPink Pink Pink\nPink Pink Pink\nPink Brown Pink\nYellow Blue Red\n\n\nHere is the input grid for the test example:\nInput:\nPurple Blue Pink\nYellow Blue Blue\nPurple Blue 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```\nPurple Blue Pink\nYellow Blue Blue\nPurple Blue Pink\nPurple Blue Pink\nYellow Blue Blue\nPurple Blue Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Red Red Red Red 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 Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green 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\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\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 Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Red Red Red Red 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow 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 Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black 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 Black 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 Black 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 Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Green Green Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nGray Brown Yellow Red Black\nGray Brown Yellow Red Black\nGray Brown Yellow Red Black\nGray Brown Yellow Red Black\nGray Brown Yellow Red Black\nGray Brown Yellow Red Black\nGray Brown Yellow Red Black\nGray Brown Yellow Red Black\n\nOutput:\nGray Brown Yellow Red Black Gray Brown Yellow Red Black\nGray Brown Yellow Red Black Gray Brown Yellow Red Black\nGray Brown Yellow Red Black Gray Brown Yellow Red Black\nGray Brown Yellow Red Black Gray Brown Yellow Red Black\nGray Brown Yellow Red Black Gray Brown Yellow Red Black\nGray Brown Yellow Red Black Gray Brown Yellow Red Black\nGray Brown Yellow Red Black Gray Brown Yellow Red Black\nGray Brown Yellow Red Black Gray Brown Yellow Red Black\n\n\nExample 2\nInput:\nOrange Purple Gray Black\nOrange Purple Gray Black\nOrange Purple Gray Black\nOrange Purple Gray Black\nOrange Purple Gray Black\nOrange Purple Gray Black\nOrange Purple Gray Black\n\nOutput:\nOrange Purple Gray Black Orange Purple Gray Black\nOrange Purple Gray Black Orange Purple Gray Black\nOrange Purple Gray Black Orange Purple Gray Black\nOrange Purple Gray Black Orange Purple Gray Black\nOrange Purple Gray Black Orange Purple Gray Black\nOrange Purple Gray Black Orange Purple Gray Black\nOrange Purple Gray Black Orange Purple Gray Black\n\n\nExample 3\nInput:\nPink Blue Orange Gray Red\nPink Blue Orange Gray Red\nPink Blue Orange Gray Red\nPink Blue Orange Gray Red\nPink Blue Orange Gray Red\nPink Blue Orange Gray Red\nPink Blue Orange Gray Red\n\nOutput:\nPink Blue Orange Gray Red Pink Blue Orange Gray Red\nPink Blue Orange Gray Red Pink Blue Orange Gray Red\nPink Blue Orange Gray Red Pink Blue Orange Gray Red\nPink Blue Orange Gray Red Pink Blue Orange Gray Red\nPink Blue Orange Gray Red Pink Blue Orange Gray Red\nPink Blue Orange Gray Red Pink Blue Orange Gray Red\nPink Blue Orange Gray Red Pink Blue Orange Gray Red\n\n\nHere is the input grid for the test example:\nInput:\nYellow Brown Black\nYellow Brown Black\nYellow Brown Black\nYellow Brown Black\nYellow Brown Black\nYellow Brown Black\nYellow Brown Black\nYellow Brown Black\nYellow 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```\nYellow Brown Black Yellow Brown Black\nYellow Brown Black Yellow Brown Black\nYellow Brown Black Yellow Brown Black\nYellow Brown Black Yellow Brown Black\nYellow Brown Black Yellow Brown Black\nYellow Brown Black Yellow Brown Black\nYellow Brown Black Yellow Brown Black\nYellow Brown Black Yellow Brown Black\nYellow Brown Black Yellow Brown Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Black Pink Pink Pink Black Black Black\nBrown Brown Brown Black Pink Pink Pink Black Black Black\nBrown Brown Brown Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black\nGray Gray Gray Black Black Pink Pink Pink Black Black\nGray Gray Gray Black Black Pink Pink Pink Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nPink Pink Pink Black Yellow Yellow Yellow Black Black Black\nPink Pink Pink Black Yellow Yellow Yellow Black Black Black\nPink Pink Pink Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black\n\nOutput:\nPink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Gray Black Black Green Green Green\nGray Gray Gray Gray Gray Black Black Green Green Green\nGray Gray Gray Gray Gray Black Black Green Green Green\nGray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Blue Blue Blue Black Green Green Green\nBlack Black Black Blue Blue Blue Black Green Green Green\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nPink Pink Pink Black Yellow Yellow Yellow Black Black Black\nPink Pink Pink Black Yellow Yellow Yellow Black Black Black\nPink Pink Pink Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nPurple Purple Purple Black Yellow Yellow Yellow Yellow Yellow Black\nPurple Purple Purple Black Yellow Yellow Yellow Yellow Yellow Black\nPurple Purple Purple Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nGreen Red Red Pink Pink Pink\n\nOutput:\nYellow Blue Blue Purple Purple Purple\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nYellow Blue Blue Purple Purple Purple\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\nRed Pink Pink Green Red\n\nOutput:\nBlue Purple Purple Yellow Blue\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlue Purple Purple Yellow Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nGreen Red Green Green Green\n\nOutput:\nYellow Blue Yellow Yellow Yellow\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nYellow Blue Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\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\nRed Red Pink Red Red 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```\nBlue Blue Purple Blue Blue Purple Purple\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlue Blue Purple Blue Blue Purple Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray 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\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink 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 Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black\nYellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black Black\nBlack Yellow Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Yellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Yellow Black Yellow Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Yellow 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 Pink Black Black\n\nOutput:\nBlack Black Black Black Pink Black Black\nBlack Black Black Black Pink Black Black\nPink Black Black Black Pink Black Black\nBlack Pink Black Black Pink Black Black\nBlack Black Pink Black Pink Black Pink\nBlack Black Black Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Black Black Black Orange\nBlack Black Black Orange Black Black Orange\nBlack Black Black Black Orange Black Orange\nBlack Black Black Black Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Orange Orange\nBlack Black Black Black Orange Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray 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 Gray Black Black Black Black\nGray Black Black Black Gray Black Black Black Gray\nBlack Gray Black Black Gray Black Black Gray Black\nBlack Black Gray Black Gray Black Gray Black Black\nBlack Black Black Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black\nBlack Black Gray Black Gray Black Gray Black Black\nBlack Gray Black Black Gray Black Black Gray Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black 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 Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\n\nOutput:\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\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 Blue Blue Blue Black Black Black\nBlack Black Yellow 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue\nBlue Blue Blue\nBlue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nPink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black\nPink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nPink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black Pink Pink\n\n\nExample 2\nInput:\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBrown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Black Black Black Black Brown Brown Black Black Brown Brown\nBlack Black Brown Brown Black Black Black Black Brown Brown Black Black Brown Brown\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nBrown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Black Black Black Black Brown Brown Black Black Brown Brown\nBlack Black Brown Brown Black Black Black Black Brown Brown Black Black Brown Brown\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Brown Brown Black Black Brown Brown\nBlack Black Brown Brown Black Black Black Black Brown Brown Black Black Brown Brown\nBrown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nPink Pink Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nPink Pink Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nPink Pink Black Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Black Black Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Brown Yellow Brown Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Brown Yellow Brown Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Brown Yellow Brown Black\nBlack Black Black Black Black Black Yellow Brown Brown Brown Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Brown Yellow Brown 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:\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 Brown Brown Brown Brown Brown Yellow Brown Yellow Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Yellow Yellow Yellow Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Brown Yellow Brown Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Brown Yellow Brown Yellow Black\nBlack Black Black Black Black Black Brown Yellow Yellow Yellow Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Yellow Brown Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Green Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Green Orange Green Black Black Black\nBlack Black Orange Orange Green Orange Green Orange Orange Black Black\nBlack Black Black Green Orange Green Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Green Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Orange Green Green Black Black Black Black\nBlack Black Green Green Green Orange Green Orange Black Black Black\nBlack Black Green Green Orange Green Orange Green Green Black Black\nBlack Black Black Orange Green Orange Green Green Green Black Black\nBlack Black Black Black Green Green Orange Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Pink Pink Pink Pink Black Black Black\nPink Pink Gray Gray Pink Gray Gray Pink Pink Black Black Black\nPink Pink Pink Gray Gray Gray Pink Pink Pink Black Black Black\nPink Gray Gray Gray Pink Gray Gray Gray Pink Black Black Black\nGray Gray Pink Black Black Black Pink Gray Gray Black Black Black\nGray Gray Pink Gray Black Gray Pink Gray Gray Black Black Black\nBlack Gray Pink Gray Black Gray Pink Gray 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\nPink Pink Pink Pink Black Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Pink Black Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Red Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Black Red Red Brown Black Black Black Black\nBlack Black Black Red Brown Brown Red Red Red Red Black Black Black\nBlack Black Black Brown Brown Red Red Red Red Red Brown Brown Black\nBlack Black Black Black Black Red Red Red Red Brown Brown Red Black\nBlack Black Black Black Black Black Brown Red Red Black Brown Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Red Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Brown Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Black Brown Brown Red Black Black Black Black\nBlack Black Black Brown Red Red Brown Brown Brown Brown Black Black Black\nBlack Black Black Red Red Brown Brown Brown Brown Brown Red Red Black\nBlack Black Black Black Black Brown Brown Brown Brown Red Red Brown Black\nBlack Black Black Black Black Black Red Brown Brown Black Red Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Brown Red 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Orange Pink Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Orange Black Black Black Yellow Black Black\nBlack Yellow Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Purple 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 Blue Black Blue Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Orange Blue Black Blue Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black\nBlue Orange Blue Black Black Yellow Black Black\nBlue Yellow Blue Black Blue Black Blue Black\nBlue Yellow Blue Black Black Black Black Black\nBlue Black Blue Black Black Blue Black Blue\nBlack Blue Black Blue Black Black Yellow Black\nBlack Black Yellow Black Black Blue Black Blue\nBlack Blue Black Blue Black Black Black Black\nBlack Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black\n\n\nExample 2\nInput:\nBlack Black Pink Black Black Blue Black Black Yellow Black\nBlack Yellow Black Yellow Black Black Black Black Black Black\nBlack Gray Black Black Yellow Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Blue Black Blue Blue Black Black Yellow Black\nBlack Yellow Black Blue Black Blue Black Blue Black Blue\nBlue Gray Blue Black Blue Black Black Black Black Black\nBlack Black Brown Blue Black Blue Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Blue 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 Purple\nYellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Pink Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Purple\nYellow Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Blue Black Blue\nBlack Red Black Black Pink Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Blue Black Blue\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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Black Black Orange Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBrown Black Black Black Yellow Black Black Black Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Black Black Orange Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Black Blue Black Blue Black Blue Black\nBrown Black Black Black Yellow Black Black Black Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Blue Black Black\nBlack Black Blue Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Black Blue Black Black Black Black\nBlack Black Blue Black Black Black Blue Black Black Black\nBlack Blue Black Black Black Black Black Blue Black Black\nBlue Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Blue\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 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 Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Red\n\nOutput:\nBlack Blue Black Black Black Black Black Black Black Blue Black Black\nBlack Black Blue Black Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Blue Black Black Black\nBlack Blue Black Black Black Black Black Black Black Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue\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 Blue 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\nGreen Black Black Black Black Black Black Black Black Black Black Black Red\n\nOutput:\nBlack Black Blue Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Blue Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Blue Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue 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\nGreen Black Black Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Black Black Black Black Black Black Black Black Blue\nBlack Blue Black Black Black Black Black Black Black Blue Black\nBlack Black Blue Black Black Black Black Black Blue Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black\nBlack Black Blue Black Black Black Black Black Blue Black Black\nBlack Blue Black Black Black Black Black Black Black Blue Black\nBlue Black Black Black Black Black Black Black Black Black Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red 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 Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow Purple Purple Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Black Black Black Black Orange Orange Orange Orange Black Black Black Black Brown Brown Brown Brown\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Black Black Black Black Orange Orange Orange Orange Black Black Black Black Brown Brown Brown Brown\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Black Black Black Black Orange Orange Orange Orange Black Black Black Black Brown Brown Brown Brown\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Black Black Black Black Orange Orange Orange Orange Black Black Black Black Brown Brown Brown Brown\nPink Pink Pink Pink Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red 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 Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Black Black Black Black Orange Orange Orange Orange Black Black Black Black Brown Brown Brown Brown\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Black Black Black Black Orange Orange Orange Orange Black Black Black Black Brown Brown Brown Brown\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Black Black Black Black Orange Orange Orange Orange Black Black Black Black Brown Brown Brown Brown\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Black Black Black Black Orange Orange Orange Orange Black Black Black Black Brown Brown Brown Brown\nPink Pink Pink Pink Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Brown Brown Brown Brown\nBlue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Brown Brown Brown Brown\nBlue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Brown Brown Brown Brown\nBlue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Brown Brown Brown Brown\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Gray Gray Gray Gray Red Red Red Red Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Gray Gray Gray Gray Red Red Red Red Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Gray Gray Gray Gray Red Red Red Red Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Gray Gray Gray Gray Red Red Red Red Black Black Black Black Purple Purple Purple Purple\nOrange Orange Orange Orange Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Green Green Green Green Blue Blue Blue Blue Green Green Green Green Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Green Green Green Green Blue Blue Blue Blue Green Green Green Green Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Green Green Green Green Blue Blue Blue Blue Green Green Green Green Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Green Green Green Green Blue Blue Blue Blue Green Green Green Green Purple Purple Purple Purple Black Black Black Black\nPink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Orange Orange Orange Orange Pink Pink Pink Pink Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Black Black Black Black Orange Orange Orange Orange Pink Pink Pink Pink Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Black Black Black Black Orange Orange Orange Orange Pink Pink Pink Pink Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Black Black Black Black Orange Orange Orange Orange Pink Pink Pink Pink Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Brown Brown Brown Brown Red Red Red Red Black Black Black Black Red Red Red Red Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Red Red Red Red Black Black Black Black Red Red Red Red Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Red Red Red Red Black Black Black Black Red Red Red Red Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Red Red Red Red Black Black Black Black Red Red Red Red Blue Blue Blue Blue Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Brown Brown Brown Brown\nBlue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Brown Brown Brown Brown\nBlue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Brown Brown Brown Brown\nBlue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Brown Brown Brown Brown\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Gray Gray Gray Gray Red Red Red Red Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Gray Gray Gray Gray Red Red Red Red Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Gray Gray Gray Gray Red Red Red Red Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Gray Gray Gray Gray Red Red Red Red Black Black Black Black Purple Purple Purple Purple\nOrange Orange Orange Orange Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Black Black Black Black\nPink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Orange Orange Orange Orange Pink Pink Pink Pink Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Black Black Black Black Orange Orange Orange Orange Pink Pink Pink Pink Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Black Black Black Black Orange Orange Orange Orange Pink Pink Pink Pink Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Black Black Black Black Orange Orange Orange Orange Pink Pink Pink Pink Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Brown Brown Brown Brown Red Red Red Red Black Black Black Black Red Red Red Red Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Red Red Red Red Black Black Black Black Red Red Red Red Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Red Red Red Red Black Black Black Black Red Red Red Red Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Red Red Red Red Black Black Black Black Red Red Red Red Blue Blue Blue Blue Black Black Black Black\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nPink Pink Pink Pink Brown Brown Brown Brown Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Blue Blue Blue Blue\nPink Pink Pink Pink Brown Brown Brown Brown Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Blue Blue Blue Blue\nPink Pink Pink Pink Brown Brown Brown Brown Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Blue Blue Blue Blue\nPink Pink Pink Pink Brown Brown Brown Brown Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Blue Blue Blue Blue\nBlack Black Black Black Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Gray Gray Gray Gray\nBlue Blue Blue Blue Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Gray Gray Gray Gray\nBlue Blue Blue Blue Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Gray Gray Gray Gray\nBlue Blue Blue Blue Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Gray Gray Gray Gray\nOrange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Green Green Green Green Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Green Green Green Green Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Green Green Green Green Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Green Green Green Green Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Red Red Red Red Brown Brown Brown Brown\nBlue Blue Blue Blue Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Red Red Red Red Brown Brown Brown Brown\nBlue Blue Blue Blue Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Red Red Red Red Brown Brown Brown Brown\nBlue Blue Blue Blue Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Red Red Red Red Brown Brown Brown Brown\n\nOutput:\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nYellow Yellow Yellow Yellow Pink Pink Pink Pink Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nPink Pink Pink Pink Brown Brown Brown Brown Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Blue Blue Blue Blue\nPink Pink Pink Pink Brown Brown Brown Brown Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Blue Blue Blue Blue\nPink Pink Pink Pink Brown Brown Brown Brown Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Blue Blue Blue Blue\nPink Pink Pink Pink Brown Brown Brown Brown Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Blue Blue Blue Blue\nBlack Black Black Black Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Gray Gray Gray Gray\nBlue Blue Blue Blue Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Gray Gray Gray Gray\nBlue Blue Blue Blue Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Gray Gray Gray Gray\nBlue Blue Blue Blue Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Gray Gray Gray Gray\nOrange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Green Green Green Green Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Green Green Green Green Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Green Green Green Green Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Green Green Green Green Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Red Red Red Red Brown Brown Brown Brown\nBlue Blue Blue Blue Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Red Red Red Red Brown Brown Brown Brown\nBlue Blue Blue Blue Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Red Red Red Red Brown Brown Brown Brown\nBlue Blue Blue Blue Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Red Red Red Red Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black\nOrange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Blue Blue Blue Blue\nOrange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Blue Blue Blue Blue\nOrange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Blue Blue Blue Blue\nOrange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Black Black Black Black\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Black Black Black Black\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Black Black Black Black\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGreen Green Green Green Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Pink Pink Pink Pink\nGreen Green Green Green Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Pink Pink Pink Pink\nGreen Green Green Green Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Pink Pink Pink Pink\nGreen Green Green Green Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Pink Pink Pink Pink\nGray Gray Gray Gray Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nGray Gray Gray Gray Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nGray Gray Gray Gray Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nGray Gray Gray Gray Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBrown Brown Brown Brown Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Pink Pink Pink Pink\nBrown Brown Brown Brown Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Pink Pink Pink Pink\nBrown Brown Brown Brown Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Pink Pink Pink Pink\nBrown Brown Brown Brown Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Black Black Black Black\nOrange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Blue Blue Blue Blue\nOrange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Blue Blue Blue Blue\nOrange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Blue Blue Blue Blue\nOrange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Black Black Black Black\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Black Black Black Black\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Black Black Black Black\nYellow Yellow Yellow Yellow Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGreen Green Green Green Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Pink Pink Pink Pink\nGreen Green Green Green Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Pink Pink Pink Pink\nGreen Green Green Green Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Pink Pink Pink Pink\nGreen Green Green Green Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Pink Pink Pink Pink\nGray Gray Gray Gray Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nGray Gray Gray Gray Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nGray Gray Gray Gray Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nGray Gray Gray Gray Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBrown Brown Brown Brown Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Pink Pink Pink Pink\nBrown Brown Brown Brown Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Pink Pink Pink Pink\nBrown Brown Brown Brown Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Pink Pink Pink Pink\nBrown Brown Brown Brown Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Brown Brown Brown Brown Gray Gray Gray Gray Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black 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 Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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```\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\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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Black Yellow Blue Blue Blue\nBlack Black Blue Yellow Black Black Blue\nBlack Blue Blue Yellow Blue Black Black\n\nOutput:\nGreen Green Green\nBlack Black Green\nGreen Green Green\n\n\nExample 2\nInput:\nBlack Blue Black Yellow Black Blue Black\nBlack Blue Black Yellow Blue Black Blue\nBlack Blue Black Yellow Black Blue Black\n\nOutput:\nBlack Green Black\nGreen Green Green\nBlack Green Black\n\n\nExample 3\nInput:\nBlue Blue Black Yellow Black Black Black\nBlue Blue Blue Yellow Blue Black Blue\nBlue Blue Black Yellow Black Black Black\n\nOutput:\nGreen Green Black\nGreen Green Green\nGreen Green Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Black Blue Yellow Blue Black Black\nBlack Black Blue Yellow Blue Black Black\nBlack Blue Black Yellow Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Black Green\nGreen Black Green\nBlack 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:\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Black Yellow\nYellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow Yellow\nYellow Black Black Yellow Red Red Red Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Yellow Red Red Red Yellow Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow\nYellow Black Black Yellow Red Red Red Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black\nYellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Black Yellow Black Yellow\nYellow Black Black Yellow Pink Pink Pink Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Black Pink Pink Pink Yellow Black Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black\nYellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black\nBlack Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Black Yellow Black Black Yellow Yellow Black\nYellow Black Yellow Black Black Black Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Black Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Black Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow\nBlack Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Yellow Black\nYellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Black Yellow Black Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Black Black Black Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Black Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Black Green Green Black Black Green Green Purple Purple Purple Black Green Green\nGreen Green Black Green Green Green Green Green Green Green Green Green Green Black Purple Purple Purple Green Black Green\nGreen Green Green Black Black Green Green Green Green Green Green Black Green Black Purple Purple Purple Black Green Green\nGreen Green Green Green Green Green Black Green Green Black Green Green Black Green Green Purple Purple Purple Green Black\nBlack Black Green Black Green Black Green Green Green Black Green Green Green Green Black Purple Purple Purple Brown Brown\nGreen Green Green Green Green Black Black Green Green Black Green Green Green Black Green Purple Purple Purple Brown Brown\nGreen Green Black Green Black Black Green Black Green Green Green Green Black Green Black Green Black Brown Brown Brown\nGreen Green Green Black Green Green Green Black Green Green Green Green Green Black Green Green Green Green Green Green\nGreen Green Black Black Green Black Green Black Green Green Green Green Green Black Green Black Black Green Green Black\nGreen Green Black Green Green Green Black Black Green Green Black Green Black Black Green Green Black Green Green Black\nBlack Green Green Black Green Green Green Green Green Green Black Green Green Green Black Green Black Green Black Black\nGreen Green Green Black Green Green Black Black Green Green Black Green Green Green Green Green Black Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Black Green Green Green Green Black Black Green Green\nGreen Green Green Green Green Green Black Black Green Green Green Green Green Green Green Green Black Green Green Green\nGreen Green Green Black Green Green Green Green Green Green Green Green Green Black Green Green Black Green Green Green\nBlack Black Green Green Green Green Green Black Green Green Green Green Black Green Green Green Black Green Green Black\nGreen Green Green Black Black Green Black Black Black Green Green Green Black Green Green Green Black Black Green Green\nGreen Black Black Green Green Green Black Green Black Green Green Green Purple Purple Purple Black Green Green Green Black\nBlack Black Green Green Black Green Green Green Black Green Black Black Purple Purple Purple Black Black Green Black Green\nGreen Black Black Black Black Green Green Black Green Green Black Black Purple Purple Purple Black Green Black Green Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Black Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black\n\n\nExample 3\nInput:\nBlack Black Green Green Green Green Black Green Black Green Black Green Green Green Black Green Green Black Black Black\nGreen Green Green Green Green Green Black Green Black Green Green Green Green Green Green Black Black Black Green Black\nGreen Black Green Green Black Black Green Black Green Green Green Green Black Green Black Green Green Black Green Black\nGreen Green Green Black Green Green Green Green Black Green Black Green Black Green Green Green Green Green Green Black\nGreen Green Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Green\nGreen Black Black Green Green Green Green Green Green Black Black Green Green Black Green Green Green Black Green Green\nGreen Green Green Green Green Green Green Black Black Black Green Green Green Green Green Black Black Green Green Black\nGreen Green Green Green Black Green Green Green Black Green Green Green Green Black Green Green Green Black Green Green\nGreen Green Black Black Black Black Green Black Green Green Black Black Green Black Green Green Green Black Black Green\nGreen Black Green Green Green Green Black Black Green Green Green Green Black Green Black Green Green Green Green Black\nBlack Black Green Green Green Green Green Black Green Black Green Green Green Green Black Black Green Green Green Green\nGreen Green Black Black Green Green Green Green Black Black Black Black Green Green Black Black Green Green Green Black\nGreen Green Green Green Green Green Black Green Green Black Black Green Black Green Black Green Green Green Black Green\nGreen Black Green Green Green Black Black Green Green Green Green Black Green Green Green Black Black Black Green Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Green Green Black\nBlack Black Green Orange Orange Orange Green Green Green Green Green Green Black Green Green Green Green Black Green Black\nGreen Green Green Orange Orange Orange Green Black Green Green Black Green Green Black Green Black Black Black Green Black\nGreen Green Black Orange Orange Orange Green Black Black Green Black Green Green Green Green Green Green Green Green Green\nGreen Green Black Green Green Green Black Green Green Green Green Green Green Black Black Black Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Green Black Green Green Green Green Green Green Green Green Green\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Green Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Green Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Black Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Gray Gray Gray Black Gray Gray Gray Gray Black Gray Gray Gray Gray Black Black\nGray Black Black Black Gray Black Black Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray\nBlack Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black\nBlack Gray Black Black Gray Gray Gray Gray Gray Black Gray Black Gray Gray Black Black Black Gray Black Gray\nGray Gray Gray Black Gray Gray Black Black Black Black Black Black Black Black Gray Black Gray Black Gray Gray\nGray Black Gray Black Gray Black Gray Gray Black Gray Gray Gray Gray Gray Gray Black Gray Black Gray Black\nGray Gray Gray Gray Black Gray Gray Black Gray Gray Black Black Gray Gray Yellow Yellow Yellow Black Gray Gray\nGray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black Yellow Yellow Yellow Gray Gray Gray\nBlack Gray Gray Gray Black Black Gray Black Gray Gray Gray Gray Gray Black Yellow Yellow Yellow Gray Black Gray\nBlack Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black\nGray Gray Black Gray Gray Black Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray\nGray Gray Black Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black Gray Gray Gray Black\nGray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black Black Gray Gray Black Black Black\nGray Gray Gray Gray Gray Black Black Gray Black Black Gray Gray Gray Gray Gray Gray Black Gray Black Black\nGray Black Black Gray Black Gray Gray Gray Gray Black Gray Black Gray Gray Black Gray Gray Gray Gray Gray\nBlack Gray Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Gray Black Gray Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray\nBlack Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Red Black\nBlack Red Red Red Red Red Black\nBlack Red Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red\nRed Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Red\nRed Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Black\nBlack Black Brown Brown Brown Black\nBlack Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Black\nBlack Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBlack Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\nBlack Brown Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Red Red Red Black\nBlack Red Red Red Red Red Black\nBlack Red Black Black Black Black Black\nBlack Red Red Red Black Black Black\nBlack Red Red Red Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Red Red\nRed Black Black Black Black Black Black Black Black Red\nRed Red Red Black Black Black Black Red Red Red\nRed Red Red Black Black Black Black Red Red Red\nRed Red Red Black Black Black Black Red Red Red\nRed Red Red Black Black Black Black Red Red Red\nRed Black Black Black Black Black Black Black Black Red\nRed Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Green Green Green Black\nBlack Black Black Green Black\nBlack Green Green Green Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green\nBlack Black Green Green Black Black\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nBlack Black Green Green Black Black\nGreen Green Green Green Green Green\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Blue Blue\nBlue Blue Blue Blue Purple Purple Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Yellow Blue Blue\nBlue Blue Blue Blue Yellow Yellow Yellow Blue Blue\nBlue Blue Blue Blue Yellow Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Pink Pink Pink Blue Blue Blue Blue\nBlue Blue Pink Pink Pink Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Pink Pink Blue Blue Blue\nBlue Blue Blue Blue Pink Pink Blue Blue Blue\nBlue Blue Blue Blue Pink Pink Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Blue Pink Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Orange Orange Black Blue Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Orange Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Orange Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange 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 Pink Orange Black Orange Black Black\nBlack Black Purple Pink Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Orange Orange Black Black Black Purple Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Purple Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Orange Black Orange Orange Black Blue Black\nBlack Black Pink Black Black Orange Black Black Black Black Black Blue Black\nBlack Black Black Black Purple Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Orange Black Black\n\nOutput:\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Orange Orange Black Blue Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Orange Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Orange Orange Black Orange Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Orange Orange Black Black Black Purple Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Orange Black Black Purple Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Orange Black Orange Orange Black Blue Black\nBlack Black Pink Black Black Orange Black Black Black Black Black Blue Black\nBlack Black Black Black Purple Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Orange Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Black Black Brown Black Black Black Black Black Black Yellow\nBlack Black Black Blue Brown Black Black Black Gray Black Black Black Brown Black Black\nBlack Blue Black Black Black Black Black Gray Black Black Gray Black Black Black Black\nBlack Black Black Brown Brown Black Gray Black Black Brown Blue Black Black Black Black\nBlack Gray Gray Black Black Black Brown Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Gray Black Gray Blue Black\nBlue Black Black Blue Black Black Black Black Gray Black Black Black Black Black Yellow\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBrown Black Black Black Black Blue Black Blue Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Blue Black Black Black Gray Yellow Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Brown Brown Black Black Brown Black Black Black Black Black Black Yellow\nBlack Black Black Brown Brown Black Black Black Gray Black Black Black Brown Black Black\nBlack Blue Black Black Black Black Black Gray Black Blue Blue Black Black Black Black\nBlack Black Black Brown Brown Black Gray Gray Black Blue Blue Black Black Black Black\nBlack Gray Gray Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Gray Black Blue Blue Black\nBlue Black Black Blue Black Black Black Black Gray Black Black Black Black Black Yellow\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBrown Black Black Black Black Brown Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Pink Black Black Black Black Pink Black Black\nBlack Pink Black Brown Black Black Black Pink Black Pink Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Pink Black Black Black Pink Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Black Black Brown Black Black Black Black\nBrown Black Black Black Black Pink 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 Black\nBrown Black Black Black Black Black Black Pink Black Black Pink Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Pink Black Black Black Brown\nBlack Black Brown Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Pink Black Black Black Pink\n\nOutput:\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Pink Black Black Black Black Pink Black Black\nBlack Pink Black Brown Black Black Black Pink Black Pink Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Pink Black Black Black Pink Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Black Black Brown Black Black Black Black\nBrown Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBrown Black Black Black Black Black Black Pink Black Black Pink Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Pink Black Black Black Brown\nBlack Black Brown Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Pink Black Black Black Pink\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Pink Black Orange Black Black Pink Black Black Black\nBlack Black Orange Black Orange Black Green Black Black Black Green Black Black Black\nPink Black Pink Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Green Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Pink Black Black Black Black Black\nBlack Green Black Black Black Pink Black Black Pink Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Pink Green Black Pink Black Orange\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Green\nBlack Orange Black Black Black Orange Black Black Black Orange Black Black Black Black\nBlack Orange Black Green Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Pink Black Black Black Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Pink Black Orange Black Black Green Black Black Black\nBlack Black Pink Black Orange Black Green Black Black Black Green Black Black Black\nPink Black Pink Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Green Green Black Black Black Black\nBlack Green Black Black Black Pink Pink Pink Green Green Black Black Black Black\nBlack Black Pink Black Black Black Black Black Green Green Black Pink Black Green\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Green\nBlack Orange Black Black Black Orange Black Black Black Orange Black Black Black Black\nBlack Orange Black Green Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Green Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Black Orange Black Pink Black Yellow\nBlack Pink Black Brown Black Purple Black\nGray Black Pink Black Orange Black Brown\nBlack Green Black Green Black Orange Black\nOrange Black Brown Black Orange Black Gray\n\nOutput:\nPurple Purple Black Black Orange Orange Black Black Pink Pink Black Black Yellow Yellow\nPurple Purple Black Black Orange Orange Black Black Pink Pink Black Black Yellow Yellow\nBlack Black Pink Pink Black Black Brown Brown Black Black Purple Purple Black Black\nBlack Black Pink Pink Black Black Brown Brown Black Black Purple Purple Black Black\nGray Gray Black Black Pink Pink Black Black Orange Orange Black Black Brown Brown\nGray Gray Black Black Pink Pink Black Black Orange Orange Black Black Brown Brown\nBlack Black Green Green Black Black Green Green Black Black Orange Orange Black Black\nBlack Black Green Green Black Black Green Green Black Black Orange Orange Black Black\nOrange Orange Black Black Brown Brown Black Black Orange Orange Black Black Gray Gray\nOrange Orange Black Black Brown Brown Black Black Orange Orange Black Black Gray Gray\n\n\nExample 2\nInput:\nOrange Black Yellow Black Blue\nBlack Red Black Green Black\nPink Black Blue Black Gray\nBlack Red Black Orange Black\nBrown Black Blue Black Purple\nBlack Brown Black Gray Black\n\nOutput:\nOrange Orange Black Black Yellow Yellow Black Black Blue Blue\nOrange Orange Black Black Yellow Yellow Black Black Blue Blue\nBlack Black Red Red Black Black Green Green Black Black\nBlack Black Red Red Black Black Green Green Black Black\nPink Pink Black Black Blue Blue Black Black Gray Gray\nPink Pink Black Black Blue Blue Black Black Gray Gray\nBlack Black Red Red Black Black Orange Orange Black Black\nBlack Black Red Red Black Black Orange Orange Black Black\nBrown Brown Black Black Blue Blue Black Black Purple Purple\nBrown Brown Black Black Blue Blue Black Black Purple Purple\nBlack Black Brown Brown Black Black Gray Gray Black Black\nBlack Black Brown Brown Black Black Gray Gray Black Black\n\n\nExample 3\nInput:\nGray Black Brown Black Yellow Black\nBlack Yellow Black Red Black Green\nBlue Black Orange Black Purple Black\nBlack Pink Black Orange Black Gray\nPink Black Blue Black Purple Black\nBlack Yellow Black Orange Black Green\n\nOutput:\nGray Gray Black Black Brown Brown Black Black Yellow Yellow Black Black\nGray Gray Black Black Brown Brown Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Red Red Black Black Green Green\nBlack Black Yellow Yellow Black Black Red Red Black Black Green Green\nBlue Blue Black Black Orange Orange Black Black Purple Purple Black Black\nBlue Blue Black Black Orange Orange Black Black Purple Purple Black Black\nBlack Black Pink Pink Black Black Orange Orange Black Black Gray Gray\nBlack Black Pink Pink Black Black Orange Orange Black Black Gray Gray\nPink Pink Black Black Blue Blue Black Black Purple Purple Black Black\nPink Pink Black Black Blue Blue Black Black Purple Purple Black Black\nBlack Black Yellow Yellow Black Black Orange Orange Black Black Green Green\nBlack Black Yellow Yellow Black Black Orange Orange Black Black Green Green\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Gray Black\nBlack Green Black Pink\nBrown Black Gray Black\nBlack Brown 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```\nPink Pink Black Black Gray Gray Black Black\nPink Pink Black Black Gray Gray Black Black\nBlack Black Green Green Black Black Pink Pink\nBlack Black Green Green Black Black Pink Pink\nBrown Brown Black Black Gray Gray Black Black\nBrown Brown Black Black Gray Gray Black Black\nBlack Black Brown Brown Black Black Blue Blue\nBlack Black Brown Brown Black Black Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Purple Gray Black Black Purple Gray Black Black Black\nBlack Gray Gray Red Black Gray Gray Red Black Black\nBrown Black Gray Yellow Brown Black Gray Yellow Black Black\nBrown Purple Gray Yellow Brown Purple Gray Yellow Black Black\nBrown Gray Gray Red Brown Gray Gray Red Black Black\nBrown Black Gray Yellow Brown Purple Gray Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Purple Gray Yellow Brown Purple Gray Yellow Brown Purple\nBrown Gray Gray Red Brown Gray Gray Red Brown Gray\nBrown Purple Gray Yellow Brown Purple Gray Yellow Brown Purple\nBrown Purple Gray Yellow Brown Purple Gray Yellow Brown Purple\nBrown Gray Gray Red Brown Gray Gray Red Brown Gray\nBrown Purple Gray Yellow Brown Purple Gray Yellow Brown Purple\nBrown Purple Gray Yellow Brown Purple Gray Yellow Brown Purple\nBrown Gray Gray Red Brown Gray Gray Red Brown Gray\nBrown Purple Gray Yellow Brown Purple Gray Yellow Brown Purple\nBrown Purple Gray Yellow Brown Purple Gray Yellow Brown Purple\n\n\nExample 2\nInput:\nRed Blue Yellow Red Blue Black Black Black Black Black\nPink Black Pink Pink Brown Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black\nRed Blue Black Red Blue Yellow Black Black Black Black\nPink Brown Black Pink Brown Black Black Black Black Black\nPink Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red\n\n\nExample 3\nInput:\nPink Blue Purple Pink Blue Black Pink Blue Purple Black\nBlue Blue Yellow Blue Blue Yellow Blue Blue Yellow Black\nPink Blue Purple Pink Blue Purple Pink Blue Purple Black\nPink Blue Purple Pink Blue Purple Pink Blue Purple Black\nBlue Blue Black Blue Blue Black Blue Blue Black Black\nPink Blue Purple Pink Blue Black Pink Blue Black Black\nPink Blue Purple Pink Blue Black Pink Blue Purple Black\nBlue Blue Yellow Blue Blue Yellow Blue Blue Yellow Black\nPink Blue Purple Pink Blue Purple Pink Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Blue Purple Pink Blue Purple Pink Blue Purple Pink\nBlue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue\nPink Blue Purple Pink Blue Purple Pink Blue Purple Pink\nPink Blue Purple Pink Blue Purple Pink Blue Purple Pink\nBlue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue\nPink Blue Purple Pink Blue Purple Pink Blue Purple Pink\nPink Blue Purple Pink Blue Purple Pink Blue Purple Pink\nBlue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue\nPink Blue Purple Pink Blue Purple Pink Blue Purple Pink\nPink Blue Purple Pink Blue Purple Pink Blue Purple Pink\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Pink Red Gray Gray Pink Red Black Black\nGray Pink Yellow Red Black Pink Yellow Red Black Black\nGray Pink Pink Red Gray Pink Pink Black Black Black\nGray Gray Green Purple Black Gray Green Purple Black Black\nGray Gray Pink Red Gray Gray Pink Red Black Black\nGray Pink Yellow Black Gray Pink Yellow Red Black Black\nBlack Pink Pink Red Gray Pink Pink Red Black Black\nBlack Gray Green Black Gray Gray Green Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Pink Red Gray Gray Pink Red Gray Gray\nGray Pink Yellow Red Gray Pink Yellow Red Gray Pink\nGray Pink Pink Red Gray Pink Pink Red Gray Pink\nGray Gray Green Purple Gray Gray Green Purple Gray Gray\nGray Gray Pink Red Gray Gray Pink Red Gray Gray\nGray Pink Yellow Red Gray Pink Yellow Red Gray Pink\nGray Pink Pink Red Gray Pink Pink Red Gray Pink\nGray Gray Green Purple Gray Gray Green Purple Gray Gray\nGray Gray Pink Red Gray Gray Pink Red Gray Gray\nGray Pink Yellow Red Gray Pink Yellow Red Gray Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Yellow Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Green Green Green Orange Orange Orange\nOrange Orange Green Green Green Orange Orange Orange\nOrange Orange Green Black Green Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Green Green Green Black Purple Purple\nPurple Green Green Green Green Purple Purple\nPurple Green Green Green Green Purple Purple\nPurple Green Green Green Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Black Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Black Black Gray Pink Pink Pink Pink\nPink Pink Pink Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black\nBlack Yellow Yellow Black\nBlack Yellow Black Black\nBlack Black Black Black\n\nOutput:\nBlack Blue Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black\nBlack Red Red Black\nBlack Red Red Black\nBlack Black Black Black\n\nOutput:\nBlack Blue Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Orange Red Orange Black Black\nBlack Red Black Red Black Black\nBlack Red Black Red Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Blue Black Black Black Black\nBlack Blue Blue Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Green Green Black\nBlack Green Green 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 Blue Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black 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 Gray 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 Yellow 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 Gray Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black 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 Yellow\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 Gray Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black 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\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 Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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 Gray Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black 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 Blue Blue Blue 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\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack 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 Blue Blue Blue 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\nBlack 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 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 Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue 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\nBlack Black Black Black Black Black Blue Blue Blue 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 Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green 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\nBlack 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 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 Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Blue Blue Blue 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\nBlack Black Black Black Black Black Blue Blue Blue 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 Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue 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 Red Red Red\nBlack 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 Black Black Black Black Black Black Black Black Black Red Red Red\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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\n\nOutput:\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Blue Blue Blue 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\nBlack Black Black Black Black Black Blue Blue Blue 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 Green Green Green Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black Black Red Red Red\nBlack 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 Black Black Black Black Black Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black 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 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 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 Blue Blue Blue\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\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\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\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Green Green Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black 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 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 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 Blue Blue Blue\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\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\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\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\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\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\n\n\nDirectly provide the output grids corresponding to the given test input 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Green Green Green 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\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\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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Pink Pink Pink\n\nOutput:\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink 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 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\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black 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\nBlack Black Black 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\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\n\n\nExample 2\nInput:\nBlack 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 Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange\nOrange Orange Orange 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 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black 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 Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black 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\nBlack Black Black 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 Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\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\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\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray\nBlack 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\nBlack 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\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black 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\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlack Black Black 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 Black Black Black\nBlack Black Black Gray 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 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\nGray 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 Gray Gray Gray Gray Gray Gray\nBlack Black Black 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 Gray Gray Gray Gray Gray Gray\nBlack Black Black 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 Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray 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 Gray Gray Gray\nBlack Black Black Black 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 Gray Gray Gray\nBlack Black Black 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 Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black\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\nBlack Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink\nBlack 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink 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 Black Black Black\nPink 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\nBlack 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\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black 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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Black Pink Pink Pink Pink Purple Purple Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Black Pink Pink Pink Pink Purple Purple Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\n\nOutput:\nYellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Black Black\nYellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Red Red Red Red Red Red Orange Orange Orange Orange Green Green Green Green Green Green Black Black\nBlack Black Red Red Red Red Red Red Orange Orange Orange Orange Green Green Green Green Green Green Black Black\nBlack Black Red Red Red Red Red Red Orange Orange Orange Orange Green Green Green Green Green Green Black Black\nBlack Black Red Red Red Red Red Red Orange Orange Orange Orange Green Green Green Green Green Green Black Black\nBlack Black Black Black Red Red Red Red Orange Orange Orange Orange Black Black Green Green Green Green Black Black\nBlack Black Black Black Red Red Red Red Orange Orange Orange Orange Black Black Green Green Green Green Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow 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 Green Green Green Green Green Green Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black 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 Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black 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 Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow 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:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Red Yellow Black Brown Black Black Purple\nPurple Black Black Brown Yellow Yellow Black Brown Brown Black Purple\nPurple Black Brown Brown Green Green Black Green Yellow Red Purple\nPurple Black Black Black Black Purple Purple Green Yellow Yellow Purple\nPurple Black Yellow Yellow Green Purple Purple Black Black Black Purple\nPurple Black Red Yellow Green Black Green Green Brown Brown Purple\nPurple Black Black Brown Brown Black Yellow Yellow Brown Black Purple\nPurple Black Black Black Brown Black Yellow Red Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Yellow Black Brown Black Black Black\nBlack Black Black Brown Yellow Yellow Black Brown Brown Black Black\nBlack Black Brown Brown Green Green Black Green Yellow Red Black\nBlack Black Black Black Black Black Black Green Yellow Yellow Black\nBlack Black Yellow Yellow Green Black Black Black Black Black Black\nBlack Black Red Yellow Green Black Green Green Brown Brown Black\nBlack Black Black Brown Brown Black Yellow Yellow Brown Black Black\nBlack Black Black Black Brown Black Yellow Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Pink Pink Pink Black Black Black Black Orange\nOrange Black Black Black Pink Pink Purple Pink Pink Black Black Black Orange\nOrange Black Black Black Green Green Green Green Green Black Black Black Orange\nOrange Black Black Black Green Green Black Green Green Black Black Black Orange\nOrange Black Black Black Black Green Black Green Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange 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 Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Purple Pink Pink Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Green Green Black Black Black Black\nBlack Black Black Black Black Green Black Green 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:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Purple Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Red Black Black Black Black Black Gray\nGray Black Black Black Black Black Blue Blue Blue Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\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 Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Red Brown Pink Gray Blue Black Black Black Pink\nPink Black Black Purple Blue Green Blue Blue Brown Red Black Pink\nPink Black Black Purple Purple Gray Pink Pink Brown Red Black Pink\nPink Black Black Black Purple Black Pink Red Pink Orange Black Pink\nPink Black Black Purple Purple Gray Pink Pink Brown Red Black Pink\nPink Black Black Purple Blue Green Blue Blue Brown Red Black Pink\nPink Black Black Red Brown Pink Gray Blue Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Brown Black Gray Blue Black Black Black Black\nBlack Black Black Purple Blue Green Blue Blue Brown Red Black Black\nBlack Black Black Purple Purple Gray Black Black Brown Red Black Black\nBlack Black Black Black Purple Black Black Red Black Orange Black Black\nBlack Black Black Purple Purple Gray Black Black Brown Red Black Black\nBlack Black Black Purple Blue Green Blue Blue Brown Red Black Black\nBlack Black Black Red Brown Black Gray Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Green 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 Red Black Black Black Black Black Black Black\nBlack Black Green Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Green Black Black Black Black Black\nBlack Blue Black Black Green Black Black Black Black Black Black\nBlue Black Black Green Black Black Black Black Black Black Black\nBlack Black Green Red Black Black Black Black Black Black Black\nBlack Green Green Black Black Blue Black Black Black Black Black\nGreen Green Black Black Blue Black Black Black Black Black Black\nGreen Black Black Blue Red Black Black Black Blue Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Green Black Black Black Black\nBlack 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\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Red Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Green Black Black\nBlack Black Black Black Black Black Green Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Black Green Black Black Black Blue\nBlack Black Black Black Green Black Black Green Black Black Black Blue Black\nBlack Black Black Green Black Black Green Black Black Black Blue Black Black\nBlack Black Green Red Black Green Black Black Black Blue Black Black Black\nBlack Green Red Black Green Black Black Black Blue Black Black Black Black\nGreen Red Black Green Black Black Black Blue Red Black Black Black Black\nRed Black Green Black Black Black Blue Red Black Black Black Black Red\n\n\nExample 3\nInput:\nBlack Black Black 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\nBlack 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\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black 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\nBlack 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 Blue Black\nBlack Black Black Black Black Black Black Black Green Black Black Blue Black Black\nBlack Black Black Black Black Black Black Green Black Black Blue Black Black Black\nBlack Black Black Black Black Black Green Black Black Blue Black Black Black Black\nBlack Black Black Black Black Green Black Black Blue Black Black Black Black Black\nBlack Black Black Black Green Black Black Blue Black Black Blue Black Black Black\nBlack Black Black Green Black Black Blue Black Black Blue Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed 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 Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Green Black Black Black Black\nRed Black Red Black Black Black Green Black Black Black Black Black\nBlack Red Black Black Black Green Black Black Black Black Black Black\nRed Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Blue Black Black Black Black\nBlack Black Green Black Black Black Blue Black Black Black Black Black\nBlack Red Black Black Black 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:\nBlue Blue Blue Blue Gray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Blue Blue\nBlue Blue Blue Blue Gray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Blue Blue\nBlue Blue Blue Blue Gray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Blue Blue\nBlue Blue Blue Blue Gray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Blue Blue\nGray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Gray Gray\nGray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Gray Gray\nGray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Gray Gray\nGray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Gray Gray\nBrown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Gray Gray Gray Gray Brown Brown\nBrown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Gray Gray Gray Gray Brown Brown\nBrown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Gray Gray Gray Gray Brown Brown\nBrown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Gray Gray Gray Gray Brown Brown\nGreen Green Green Green Blue Blue Blue Blue Gray Gray Gray Gray Brown Brown Brown Brown Green Green\nGreen Green Green Green Blue Blue Blue Blue Gray Gray Gray Gray Brown Brown Brown Brown Green Green\nGreen Green Green Green Blue Blue Blue Blue Gray Gray Gray Gray Brown Brown Brown Brown Green Green\nGreen Green Green Green Blue Blue Blue Blue Gray Gray Gray Gray Brown Brown Brown Brown Green Green\nBlue Blue Blue Blue Gray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Blue Blue\nBlue Blue Blue Blue Gray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Blue Blue\nBlue Blue Blue Blue Gray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Blue Blue\nBlue Blue Blue Blue Gray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Blue Blue\nGray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Gray Gray\nGray Gray Gray Gray Brown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Gray Gray\n\nOutput:\nBlue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Black Black Black Black Blue Blue\nBlue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Black Black Black Black Blue Blue\nBlue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Black Black Black Black Blue Blue\nBlue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Black Black Black Black Blue Blue\nRed Red Red Red Brown Brown Brown Brown Black Black Black Black Blue Blue Blue Blue Red Red\nRed Red Red Red Brown Brown Brown Brown Black Black Black Black Blue Blue Blue Blue Red Red\nRed Red Red Red Brown Brown Brown Brown Black Black Black Black Blue Blue Blue Blue Red Red\nRed Red Red Red Brown Brown Brown Brown Black Black Black Black Blue Blue Blue Blue Red Red\nBrown Brown Brown Brown Black Black Black Black Blue Blue Blue Blue Red Red Red Red Brown Brown\nBrown Brown Brown Brown Black Black Black Black Blue Blue Blue Blue Red Red Red Red Brown Brown\nBrown Brown Brown Brown Black Black Black Black Blue Blue Blue Blue Red Red Red Red Brown Brown\nBrown Brown Brown Brown Black Black Black Black Blue Blue Blue Blue Red Red Red Red Brown Brown\nBlack Black Black Black Blue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Black Black\nBlack Black Black Black Blue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Black Black\nBlack Black Black Black Blue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Black Black\nBlack Black Black Black Blue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Black Black\nBlue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Black Black Black Black Blue Blue\nBlue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Black Black Black Black Blue Blue\nBlue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Black Black Black Black Blue Blue\nBlue Blue Blue Blue Red Red Red Red Brown Brown Brown Brown Black Black Black Black Blue Blue\nRed Red Red Red Brown Brown Brown Brown Black Black Black Black Blue Blue Blue Blue Red Red\nRed Red Red Red Brown Brown Brown Brown Black Black Black Black Blue Blue Blue Blue Red Red\n\n\nExample 2\nInput:\nGray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink\nGray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink\nGray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink\nGray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink\nPink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink Red Red\nPink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink Red Red\nPink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink Red Red\nPink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink Red Red\nRed Red Red Red Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Purple Purple\nRed Red Red Red Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Purple Purple\nRed Red Red Red Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Purple Purple\nRed Red Red Red Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Purple Purple\nPurple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Gray Gray\nPurple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Gray Gray\nPurple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Gray Gray\nPurple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Gray Gray\n\nOutput:\nGray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink\nGray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink\nGray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink\nGray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink\nPink Pink Pink Pink Red Red Red Red Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Red Red\nPink Pink Pink Pink Red Red Red Red Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Red Red\nPink Pink Pink Pink Red Red Red Red Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Red Red\nPink Pink Pink Pink Red Red Red Red Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Red Red\nRed Red Red Red Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Orange Orange\nRed Red Red Red Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Orange Orange\nRed Red Red Red Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Orange Orange\nRed Red Red Red Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Orange Orange\nOrange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Orange Orange Orange Orange Gray Gray\nOrange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Orange Orange Orange Orange Gray Gray\nOrange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Orange Orange Orange Orange Gray Gray\nOrange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Red Red Red Red Orange Orange Orange Orange Gray Gray\n\n\nExample 3\nInput:\nPink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink\nBlue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue\nOrange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Gray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange\nGray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray\nGray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray\nGray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray\nGray Gray Gray Gray Pink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray\n\nOutput:\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red Pink Pink Pink Pink\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red Pink Pink Pink Pink\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red Pink Pink Pink Pink\nPink Pink Pink Pink Yellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Red Red Red Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nOrange Orange Orange Orange Red Red Red Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nOrange Orange Orange Orange Red Red Red Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nOrange Orange Orange Orange Red Red Red Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nRed Red Red Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red\nRed Red Red Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red\nRed Red Red Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red\nRed Red Red Red Pink Pink Pink Pink Yellow Yellow Yellow Yellow Orange Orange Orange Orange Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Blue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Blue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Blue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Blue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBlue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue\nBlue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue\nOrange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Orange Orange Orange Orange\nOrange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nBlue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue\nBlue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Blue Blue Blue Blue Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red 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 Red Red Red Red 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 Red Red Red Red 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 Red Red Red Red 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 Red Red Red Red 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 Red Red Red Red 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 Red Red Red Red 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 Red Red Red Red 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 Red Red Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink 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 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 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 Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink 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 Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\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 Blue Blue Blue\nBlack 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\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\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 Green Green Green Green Green Green Green Green Green Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Purple Purple\nBlack 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 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 Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input 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 Red Red Red\nBlack Black Black Red Red Red\nBlack Black Black Red Red Red\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with 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 Green Green Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Green Green Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black\nGreen Green Green Green Green Green 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 Black\nBlack Black Green Green 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\n\nOutput:\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Orange Orange Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Orange Orange Green Green\nOrange 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\nOrange 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Black Black Green Green Black Black Green Green Green Green\nBlack Black Green Green Black Black Green Green 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 Green Green Black Black Black Black Black Black Green Green Green Green\nBlack Black Green Green Black Black Black Black Black Black Green Green Green Green\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange\nBrown 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\nBrown 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Green Green Green Green Green Green Black Black Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green 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\n\nOutput:\nBrown Brown Green Green Green Green Green Green Green Green Green Green Green Green\nBrown Brown Green Green Green Green Green Green Green Green Green Green Green Green\nBrown Brown Green Green Green Green Green Green Brown Brown Green Green Brown Brown\nBrown Brown Green Green Green Green Green Green Brown Brown Green Green Brown Brown\nBrown Brown Green Green Green Green Green Green Green Green Green Green Green Green\nBrown Brown Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Brown Brown Green Green Brown Brown\nGreen Green Green Green Green Green Green Green Brown Brown Green Green Brown Brown\nBrown Brown Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nBrown Brown Green Green Green Green Green Green Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown 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\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 Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange 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\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Blue Blue Blue\nBlack Black Black Black Black Blue Red Red Red Blue Blue Blue\nBlack Black Black Black Black Blue Blue Red Red Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Red Blue 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black\nBlack Black 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\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 Red Red Red Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black\nBlack Red Red Red Blue Blue Black Black Black\nBlack Blue Red Red Blue Blue Black Black Black\nBlack Blue Blue Red Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Red 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 Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Blue Blue Black\nBlack Black Black Blue Red Red Blue Blue Black\nBlack Black Black Blue Blue Red Blue Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Red 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 Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Red Blue Blue Blue Black Black\nBlack Black Blue Red Red Red Blue Blue Blue Black Black\nBlack Black Blue Blue Red Red Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Red Blue Blue Blue 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:\nBlue Blue Black Blue Black Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Black Black Blue Blue Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Black Blue Black Black Black Blue Blue Blue Black Black\nBlack Black Blue Black Black Black Black Blue Blue Black Blue Blue Blue Black Black Blue Black Black Black Blue Black Black Blue Black Black Blue Blue\nBlack Black Blue Black Blue Blue Blue Blue Blue Black Blue Black Black Blue Black Blue Black Blue Blue Black Black Blue Black Black Blue Blue Blue\nBlack Blue Black Black Black Blue Black Black Black Black Blue Pink Black Blue Blue Blue Black Blue Black Blue Blue Blue Black Blue Black Black Blue\nBlue Blue Black Black Black Blue Black Black Black Black Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Blue Black Blue Blue\nBlue Black Blue Black Blue Blue Black Blue Black Blue Blue Pink Pink Pink Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Black\nBlack Black Blue Black Black Black Black Black Blue Blue Black Pink Pink Pink Pink Blue Black Blue Blue Blue Black Black Blue Blue Black Blue Blue\nBlue Black Blue Blue Black Blue Black Blue Black Black Black Blue Blue Black Blue Black Blue Blue Black Blue Blue Blue Blue Black Black Black Blue\nBlack Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Blue Black Blue Black Blue Black Blue Black Black Black Black\nBlack Black Blue Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Blue Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Black Black Black Black Blue Black Black Black Black Black Black Blue Black Blue Blue Black Black Black Blue\nBlue Black Blue Blue Black Black Blue Black Black Blue Black Black Black Blue Black Black Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue\nBlack Blue Black Black Black Black Blue Blue Black Blue Black Blue Black Black Blue Blue Black Blue Blue Black Black Black Blue Black Black Blue Blue\nBlack Blue Blue Blue Blue Blue Black Black Blue Black Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Black\nBlack Blue Black Black Black Blue Blue Black Black Black Blue Black Black Black Blue Blue Blue Black Black Blue Black Black Blue Black Black Blue Blue\nBlack Blue Black Black Black Black Black Blue Blue Black Blue Blue Blue Black Black Black Blue Black Blue Blue Blue Blue Blue Black Black Black Blue\nBlue Blue Black Black Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue Blue Black Blue Black\nBlack Black Black Black Black Black Blue Black Blue Blue Black Black Black Black Blue Blue Black Blue Blue Black Blue Black Black Black Black Blue Black\nBlue Black Blue Black Blue Black Black Blue Black Blue Blue Black Blue Black Blue Black Black Black Blue Black Blue Black Blue Black Blue Blue Black\nBlack Black Black Black Black Black Blue Black Black Blue Blue Blue Black Blue Blue Black Blue Blue Blue Black Blue Blue Black Blue Blue Black Black\nBlack Black Black Blue Black Blue Blue Black Blue Blue Blue Black Blue Black Black Blue Black Black Black Black Black Blue Black Black Black Blue Blue\nBlue Black Black Black Blue Blue Black Blue Black Blue Black Black Black Blue Black Blue Black Black Blue Black Blue Blue Black Black Blue Blue Black\n\nOutput:\nBlue Blue Black Blue Black Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Black Black Blue Blue Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Black Blue Black Black Black Blue Blue Blue Black Black\nBlack Black Blue Black Black Black Black Blue Blue Black Blue Blue Blue Black Black Blue Black Black Black Blue Black Black Blue Black Black Blue Blue\nBlack Black Blue Black Blue Blue Blue Blue Blue Black Blue Black Black Blue Black Blue Black Blue Blue Black Black Blue Black Black Blue Blue Blue\nBlack Blue Black Black Black Blue Black Black Black Black Blue Pink Black Blue Blue Blue Black Blue Black Blue Blue Blue Black Black Black Black Blue\nBlue Blue Black Black Black Blue Black Black Black Black Blue Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Black Blue Black Blue Blue Black Blue Black Blue Blue Pink Pink Pink Blue Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Blue Black Black Black Black Black Blue Blue Black Pink Pink Pink Pink Blue Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlue Black Blue Blue Black Black Black Black Black Blue Black Black Black Blue Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Blue Black Blue Black Black Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Blue Black Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Black Black Black Blue Blue Black Black Black Blue Black Black Black Blue Blue Blue Black Black Blue Black Black Blue Black Black Black Black\nBlack Blue Black Black Black Black Black Blue Blue Black Blue Blue Blue Black Black Black Blue Black Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Black Black Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue Blue Black Blue Black\nBlack Black Black Black Black Black Blue Black Blue Blue Black Black Black Black Blue Blue Black Blue Blue Black Blue Black Black Black Black Blue Black\nBlue Black Blue Black Blue Black Black Blue Black Blue Blue Black Blue Black Blue Black Black Black Blue Black Blue Black Blue Black Blue Blue Black\nBlack Black Black Black Black Black Blue Black Black Blue Blue Blue Black Blue Blue Black Blue Blue Blue Black Blue Blue Black Blue Blue Black Black\nBlack Black Black Blue Black Blue Blue Black Blue Blue Blue Black Blue Black Black Blue Black Black Black Black Black Blue Black Black Black Blue Blue\nBlue Black Black Black Blue Blue Black Blue Black Blue Black Black Black Blue Black Blue Black Black Blue Black Blue Blue Black Black Blue Blue Black\n\n\nExample 2\nInput:\nBlue Blue Blue Black Black Black Blue Black Blue Blue Black Black Blue Black Blue Blue Black Black Blue Black Blue Blue Blue Blue Blue\nBlack Black Blue Black Black Blue Black Blue Black Blue Blue Blue Blue Black Blue Black Black Blue Blue Blue Blue Black Blue Black Black\nBlack Black Black Blue Gray Blue Black Blue Black Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Blue Black Blue Black\nBlack Black Blue Blue Gray Gray Blue Blue Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Black Blue Blue\nBlue Black Black Black Gray Gray Gray Black Blue Black Black Blue Black Blue Black Blue Black Blue Blue Black Blue Black Black Blue Blue\nBlue Black Black Black Black Blue Blue Blue Black Black Black Blue Black Blue Blue Blue Black Black Blue Blue Black Black Blue Black Black\nBlue Black Black Blue Black Blue Black Black Black Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Blue Black Blue Black\nBlack Blue Black Black Black Black Black Blue Blue Black Blue Black Blue Blue Blue Black Black Black Blue Blue Blue Black Blue Black Blue\nBlack Blue Blue Black Blue Blue Blue Black Black Black Black Blue Blue Black Blue Blue Blue Blue Blue Blue Black Black Blue Black Blue\nBlack Blue Blue Black Black Blue Black Blue Black Black Black Black Blue Blue Black Blue Blue Black Black Blue Black Blue Black Black Blue\nBlue Blue Black Black Black Blue Black Black Black Black Blue Blue Blue Black Blue Black Black Blue Blue Black Black Blue Black Black Black\nBlue Blue Blue Black Black Black Blue Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Black\nBlue Black Blue Black Blue Black Blue Black Blue Blue Black Black Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue Black Blue\nBlue Blue Black Black Black Black Blue Black Black Black Black Blue Black Blue Black Blue Blue Black Black Blue Black Blue Black Blue Black\nBlack Blue Blue Blue Blue Black Blue Blue Blue Black Black Blue Blue Black Blue Black Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Blue Black Blue Black Black Black Blue Blue Black Blue Blue Black Black Black Black Black Black Blue Black Blue Blue Blue Black Black\nBlack Blue Blue Black Black Blue Black Black Black Blue Blue Black Blue Black Blue Black Black Black Blue Blue Black Blue Blue Blue Blue\nBlue Blue Black Black Black Blue Black Black Blue Blue Blue Black Black Blue Blue Black Blue Blue Blue Black Black Black Black Blue Blue\nBlue Blue Black Blue Blue Black Black Black Blue Blue Black Black Black Black Black Blue Black Blue Blue Blue Black Blue Blue Black Blue\nBlue Blue Black Black Black Blue Black Blue Blue Blue Black Black Blue Black Black Blue Black Blue Blue Black Black Blue Blue Blue Blue\nBlack Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Black Black Black Blue Blue Black Black Blue Blue Blue Black Blue Black\n\nOutput:\nBlue Blue Blue Black Black Black Blue Black Blue Blue Black Black Blue Black Blue Blue Black Black Blue Black Blue Blue Blue Blue Blue\nBlack Black Blue Black Black Blue Black Blue Black Blue Blue Blue Blue Black Blue Black Black Blue Blue Blue Blue Black Blue Black Black\nBlack Black Black Blue Gray Blue Black Blue Black Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Blue Black Blue Black\nBlack Black Blue Blue Gray Gray Blue Blue Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Black Blue Blue\nBlue Black Black Black Gray Gray Gray Black Blue Black Black Blue Black Blue Black Blue Black Blue Blue Black Blue Black Black Blue Blue\nBlue Black Black Black Black Blue Blue Blue Black Black Black Blue Black Blue Blue Blue Black Black Blue Blue Black Black Blue Black Black\nBlue Black Black Blue Black Blue Black Black Black Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Blue Black Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black Blue Black Blue Blue Blue Black Black Black Blue Blue Blue Black Blue Black Blue\nBlack Black Black Black Blue Blue Blue Black Black Black Black Blue Blue Black Blue Blue Blue Blue Blue Blue Black Black Blue Black Blue\nBlack Black Black Black Black Blue Black Blue Black Black Black Black Blue Blue Black Blue Blue Black Black Blue Black Blue Black Black Blue\nBlack Black Black Black Black Blue Black Black Black Black Blue Blue Blue Black Blue Black Black Blue Blue Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Black\nBlack Black Black Black Blue Black Blue Black Blue Blue Black Black Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue Black Blue\nBlack Black Black Black Black Black Blue Black Black Black Black Blue Black Blue Black Blue Blue Black Black Blue Black Blue Black Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Blue Blue Black Blue Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Blue Black Black Black Blue Blue Black Blue Blue Black Black Black Black Black Black Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Black Black Black Blue Blue Black Blue Black Blue Black Black Black Blue Blue Black Blue Blue Blue Blue\nBlack Black Black Black Black Blue Black Black Blue Blue Blue Black Black Blue Blue Black Blue Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Blue Blue Black Black Black Blue Blue Black Black Black Black Black Blue Black Blue Blue Blue Black Blue Blue Black Blue\nBlack Black Black Black Black Blue Black Blue Blue Blue Black Black Blue Black Black Blue Black Blue Blue Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Black Blue Blue Blue Blue Black Black Black Blue Blue Black Black Blue Blue Blue Black Blue Black\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Black Blue Black Black Black Black Black Blue Blue Black Black Black Blue Black Blue Blue Blue Black Blue Black Blue Blue\nBlack Blue Black Black Blue Blue Blue Black Black Black Blue Black Blue Blue Black Black Blue Black Black Blue Black Blue Blue Blue Black Black\nBlue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Black Blue Black Black Black Black\nBlue Blue Blue Blue Black Blue Blue Blue Black Black Black Blue Black Black Blue Blue Black Black Blue Black Black Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Red Black Black Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue Black Black Blue Black Red Red Blue Blue Black Black Black Blue Black Black\nBlue Black Black Black Blue Black Black Black Blue Blue Black Black Blue Black Blue Black Red Red Red Black Blue Black Black Black Black Black\nBlue Black Blue Blue Black Blue Black Blue Black Black Black Blue Black Blue Blue Blue Red Red Red Red Black Blue Blue Black Black Blue\nBlue Blue Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Red Red Red Red Red Blue Black Black Black Black\nBlue Blue Blue Black Blue Blue Blue Black Black Black Blue Black Black Black Black Blue Red Red Red Red Red Red Black Black Black Black\nBlue Black Blue Black Blue Blue Blue Blue Blue Black Black Black Blue Blue Black Black Red Red Red Red Red Red Red Black Blue Blue\nBlue Blue Blue Black Black Blue Blue Black Black Black Black Blue Black Blue Black Blue Red Red Red Red Red Red Red Blue Black Blue\nBlue Blue Blue Blue Black Blue Black Blue Black Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue Blue Black Blue\nBlue Blue Black Blue Black Blue Blue Blue Blue Black Blue Blue Black Black Blue Black Blue Black Blue Black Blue Blue Black Black Blue Blue\nBlue Black Blue Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Blue Black Black Blue Black Blue Black Black\nBlack Blue Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Black\nBlue Blue Blue Black Black Black Blue Black Black Black Black Black Blue Black Blue Black Blue Black Blue Black Blue Black Blue Black Black Black\nBlue Black Blue Blue Black Blue Black Black Blue Black Black Blue Black Blue Black Black Black Black Blue Black Black Black Blue Black Black Black\nBlue Black Blue Blue Blue Black Black Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Black Blue Black Blue Black Black Blue\nBlack Black Blue Blue Black Blue Blue Black Black Blue Black Black Black Black Black Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Black Black Blue Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Black Blue Black Blue\nBlue Blue Black Black Blue Black Blue Blue Black Black Black Black Blue Blue Black Blue Blue Blue Blue Black Blue Black Black Blue Blue Black\n\nOutput:\nBlue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Black Black Black Blue Black Blue Blue Blue Black Blue Black Blue Blue\nBlack Blue Black Black Black Black Black Black Black Black Blue Black Blue Blue Black Black Blue Black Black Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Blue Blue Black Black Blue Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Blue Red Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Red Red Blue Blue Black Black Black Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Blue Black Blue Black Red Red Red Black Blue Black Black Black Black Black\nBlack Black Blue Blue Black Blue Black Blue Black Black Black Blue Black Blue Blue Blue Red Red Red Red Black Blue Blue Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Red Red Red Red Red Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Blue Black Black Black Black Blue Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Blue Blue Black Black Red Red Red Red Red Red Red Black Blue Blue\nBlack Black Black Black Black Blue Blue Black Black Black Black Blue Black Blue Black Blue Red Red Red Red Red Red Red Blue Black Blue\nBlack Black Black Black Black Blue Black Blue Black Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue Blue Black Blue\nBlack Black Black Black Black Blue Blue Blue Blue Black Blue Blue Black Black Blue Black Blue Black Blue Black Blue Blue Black Black Blue Blue\nBlack Black Blue Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Blue Black Black Blue Black Blue Black Black\nBlack Blue Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Black\nBlue Blue Blue Black Black Black Blue Black Black Black Black Black Blue Black Blue Black Blue Black Blue Black Blue Black Blue Black Black Black\nBlue Black Blue Blue Black Blue Black Black Blue Black Black Blue Black Blue Black Black Black Black Blue Black Black Black Blue Black Black Black\nBlue Black Blue Blue Blue Black Black Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Black Blue Black Blue Black Black Blue\nBlack Black Blue Blue Black Blue Blue Black Black Blue Black Black Black Black Black Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Black Black Blue Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Black Blue Black Blue\nBlue Blue Black Black Blue Black Blue Blue Black Black Black Black Blue Blue Black Blue Blue Blue Blue Black Blue Black Black Blue Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Blue Blue Blue Blue Black Blue Black Blue Black Black Blue Black Black Black Blue Black Blue Black Blue Black Black\nBlack Blue Blue Blue Black Blue Black Blue Blue Black Blue Black Black Blue Blue Black Blue Blue Blue Black Blue Blue Black Blue\nBlack Blue Blue Blue Black Blue Black Black Blue Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Black Blue Black Blue Black Black Black Black Blue Blue Black Black Black Black Black Blue Blue Blue Blue Blue Black Blue Blue\nBlue Blue Blue Black Black Black Blue Black Black Blue Black Black Black Blue Black Blue Blue Blue Black Blue Blue Blue Blue Black\nBlue Black Black Black Blue Black Black Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Black\nBlue Blue Black Blue Blue Blue Black Blue Blue Black Black Blue Black Blue Blue Black Black Blue Orange Blue Blue Blue Black Black\nBlack Black Black Black Blue Black Blue Blue Blue Black Blue Black Blue Blue Blue Blue Black Black Orange Orange Black Black Black Blue\nBlue Blue Blue Black Black Blue Black Black Blue Blue Black Black Black Black Black Black Black Blue Orange Orange Orange Black Blue Black\nBlue Blue Blue Black Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue Black Blue Orange Orange Orange Orange Blue Black\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue\nBlack Black Blue Blue Blue Black Black Black Black Black Blue Black Black Black Blue Black Blue Black Orange Orange Orange Orange Orange Blue\nBlack Blue Blue Black Blue Blue Black Blue Black Black Black Blue Black Black Blue Black Blue Black Orange Orange Orange Orange Orange Black\nBlack Blue Black Black Black Black Blue Black Black Blue Blue Black Black Black Blue Black Black Blue Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Blue Black Orange Orange Orange Orange Orange Black\nBlack Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue\nBlue Blue Blue Black Blue Black Blue Black Blue Blue Blue Blue Black Black Blue Blue Black Blue Black Blue Black Blue Black Blue\nBlue Black Black Black Black Black Blue Blue Black Blue Blue Black Black Blue Blue Black Black Blue Black Blue Blue Blue Blue Black\nBlue Black Blue Black Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Black Blue Blue Black Black Black Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black Blue Black Black Blue Black Blue Blue Blue Blue Black Black Black\nBlue Blue Black Black Black Blue Black Blue Black Black Blue Black Blue Black Black Black Black Black Blue Black Blue Blue Black Black\nBlack Blue Blue Black Black Black Black Blue Black Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black\nBlue Black Black Black Black Black Black Blue Black Blue Blue Black Black Black Blue Black Black Blue Black Black Black Blue Black Black\nBlue Black Black Black Black Black Black Black Black Blue Black Blue Black Black Blue Black Black Black Black Blue Black Black Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Blue Blue Blue Blue Black Blue Black Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Blue Blue Blue Black Blue Black Blue Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Blue Black Black Blue Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Blue Black Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Blue Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black Blue Orange Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Blue Blue Black Blue Black Black Black Black Black Black Black Orange Orange Black Black Black Blue\nBlue Blue Blue Black Black Blue Black Black Blue Blue Black Black Black Black Black Black Black Blue Orange Orange Orange Black Blue Black\nBlue Blue Blue Black Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue Black Blue Orange Orange Orange Orange Blue Black\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue\nBlack Black Blue Blue Blue Black Black Black Black Black Blue Black Black Black Blue Black Blue Black Orange Orange Orange Orange Orange Blue\nBlack Blue Blue Black Blue Blue Black Blue Black Black Black Blue Black Black Blue Black Blue Black Orange Orange Orange Orange Orange Black\nBlack Blue Black Black Black Black Blue Black Black Blue Blue Black Black Black Blue Black Black Blue Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Blue Black Orange Orange Orange Orange Orange Black\nBlack Black Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Black Blue Blue Black Blue Blue\nBlue Blue Blue Black Blue Black Blue Black Blue Blue Blue Blue Black Black Blue Blue Black Blue Black Blue Black Blue Black Blue\nBlue Black Black Black Black Black Blue Blue Black Blue Blue Black Black Blue Blue Black Black Blue Black Blue Blue Blue Blue Black\nBlue Black Blue Black Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Black Blue Blue Black Black Black Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black Blue Black Black Blue Black Blue Blue Blue Blue Black Black Black\nBlue Blue Black Black Black Blue Black Blue Black Black Blue Black Blue Black Black Black Black Black Blue Black Blue Blue Black Black\nBlack Blue Blue Black Black Black Black Blue Black Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black\nBlue Black Black Black Black Black Black Blue Black Blue Blue Black Black Black Blue Black Black Blue Black Black Black Blue Black Black\nBlue Black Black Black Black Black Black Black Black Blue Black Blue Black Black Blue Black Black Black Black Blue Black Black Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple 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 Pink Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Pink Pink Pink Black Gray Gray Gray Gray Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\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 Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\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 Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray 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\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 Black Black Black Black Black Black Black Black Black Black Black 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 Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 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 Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 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 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\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 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 Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Brown Brown Brown 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\nGreen Green 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 Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Green Brown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Brown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Brown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Brown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Brown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Brown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Brown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Brown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Brown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nGreen Green 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 Green Green Green Green Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green 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 Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack 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\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:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red 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 Red Red Red Red Red 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 Red Red Red Red Red 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 Red Red Red Red Red 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 Red Red Red Red Red 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 Red Red Red Red Red 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 Red Red Red Red Red 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 Red Red Red Red Red 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 Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Yellow Black Black Black Brown Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Brown Brown Brown Green Green\nGreen Green Green Green Green Brown Brown Brown Green Green\nGreen Green Green Green Brown Brown Brown Brown Green Green\nGreen Green Yellow Green Green Green Brown Green Green Green\nGreen Green Yellow Green Green Green Green Green Green Green\nYellow Yellow Yellow Green Green Blue Green Green Green Green\nGreen Green Green Green Green Blue Green Green Green Green\nGreen Green Green Blue Blue Blue Green Green Green Green\n\n\nExample 2\nInput:\nPurple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Pink Pink Black\nBlack Black Purple Black Black Black Black Pink Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Orange Black Green Black Black Black Black\nBlack Black Black Orange Black Green Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Red Red Red Red Red Red\nRed Red Purple Purple Red Red Red Pink Pink Red\nRed Red Purple Red Red Red Red Pink Red Red\nRed Red Purple Red Red Red Red Red Red Red\nRed Red Red Red Red Green Green Green Red Red\nRed Red Red Orange Red Green Red Red Red Red\nRed Red Red Orange Red Green Red Red Red Red\nRed Red Orange Orange Red Red Red Red Red Red\nOrange Orange Orange Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Gray Black Black Black Black Black Yellow Black Black\nGray Gray Black Black Black Yellow Yellow Yellow Black Black\nBlack Gray Gray Gray Black Yellow Black Black Black Black\nBlack Black Gray Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Green Green Black\nBlack Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Pink Black\nBlack Black Black Black Blue Blue Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Gray Red Red Red Red Red Yellow Red Red\nGray Gray Red Red Red Yellow Yellow Yellow Red Red\nRed Gray Gray Gray Red Yellow Red Red Red Red\nRed Red Gray Red Red Red Red Red Green Red\nRed Red Red Red Red Red Red Green Green Red\nRed Red Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Blue Blue Red Red Red Red\nRed Red Red Blue Blue Blue Red Red Pink Red\nRed Red Red Red Blue Blue Red Red Pink Pink\nRed Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Gray Black Black 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 Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green\nGreen Brown Green Green Green Green Green Green Green Green\nGreen Brown Green Green Green Green Green Green Green Green\nBrown Brown Brown Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Green Green Green\nGreen Green Green Green Green Red Red Green Green Green\nGreen Green Gray Green Green Green Green Green Green Green\nGreen Green Gray Gray Gray Green Green Green Green Green\nGreen Green Green Gray Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Blue Blue Black Black Green Green Black\nBlack Black Black Blue Blue Black Black Green Green Black\nBlack Black Black Green Green Black Black Green Green Black\nPurple Gray Purple Black Black Black Black Yellow Yellow Black\nPurple Pink Purple Black Brown Black Brown Brown Black Black\nPurple Black Purple Black Brown Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Brown Black Black\nBlack Black Black Black Brown Brown Black Brown 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 Red Red Black Black Red Red Black\nBlack Black Black Red Red Black Black Red Red Black\nBlack Black Black Red Red Black Black Red Red Black\nYellow Yellow Yellow Black Black Black Black Red Red Black\nYellow Yellow Yellow Black Red Black Red Red Black Black\nYellow Black Yellow Black Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Red Red Black Red 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 Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Blue Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Pink Orange Pink Pink Pink Orange Orange\nBlack Black Black Pink Pink Pink Pink Pink Red Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Gray Brown Brown Gray 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 Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Red Red\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Red Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Yellow Red Red Yellow Black\n\n\nExample 3\nInput:\nBlack Black Black Blue Purple Purple Pink Black Black Black\nBlack Black Black Black Pink Pink Yellow Black Black Black\nBlack Black Black Black Gray Green Pink Black Black Black\nBlack Black Black Black Gray Black Pink Black Black Black\nBlack Black Black Black Black Black Blue Orange Black Black\nBlack Black Black Black Black Black Black Purple Black Black\nGray Gray Green Blue Black Black Black Purple Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Red Red Yellow Black Black Black\nBlack Black Black Black Red Red Yellow Black Black Black\nBlack Black Black Black Red Yellow Red Black Black Black\nBlack Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Red Black Black\nRed Red Yellow Yellow Black Black Black Red Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Red Red 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 Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Green Black Black\nBlack Black Red Black Black\nPink Yellow Pink Green Pink\nBlack Black Blue Black Black\nBlack Black Purple Black Black\n\nOutput:\nBlack Black Green Black Black\nBlack Black Green Black Black\nGreen Green Green Green Green\nBlack Black Green Black Black\nBlack Black Green Black Black\n\n\nExample 2\nInput:\nBlack Black Blue Black Black\nBlack Black Green Black Black\nGreen Yellow Pink Yellow Green\nBlack Black Red Black Black\nBlack Black Purple Black Black\n\nOutput:\nBlack Black Green Black Black\nBlack Black Green Black Black\nGreen Green Green Green Green\nBlack Black Green Black Black\nBlack Black Green Black Black\n\n\nExample 3\nInput:\nBlack Black Pink Black Black\nBlack Black Blue Black Black\nPurple Red Pink Yellow Green\nBlack Black Blue Black Black\nBlack Black Purple Black Black\n\nOutput:\nBlack Black Green Black Black\nBlack Black Green Black Black\nGreen Green Green Green Green\nBlack Black Green Black Black\nBlack Black Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Green Black Black\nBlack Black Pink Black Black\nPink Pink Red Blue Purple\nBlack Black Purple Black Black\nBlack Black Yellow Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Black Black\nBlack Black Blue Black Black\nBlue Blue Blue Blue Blue\nBlack Black Blue Black Black\nBlack Black Blue Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green\nGreen Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green\nGreen Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green\nGreen Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green\nGreen Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green\nGreen Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green Green Green Green\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green Green Green\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\nBlue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue\n\n\nExample 3\nInput:\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\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\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\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\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\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\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\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\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\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\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\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue 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\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\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\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\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\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\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\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\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\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\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\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\n\nOutput:\nBlue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue\nPurple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Purple Purple Purple Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue Purple Purple Purple\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue\nBlue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Pink Black Purple Black Black\nBlack Black Green Black Black Black Black Brown Black Black Black Black\nOrange Yellow Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Blue Black Gray Black Black Purple Pink Black Black Black\nBlack Brown Black Black Black Black Black Orange Purple Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Brown Purple Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBrown Brown Purple Black Brown Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Gray Purple Brown Black Black\nBlack Black Black Black Black Black Black Purple Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Purple Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Yellow Gray Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Brown Brown 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 Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOrange Black Black Black Brown Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Purple Black Black\nBlack Black Black Gray Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Gray Black Black Black\nBlack Black Purple Brown Black Black Black Black Black\nBlack Black Black Black Purple Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Yellow\nBlack Black Black Black Black Blue 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 Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green\nBlue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray\nGreen Green Green Green Green Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Red Red Red Red Red\nGreen Green Green Green Green Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Red Red Red Red Red\nGreen Green Green Green Green Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Red Red Red Red Red\nGreen Green Green Green Green Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Red Red Red Red Red\nGreen Green Green Green Green Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Red Red Red Red Red\nRed Red Red Red Red Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Gray Gray Gray Gray Gray\nRed Red Red Red Red Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Gray Gray Gray Gray Gray\nRed Red Red Red Red Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Gray Gray Gray Gray Gray\nRed Red Red Red Red Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Gray Gray Gray Gray Gray\nRed Red Red Red Red Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green Gray Gray Gray Gray Gray\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Blue Blue Blue Blue Blue Green Green Green Green Green Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Green Green Green Green Green\nRed Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Green Green Green Green Green\nRed Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Green Green Green Green Green\nRed Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Green Green Green Green Green\nRed Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Red Red Red Red Red Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Red Red Red Red Red Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Red Red Red Red Red Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Red Red Red Red Red Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Red Red Red Red Red Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Gray Gray Gray Gray Gray Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Gray Gray Gray Gray Gray Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Gray Gray Gray Gray Gray Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Gray Gray Gray Gray Gray Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Gray Gray Gray Gray Gray Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue 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\nBlue Blue Blue Blue Blue 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\nBlue Blue Blue Blue Blue 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\nBlue Blue Blue Blue Blue 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\nBlue Blue Blue Blue Blue 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\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue\nGreen Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Green Green Green Green Green Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Green Green Green Green Green Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Green Green Green Green Green Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Green Green Green Green Green Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Green Green Green Green Green Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue\nGreen Green Green Green Green Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Red Red Red Red Red\nGreen Green Green Green Green Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Red Red Red Red Red\nGreen Green Green Green Green Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Red Red Red Red Red\nGreen Green Green Green Green Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Red Red Red Red Red\nGreen Green Green Green Green Gray Gray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Red Red Red Red Red\n\nOutput:\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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:\nGray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray Green Green Green Green Green Red Red Red Red Red Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray Green Green Green Green Green Red Red Red Red Red Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray Green Green Green Green Green Red Red Red Red Red Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray Green Green Green Green Green Red Red Red Red Red Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Red Red Red Red Red Gray Gray Gray Gray Gray Green Green Green Green Green Red Red Red Red Red Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Red Red Red Red Red\nGray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green\nBlue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green\nBlue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green\nBlue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green\nBlue Blue Blue Blue Blue Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green\nGray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray\nGreen Green Green Green Green Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Blue Blue Blue Blue Blue\nGreen Green Green Green Green Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Blue Blue Blue Blue Blue\nGreen Green Green Green Green Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Blue Blue Blue Blue Blue\nGreen Green Green Green Green Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Blue Blue Blue Blue Blue\nGreen Green Green Green Green Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Red Red Red Red Red Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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:\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\n\nOutput:\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\nBlue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray\nGray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue Gray Blue\n\n\nExample 2\nInput:\nGray Red Gray Red Gray Red Gray\nRed Gray Red Gray Red Gray Red\nGray Red Gray Red Gray Red Gray\nRed Gray Red Gray Red Gray Red\nGray Red Gray Red Gray Red Gray\nRed Gray Red Gray Red Gray Red\nGray Red Gray Red Gray Red Gray\n\nOutput:\nRed Gray Red Gray Red Gray Red\nGray Red Gray Red Gray Red Gray\nRed Gray Red Gray Red Gray Red\nGray Red Gray Red Gray Red Gray\nRed Gray Red Gray Red Gray Red\nGray Red Gray Red Gray Red Gray\nRed Gray Red Gray Red Gray Red\n\n\nExample 3\nInput:\nBrown Red Brown Red Brown Red Brown\nRed Brown Red Brown Red Brown Red\nBrown Red Brown Red Brown Red Brown\nRed Brown Red Brown Red Brown Red\nBrown Red Brown Red Brown Red Brown\nRed Brown Red Brown Red Brown Red\nBrown Red Brown Red Brown Red Brown\n\nOutput:\nRed Brown Red Brown Red Brown Red\nBrown Red Brown Red Brown Red Brown\nRed Brown Red Brown Red Brown Red\nBrown Red Brown Red Brown Red Brown\nRed Brown Red Brown Red Brown Red\nBrown Red Brown Red Brown Red Brown\nRed Brown Red Brown Red Brown Red\n\n\nHere is the input grid for the test example:\nInput:\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBrown Brown Black Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Black Brown Black Brown Brown Brown Black Black Black Black Black Black\nBrown Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Black Brown Black Black Black Black Black Black\nBlack Brown Black Brown Black Brown Black Black Black Black Black Black Black\nBrown Brown Brown Black Brown Brown Brown 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\nBrown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Black Brown Brown Brown Black Black Black Black Black Black\nBrown Black Black Black Black Black Brown Black Black Black Black Black Black\nBrown Black Brown Black Brown Black Brown Black Black Black Black Black Black\nBlack Brown Black Brown Black Brown Black Black Black Black Black Black Black\nBrown Brown Brown Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Black Green Black\nBlack Black Black Black Black Black Black Black Green Green Black Green\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Gray Black Gray Black Black Black Black\nBlack Black Gray Black Gray Black Gray Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Black Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Gray Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Black Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Black Red Red Black Red Black Black Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Black Red Black Red Red Red Black\nBlack Black Black Black Red Red Red Black Red Black Red Black Red Red\nBlack Black Black Black Black Black Black Red Black Red Red Red Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Black Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Black Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Black Red Red Black Red Red Black Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Black Red Black Red Red Red Black\nBlack Black Black Red Red Red Red Black Red Black Red Red Red Red\nBlack Black Black Black Black Red Red Red Black 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:\nPink Pink Pink\nPink Pink Pink\nPink Pink Pink\nPink Pink Pink\n\nOutput:\nPink Pink Pink\nPink Pink Pink\nPink Pink Pink\nPink Pink Pink\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\n\n\nExample 2\nInput:\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nOrange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\n\nExample 3\nInput:\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\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:\nPink Pink\nPink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink\nPink Pink\nBlack Black\nBlack 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 Yellow Black Purple Black Black Black Purple\nBlack Black Gray Brown Black Black Black Black Gray Black\nBlack Blue Purple Yellow Black Black Blue Black Black Black\nBlack Brown Black Yellow Brown Black Blue Black Gray Black\nBlack Brown Purple Black Black Yellow Black Black Black Black\nBlack Purple Black Black Gray Black Black Black Black Black\nBlue Black Yellow Black Gray Black Purple Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Gray Gray Black Black\n\nOutput:\nBlack Black Green Red Black Orange Black Black Black Orange\nBlack Black Green Brown Black Black Black Black Green Black\nBlack Yellow Orange Red Black Black Yellow Black Black Black\nBlack Brown Black Red Brown Black Yellow Black Green Black\nBlack Brown Orange Black Black Red Black Black Black Black\nBlack Orange Black Black Green Black Black Black Black Black\nYellow Black Red Black Green Black Orange Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Green Green Black Black\n\n\nExample 2\nInput:\nBlack Gray Black Black Black Black Black Black Black Black\nGreen Black Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Pink Pink Black Black Pink Black\nGreen Purple Black Black Gray Black Gray Black Black Pink\nPink Black Black Gray Black Black Black Purple Black Pink\nBlack Orange Black Black Black Gray Pink Black Green Black\nBlack Black Black Black Black Black Purple Black Black Green\nPurple Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Gray Black Black Green Black Black\nBlack Black Pink Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Black Black Black Black Black Black Black Black\nGray Black Purple Black Black Black Black Black Black Black\nBlack Purple Black Black Gray Gray Black Black Gray Black\nGray Orange Black Black Green Black Green Black Black Gray\nGray Black Black Green Black Black Black Orange Black Gray\nBlack Purple Black Black Black Green Gray Black Gray Black\nBlack Black Black Black Black Black Orange Black Black Gray\nOrange Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Green Black Black Gray Black Black\nBlack Black Gray Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPink Black Black Green Yellow Black Black Gray Black Green\nBlack Yellow Black Black Green Black Yellow Pink Black Black\nGreen Black Black Black Gray Black Black Black Green Black\nBlack Black Black Black Black Pink Yellow Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlue Black Black Pink Black Black Black Black Gray Blue\nBlack Black Pink Black Black Yellow Blue Black Black Blue\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Green Yellow Black Yellow Black Yellow Black Pink\n\nOutput:\nGray Black Black Gray Red Black Black Green Black Gray\nBlack Red Black Black Gray Black Red Gray Black Black\nGray Black Black Black Green Black Black Black Gray Black\nBlack Black Black Black Black Gray Red Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nYellow Black Black Gray Black Black Black Black Green Yellow\nBlack Black Gray Black Black Red Yellow Black Black Yellow\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Gray Red Black Red Black Red Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Black Red Black Black Brown Red\nBlack Brown Black Brown Black Black Purple Gray Black Black\nBlack Blue Purple Brown Black Black Gray Black Black Black\nBrown Red Black Black Brown Red Black Black Black Blue\nBlack Black Black Gray Red Black Black Black Blue Brown\nBlack Black Black Black Black Blue Black Black Black Blue\nBlack Black Black Black Red Black Black Gray Black Black\nBlack Black Purple Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black 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```\nOrange Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Brown Yellow\nBlack Brown Black Brown Black Black Orange Green Black Black\nBlack Yellow Orange Brown Black Black Green Black Black Black\nBrown Yellow Black Black Brown Yellow Black Black Black Yellow\nBlack Black Black Green Yellow Black Black Black Yellow Brown\nBlack Black Black Black Black Yellow Black Black Black Yellow\nBlack Black Black Black Yellow Black Black Green Black Black\nBlack Black Orange Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Black Pink Red Black Black Black Black Black Black\nBlack Orange Black Brown Black Black Black Orange Yellow Red\nPurple Black Black Black Blue Black Black Black Pink Black\nOrange Black Black Gray Black Black Yellow Black Black Black\nBlack Black Black Red Black Black Black Purple Orange Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Orange Yellow Black Orange Black Pink Black Black Purple\nBlack Black Black Orange Black Black Purple Black Black Black\nBlack Black Black Orange Black Black Orange Blue Black Yellow\nBlack Pink Black Black Black Black Black Gray Black Black\n\nOutput:\nPink Pink Black Black Pink Pink Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Brown Brown Black Black Black Black Black Black Orange Orange Yellow Yellow Blue Blue\nBlack Black Orange Orange Black Black Brown Brown Black Black Black Black Black Black Orange Orange Yellow Yellow Blue Blue\nPurple Purple Black Black Black Black Black Black Green Green Black Black Black Black Black Black Pink Pink Black Black\nPurple Purple Black Black Black Black Black Black Green Green Black Black Black Black Black Black Pink Pink Black Black\nOrange Orange Black Black Black Black Gray Gray Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nOrange Orange Black Black Black Black Gray Gray Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Purple Purple Orange Orange Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Purple Purple Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Yellow Yellow Black Black Orange Orange Black Black Pink Pink Black Black Black Black Purple Purple\nBlack Black Orange Orange Yellow Yellow Black Black Orange Orange Black Black Pink Pink Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Green Green Black Black Yellow Yellow\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Green Green Black Black Yellow Yellow\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\n\n\nExample 2\nInput:\nBlack Blue Green Yellow Black Black Black Blue Pink Orange\nBlack Black Purple Black Black Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Purple Black\nBlack Green Pink Green Black Black Black Black Black Black\nBlack Green Pink Black Black Black Black Blue Black Black\nBlack Brown Black Black Purple Yellow Black Black Black Red\nBlack Gray Pink Black Black Black Yellow Black Black Black\nBlack Black Black Black Purple Black Black Black Blue Purple\nBrown Brown Black Purple Black Black Pink Black Yellow Black\nOrange Black Red Black Red Black Black Black Black Black\n\nOutput:\nBlack Black Green Green Red Red Yellow Yellow Black Black Black Black Black Black Green Green Pink Pink Orange Orange\nBlack Black Green Green Red Red Yellow Yellow Black Black Black Black Black Black Green Green Pink Pink Orange Orange\nBlack Black Black Black Purple Purple Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Red Red Pink Pink Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Pink Pink Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Pink Pink Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Red Red Pink Pink Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Purple Purple Yellow Yellow Black Black Black Black Black Black Blue Blue\nBlack Black Brown Brown Black Black Black Black Purple Purple Yellow Yellow Black Black Black Black Black Black Blue Blue\nBlack Black Gray Gray Pink Pink Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Gray Gray Pink Pink Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Green Green Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Green Green Purple Purple\nBrown Brown Brown Brown Black Black Purple Purple Black Black Black Black Pink Pink Black Black Yellow Yellow Black Black\nBrown Brown Brown Brown Black Black Purple Purple Black Black Black Black Pink Pink Black Black Yellow Yellow Black Black\nOrange Orange Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Pink Black Pink Black Black\nGreen Yellow Black Black Black Gray Black Brown Yellow Gray\nBlack Green Black Black Black Black Black Black Brown Yellow\nGray Black Black Gray Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Brown Black Black Black Orange Black\nBlack Black Red Black Blue Pink Gray Black Black Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black\nRed Red Yellow Yellow Black Black Black Black Black Black Gray Gray Black Black Brown Brown Yellow Yellow Gray Gray\nRed Red Yellow Yellow Black Black Black Black Black Black Gray Gray Black Black Brown Brown Yellow Yellow Gray Gray\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow\nGray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Gray Gray 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 Purple Purple Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange 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\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Blue Blue Black Black Green Green Pink Pink Gray Gray Black Black Black Black Yellow Yellow\nBlack Black Black Black Blue Blue Black Black Green Green Pink Pink Gray Gray Black Black Black Black Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGreen Gray Black Pink Black Black Black Green Black Black\nGray Black Black Black Black Black Black Red Black Black\nBlack Black Red Pink Black Black Black Pink Purple Blue\nOrange Black Yellow Gray Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Brown Black\nBlack Yellow Black Black Blue Black Black Black Black Orange\nBlack Purple Black Black Black Black Brown Black Black Blue\nBlack Black Black Black Black Black Green Black Green Black\nOrange Black Purple Black Black Black Black Black Blue Black\nBlack Gray Black Black Black Black Gray Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Gray Gray Black Black Pink Pink Black Black Black Black Black Black Red Red Black Black Black Black\nRed Red Gray Gray Black Black Pink Pink Black Black Black Black Black Black Red Red Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Pink Pink Purple Purple Green Green\nBlack Black Black Black Blue Blue Pink Pink Black Black Black Black Black Black Pink Pink Purple Purple Green Green\nOrange Orange Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Green Green\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Green Green\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\nOrange Orange Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nOrange Orange Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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\nYellow Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Yellow\nYellow Black Purple Purple Purple Black Black Yellow\nYellow Black Purple Purple Purple Black Black Yellow\nYellow Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\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 Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green\nGreen Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Green\nGreen Black Black Pink Pink Black Black Green\nGreen Black Black Pink Pink Black Black Green\nGreen Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green\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:\nGreen Green Green Green Green Green Green Green\nGreen Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Green\nGreen Black Black Orange Orange Black Black Green\nGreen Black Black Orange Orange Black Black Green\nGreen Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green\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\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Black Gray\nGray Black Gray Gray Gray Black Black Gray\nGray Black Gray Gray Gray Black Black Gray\nGray Black Gray Gray Gray Black Black Gray\nGray Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray 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:\nOrange Pink Yellow Pink Brown Purple Gray Pink\nOrange Pink Yellow Pink Brown Purple Gray Pink\nOrange Pink Yellow Pink Brown Purple Gray Pink\nOrange Pink Yellow Pink Brown Purple Gray Pink\nOrange Pink Yellow Pink Brown Purple Gray Pink\nOrange Pink Yellow Pink Brown Purple Gray Pink\nOrange Pink Yellow Pink Brown Purple Gray Pink\nOrange Pink Yellow Pink Brown Purple Gray Pink\nOrange Pink Yellow Pink Brown Purple Gray Pink\nOrange Pink Yellow Pink Brown Purple Gray Pink\nOrange Pink Yellow Pink Brown Purple Gray Pink\nOrange Pink Yellow Pink Brown Purple Gray Pink\n\nOutput:\nOrange Pink Black Pink Brown Purple Gray Pink\nOrange Pink Black Pink Brown Purple Gray Pink\nOrange Pink Black Pink Brown Purple Gray Pink\nOrange Pink Black Pink Brown Purple Gray Pink\nOrange Pink Black Pink Brown Purple Gray Pink\nOrange Pink Black Pink Brown Purple Gray Pink\nOrange Pink Black Pink Brown Purple Gray Pink\nOrange Pink Black Pink Brown Purple Gray Pink\nOrange Pink Black Pink Brown Purple Gray Pink\nOrange Pink Black Pink Brown Purple Gray Pink\nOrange Pink Black Pink Brown Purple Gray Pink\nOrange Pink Black Pink Brown Purple Gray Pink\n\n\nExample 2\nInput:\nOrange Yellow Blue Red Green Pink Blue\nOrange Yellow Blue Red Green Pink Blue\nOrange Yellow Blue Red Green Pink Blue\nOrange Yellow Blue Red Green Pink Blue\nOrange Yellow Blue Red Green Pink Blue\nOrange Yellow Blue Red Green Pink Blue\nOrange Yellow Blue Red Green Pink Blue\nOrange Yellow Blue Red Green Pink Blue\nOrange Yellow Blue Red Green Pink Blue\nOrange Yellow Blue Red Green Pink Blue\n\nOutput:\nOrange Black Blue Green Red Pink Blue\nOrange Black Blue Green Red Pink Blue\nOrange Black Blue Green Red Pink Blue\nOrange Black Blue Green Red Pink Blue\nOrange Black Blue Green Red Pink Blue\nOrange Black Blue Green Red Pink Blue\nOrange Black Blue Green Red Pink Blue\nOrange Black Blue Green Red Pink Blue\nOrange Black Blue Green Red Pink Blue\nOrange Black Blue Green Red Pink Blue\n\n\nExample 3\nInput:\nGray Brown Yellow Yellow Red Green Blue\nGray Brown Yellow Yellow Red Green Blue\nGray Brown Yellow Yellow Red Green Blue\nGray Brown Yellow Yellow Red Green Blue\nGray Brown Yellow Yellow Red Green Blue\nGray Brown Yellow Yellow Red Green Blue\nGray Brown Yellow Yellow Red Green Blue\nGray Brown Yellow Yellow Red Green Blue\nGray Brown Yellow Yellow Red Green Blue\nGray Brown Yellow Yellow Red Green Blue\nGray Brown Yellow Yellow Red Green Blue\n\nOutput:\nGray Brown Black Black Green Red Blue\nGray Brown Black Black Green Red Blue\nGray Brown Black Black Green Red Blue\nGray Brown Black Black Green Red Blue\nGray Brown Black Black Green Red Blue\nGray Brown Black Black Green Red Blue\nGray Brown Black Black Green Red Blue\nGray Brown Black Black Green Red Blue\nGray Brown Black Black Green Red Blue\nGray Brown Black Black Green Red Blue\nGray Brown Black Black Green Red Blue\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Gray Red Pink Brown Gray Brown Blue Pink\nPink Gray Red Pink Brown Gray Brown Blue Pink\nPink Gray Red Pink Brown Gray Brown Blue Pink\nPink Gray Red Pink Brown Gray Brown Blue Pink\nPink Gray Red Pink Brown Gray Brown Blue Pink\nPink Gray Red Pink Brown Gray Brown Blue Pink\nPink Gray Red Pink Brown Gray Brown Blue Pink\nPink Gray Red Pink Brown Gray Brown Blue Pink\nPink Gray Red Pink Brown Gray Brown Blue Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 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 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple 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 Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 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 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple 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\nBlack Pink Black Black Black Black\nBlack Pink Black Black Black Black\nBlack Pink Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink Pink Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Blue Blue Black Black\nBlack Black Blue Blue Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Blue\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Gray Gray Gray Black\nBlack Gray Gray Gray Black\nBlack Gray Gray Gray Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Gray Gray\nBlack Black Black Gray Gray\nBlack Black Black 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 Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Green Green Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Green Green Green\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black 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 Pink Pink Pink Black Black\nBlack Black Black Black Black Black Orange Orange Pink Pink Pink Black Black\nBlack Black Black Black Black Black Orange Orange Green Pink Pink Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack 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\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black\nRed Red Red Black Gray Gray Gray Gray Gray Black Black Black\nRed Red Red Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Brown Black Black Red Black Black\nBlack Black Pink Pink Pink Black Brown Black Black Red Black Black\nBlack Black Pink Pink Pink Black Black Black Black Red Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Orange Orange Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Orange Orange Black\nBlack Black Black Black Orange Orange Black Black Black Orange Orange Black\nBlack Black Blue Blue Orange Orange Black Black Black Black Black Black\nBlack Black Blue Blue Orange Orange Black Orange Black Black Black Black\nBlack Black Blue Blue Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray 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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Yellow Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Yellow Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Blue Blue Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Brown Brown Black Pink Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray 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 Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Yellow Blue Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nPink Gray Orange Gray Green Black Black Black Orange Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Yellow Gray Black Black Black Black Black Red Black Black Black Black Pink Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Gray Red Purple Gray Blue Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Purple Blue Brown Purple Yellow Black Black Black\nBlack Black Black Black Green Brown Purple Black Black Black Black Purple Orange Brown Red Pink Blue Green Black Black\nBlack Black Black Green Brown Green Pink Gray Black Black Black Black Green Purple Green Yellow Brown Black Black Black\nBlack Black Black Black Orange Yellow Yellow Black Black Black Black Black Gray Green Pink Blue Orange Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Orange Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Pink Yellow Gray Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Gray Gray Green Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Blue Orange Gray Red Brown Brown Black Orange Black Black Black\nBlack Black Black Gray Black Black Black Black Black Green Red Gray Green Green Blue Yellow Red Purple Green Black\nBlack Brown Purple Pink Red Orange Black Black Black Yellow Yellow Orange Brown Purple Green Yellow Brown Orange Pink Black\nBlack Blue Orange Pink Purple Yellow Black Black Black Black Black Orange Black Orange Purple Green Red Green Blue Red\nPurple Red Brown Brown Brown Gray Yellow Black Black Black Black Black Black Black Pink Orange Brown Gray Red Black\nBlack Red Red Purple Pink Blue Black Black Black Black Black Black Black Black Pink Blue Blue Brown Red Black\nBlack Purple Orange Purple Brown Green Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Gray 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 Pink Gray Orange Gray Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Yellow Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Brown Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Brown Green Pink Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Orange Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Orange Brown Yellow Pink Blue Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Purple Green Yellow Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Green Pink Blue Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Pink Yellow Gray Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Gray Gray Green Blue Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Gray Blue Orange Gray Red Brown Brown Black Orange Black Black\nBlack Brown Purple Pink Red Orange Black Black Black Black Green Red Gray Green Green Blue Yellow Red Purple Green\nBlack Blue Orange Pink Purple Yellow Black Black Black Black Yellow Yellow Orange Brown Purple Green Yellow Brown Orange Pink\nPurple Red Brown Brown Brown Gray Yellow Black Black Black Black Black Orange Black Orange Purple Green Red Green Blue\nBlack Red Red Purple Pink Blue Black Black Black Black Black Black Black Black Black Pink Orange Brown Gray Red\nBlack Purple Orange Purple Brown Green Black Black Black Black Black Black Black Black Black Pink Blue Blue Brown Red\nBlack Black Black Gray 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 Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Brown Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Green Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Yellow Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Pink Brown Black Black Brown Pink Yellow Pink Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Purple Red Brown Purple Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Red Pink Red Orange Brown Yellow\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray Green Green Red Yellow Black\nBlack Black Black Black Black Black Green Pink Pink Orange Purple Black Black Black Pink Red Brown Blue Brown Black\nBlack Black Black Black Black Black Yellow Green Brown Purple Blue Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Green Blue Green Red Brown Brown Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Blue Gray Yellow Blue Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Orange Brown Red Pink Blue Yellow Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Brown Black Blue Purple Gray Red Yellow Black Green Black Black Black\nBlack Black Black Black Black Gray Green Pink Black Black Black Brown Purple Gray Black Orange Pink Blue Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Purple Black Gray Red Orange Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Pink Pink Orange Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Green Brown Purple Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Blue Green Red Brown Brown Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Blue Gray Yellow Blue Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Orange Brown Red Pink Blue Yellow Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Brown Black Blue Purple Gray Red Yellow Black Green Black Black Black\nBlack Black Black Black Black Gray Green Pink Black Black Black Brown Purple Gray Black Orange Pink Blue Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Purple Black Gray Red Orange Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Purple Gray Yellow Black Black Black Black Black Black Black Black Black Brown Brown Purple Black\nBlack Black Black Red Red Pink Yellow Purple Black Black Black Black Black Black Black Green Yellow Brown Yellow Yellow\nBlack Black Black Black Green Pink Brown Black Black Black Black Black Black Black Black Black Blue Red Red Black\nBlack Black Black Black Black Yellow 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 Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Red Brown Blue Yellow Black Black Black Black Black Pink Orange Blue Black Black Black\nBlack Black Black Black Blue Purple Green Orange Green Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Purple Blue Pink Pink Pink Pink Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Brown Red Gray Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Orange Green Yellow Orange Yellow Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Brown Black Yellow Green Orange Black Black Black Black Green Brown Red Black Black\nBlack Black Black Black Black Black Black Orange Yellow Pink Red Gray Orange Black Black Black Brown Black Green Black\nBlack Black Black Black Black Black Black Black Blue Brown Pink Blue Purple Green Black Black Black Red Brown Red\nBlack Black Black Black Black Black Black Black Black Orange Brown Blue Blue Orange Brown Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Orange Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Purple Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Red Brown Blue Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Purple Green Orange Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Blue Pink Pink Pink Pink Green Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Orange Brown Red Gray Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Orange Green Yellow Orange Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Yellow Green Orange Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Yellow Pink Red Gray Orange Blue Purple Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Brown Pink Blue Purple Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Brown Blue Blue Orange Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Orange Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Red Green Yellow Blue Blue Green Black Black Black\nBlack Black Black Gray Brown Gray Red Green Black Black Black Black Red Blue Purple Gray Red Blue Black Black\nBlack Black Black Yellow Green Pink Pink Purple Black Black Black Black Black Yellow Black Black Purple Orange Black Black\nBlack Black Gray Red Orange Yellow Yellow Gray Orange Black Black Black Black Black Black Black Orange Purple Red Black\nBlack Black Black Green Blue Yellow Green Yellow Black Black Black Black Black Black Green Purple Green Pink Yellow Orange\nBlack Black Black Yellow Orange Gray Yellow Yellow Black Black Black Black Black Purple Purple Orange Purple Red Brown Black\nBlack Black Black Yellow Black Red Black Black Black Black Blue Black Red Pink Blue Purple Purple Gray Black Black\nBlack Green Blue Green Brown Orange Black Black Black Brown Gray Red Black Orange Red Red Black Black Black Black\nBlack Pink Orange Green Gray Gray Black Black Red Blue Red Yellow Blue Black Red Black Black Black Black Black\nGreen Purple Yellow Blue Pink Yellow Pink Black Black Purple Red Yellow Pink Black Black Black Black Black Black Black\nBlack Purple Purple Orange Brown Brown Black Gray Black Black Blue Pink Purple Blue Black Black Black Black Black Black\nBlack Red Orange Gray Green Gray Gray Brown Red Black Yellow Gray Blue Blue Red Purple Black Black Black Black\nBlack Black Black Yellow Black Black Black Gray Black Black Black Purple Blue Red Pink Gray Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Yellow Green Yellow Gray Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Brown Red Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Green Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Orange Purple Yellow Black Black Gray Yellow Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Brown 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 Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Gray Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Gray Brown Gray Red Green Red Green Yellow Blue Blue Green Black\nBlack Black Black Black Black Black Black Black Yellow Green Pink Pink Purple Black Red Blue Purple Gray Red Blue\nBlack Black Black Black Black Black Black Gray Red Orange Yellow Yellow Gray Orange Black Yellow Black Black Purple Orange\nBlack Black Black Black Black Black Black Black Green Blue Yellow Green Yellow Black Black Black Black Black Orange Purple\nBlack Black Black Black Black Black Black Black Yellow Orange Gray Yellow Yellow Black Black Black Green Purple Green Pink\nBlack Black Black Black Black Black Black Black Yellow Black Red Black Black Black Black Purple Purple Orange Purple Red\nBlack Black Black Black Black Black Green Blue Green Brown Orange Black Blue Black Red Pink Blue Purple Purple Gray\nBlack Black Black Black Black Black Pink Orange Green Gray Gray Brown Gray Red Black Orange Red Red Black Black\nBlack Black Black Black Black Green Purple Yellow Blue Pink Yellow Pink Red Yellow Blue Black Red Black Black Black\nBlack Black Black Black Black Black Purple Purple Orange Brown Brown Purple Gray Yellow Pink Black Black Black Black Black\nBlack Black Black Black Black Black Red Orange Gray Green Gray Gray Brown Red Purple Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Gray Gray Blue Blue Red Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Purple Blue Red Pink Gray Brown Black\nBlack Black Black Black Black Brown Black Black Black Gray Yellow Blue Black Black Green Yellow Green Yellow Gray Orange\nBlack Black Black Black Orange Purple Yellow Black Black Black Brown Black Black Black Black Black Green Brown Red Black\nBlack Black Black Black Black Blue 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 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 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\nPurple Purple Purple Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlue Blue Blue Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown 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 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray 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 Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue\nGray Gray Gray Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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\nPurple Purple Purple Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlue Blue Blue Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Black Black Black Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray 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 Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nGray Gray Gray Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green 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 Green Green Green 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green 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 Green Green Green 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 Green Green Green Black Black Black 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 Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Red Red Red Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Red Red Red Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Red Red Red Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Purple Purple Purple Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Purple Purple Purple Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Purple Purple Purple Green Green Green 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 Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green 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 Green Green Green 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green 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 Green Green Green 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 Green Green Green Black Black Black 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 Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Pink Pink Pink Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Red Red Red Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Red Red Red Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Red Red Red Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Purple Purple Purple Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Purple Purple Purple Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Purple Purple Purple Green Green Green 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 Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Gray Gray Yellow Yellow Yellow Black Black Black Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Yellow Yellow Yellow Black Black Black Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Yellow Yellow Yellow Black Black Black Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Purple Purple Purple Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Purple Purple Purple Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Purple Purple Purple Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Orange Orange Orange Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Orange Orange Orange Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Orange Orange Orange Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Red Red Red 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 Red Red Red 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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Yellow Yellow Yellow Black Black Black Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Yellow Yellow Yellow Black Black Black Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Yellow Yellow Yellow Black Black Black Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Purple Purple Purple Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Purple Purple Purple Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Purple Purple Purple Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Orange Orange Orange Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Orange Orange Orange Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Orange Orange Orange Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Purple Purple Purple Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Green Green Green Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Red Red Red 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 Red Red Red 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 Red Red Red 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:\nPink Pink Pink Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Orange Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nOrange Orange Orange Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray 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 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 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Red Red Red 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```\nPink Pink Pink Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink 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 Pink Pink Pink 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 Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Pink Pink Pink Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Orange Orange Orange Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Green Green Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nOrange Orange Orange Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nOrange Orange Orange Yellow Yellow Yellow Blue Blue Blue Gray Gray Gray 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Green Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Red Red Red 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 Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Pink Pink Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black\nBlack Black Black Gray Gray Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Black Black\nBlack Gray Gray Black Yellow Yellow Black Black\nBlack Gray Gray Black Black Blue Blue Black\nBlack Black Black Black Black Blue Blue 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Blue Blue Black Red Red\nBlack Blue Blue Black Red Red\nBlue Blue Blue Blue Green Green\nBlue Blue Blue Blue Green Green\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Green Black\nBlack Black Black Black Green Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nYellow Yellow Black Black Black\nYellow Yellow Red Red Black\nGreen Green Red Red Black\nGreen Green Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Red Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Red Black Red\nBlack Black Black Black Black Black Black Black Blue Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Blue Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Blue Black Blue\nBlack Black Black Black Black Black Black Black Red Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Red Black Black Black Blue Blue Blue\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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nGreen Blue Orange Green Yellow Purple Gray Blue Purple\nBrown Orange Red Green Orange Pink Yellow Purple Red\nOrange Gray Purple Green Brown Pink Yellow Brown Green\nPink Orange Yellow Purple Purple Gray Purple Purple Orange\nGray Brown Orange Blue Brown Purple Purple Green Blue\nPurple Orange Purple Orange Gray Orange Blue Blue Gray\nBrown Orange Gray Green Yellow Green Brown Pink Brown\nPink Green Pink Orange Purple Yellow Gray Yellow Pink\n\nOutput:\nGreen Blue Green Green Yellow Purple Blue Blue Black\nBrown Green Purple Green Green Brown Yellow Purple Black\nGreen Blue Purple Green Brown Brown Yellow Brown Black\nBrown Green Yellow Purple Purple Blue Purple Purple Black\nBlue Brown Green Blue Brown Purple Purple Green Black\nPurple Green Purple Green Blue Green Blue Blue Black\nBrown Green Blue Green Yellow Green Brown Brown Black\nBrown Green Brown Green Purple Yellow Blue Yellow Black\n\n\nExample 2\nInput:\nRed Green Brown Orange Blue Brown Purple Brown Gray Red\nPink Pink Yellow Blue Green Gray Red Blue Orange Gray\nPurple Purple Yellow Green Pink Red Brown Purple Orange Blue\nGreen Blue Orange Blue Green Purple Gray Pink Pink Yellow\nPink Orange Brown Green Blue Gray Brown Blue Green Orange\nPurple Red Green Yellow Green Yellow Orange Brown Red Purple\n\nOutput:\nRed Green Brown Orange Blue Brown Orange Brown Red Black\nPink Pink Blue Blue Green Red Red Blue Orange Black\nOrange Orange Blue Green Pink Red Brown Orange Orange Black\nGreen Blue Orange Blue Green Orange Red Pink Pink Black\nPink Orange Brown Green Blue Red Brown Blue Green Black\nOrange Red Green Blue Green Blue Orange Brown Red Black\n\n\nExample 3\nInput:\nOrange Orange Purple Gray Gray Green Gray\nPurple Orange Blue Yellow Pink Gray Blue\nYellow Yellow Red Pink Red Orange Red\nPurple Green Purple Purple Pink Pink Brown\nYellow Pink Green Purple Green Brown Pink\nGray Green Green Purple Purple Green Yellow\nGray Red Purple Red Orange Blue Orange\nRed Brown Pink Red Blue Yellow Purple\n\nOutput:\nOrange Orange Orange Gray Gray Green Black\nOrange Orange Gray Pink Pink Gray Black\nPink Pink Red Pink Red Orange Black\nOrange Green Orange Orange Pink Pink Black\nPink Pink Green Orange Green Red Black\nGray Green Green Orange Orange Green Black\nGray Red Orange Red Orange Gray Black\nRed Red Pink Red Gray Pink Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Pink Gray Pink Red Purple Brown\nRed Green Pink Orange Pink Blue Red\nBrown Gray Yellow Red Red Purple Purple\nRed Green Brown Brown Green Green Blue\nBlue Green Red Gray Blue Orange Yellow\nPurple Brown Red Red Red Blue 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 Pink Gray Pink Brown Purple Black\nBrown Green Pink Yellow Pink Purple Black\nBrown Gray Yellow Brown Brown Purple Black\nBrown Green Brown Brown Green Green Black\nPurple Green Brown Gray Purple Yellow Black\nPurple Brown Brown Brown Brown Purple Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black 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 Red Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Red 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 Green Green Green Black\nBlack Black Black Black Green Green Green Black\nBlack Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black\nBlue Blue Blue Black Black Green Green Green\nBlue Blue Blue Black Black Green Green Green\nBlue Blue Blue Black Black Green Green Green\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Yellow Black Black Red Black Black Red Black\nBlack Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Green Green Green Green Green\nBlue Blue Blue Green Green Green Green Green Green Green\nBlue Blue Blue Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Red 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 Red Black\nBlack Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black\nBlack Red Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green\nGreen Green Green Blue Blue Blue Green Green Green Green Black\nGreen Green Green Blue Blue Blue Black Green Green Green Black\nGreen Green Green Blue Blue Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black 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\nRed Black Black Yellow Black Black Red Black Black\nRed 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\nYellow 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 Green Green Green Black Black Black Black\nBlack Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Green Blue Blue Blue Green Green Green Black\nGreen Green Blue Blue Blue Green Green Green Black\nGreen Green Blue Blue Blue Green Green Green Black\nGreen Green Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Orange Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Purple Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\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 Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Pink Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Green Green Green 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 Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink 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 Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Orange Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray 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 Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange 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:\nPink Pink Pink Black Black Black Black Black Black Purple\nPink Pink Pink Yellow Yellow Orange Orange Brown Brown Black\nPink Pink Pink Yellow Yellow Orange Orange Brown Brown Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Orange Orange Pink Pink Pink Black Black\nBlack Green Black Orange Orange Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black\nBlack Black Orange Black Orange Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Black Black Black Black Black Black Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Yellow Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Blue Black Blue Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Brown Brown Brown\nBlack Black Black Black Brown Brown Brown\nBlack Red Red Red Brown Brown Brown\nBlack Red Red Red Black Black Black\nBlack Red Red Red Black Orange Orange\nPink Black Black Black Black Orange Orange\nBlack Black Black Black Blue Brown Black\nGray Gray Black Brown Brown Brown Black\nGray Gray Black Black Brown Brown Black\nBlack Black Black Black Yellow Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Blue\nBlack Black Black Black Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Black Blue Blue\nYellow Black Black Black Black Blue Blue\nBlack Black Black Black Yellow Blue Black\nBlue Blue Black Blue Blue Blue Black\nBlue Blue Black Black Blue Blue Black\nBlack Black Black Black Yellow Black Black\n\n\nExample 3\nInput:\nBlack Red Red Black Black Black Black\nBlack Red Red Black Green Black Black\nBlack Black Yellow Yellow Yellow Black Purple\nBlack Black Yellow Yellow Yellow Blue Blue\nPink Pink Yellow Yellow Yellow Blue Blue\nPink Pink Purple Purple Purple Orange Orange\nBlue Blue Purple Purple Purple Orange Orange\nBlue Blue Purple Purple Purple Black Black\nBlack Orange Black Black Green Black Orange\n\nOutput:\nBlack Blue Blue Black Black Black Black\nBlack Blue Blue Black Yellow Black Black\nBlack Black Blue Blue Blue Black Blue\nBlack Black Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black\nBlack Blue Black Black Yellow Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Gray Gray Black Black Black Pink Black\nBlack Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Pink Black Black Pink Black\nBlack Black Black Black Black Black Gray Gray Gray\nBrown Black Black Black Pink Pink Gray Gray Gray\nBlack Black Black Black Pink Pink Gray Gray Gray\nPink Orange Orange Black Black Black Brown Brown Black\nBlack Orange Orange Black Black Black Brown 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```\nBlack Blue Blue Blue Black Black Black Blue Black\nBlack Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Blue Black\nBlack Black Black Black Black Black Blue Blue Blue\nBlue Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Black\nBlack Blue Blue Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Gray Gray Black Black Black Black\nBlack Black Black Black Purple Blue Black Black Black Black Black\nBlack Black Black Black Red Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Blue Brown Black Black Black\nBlack Black Black Purple Brown Brown Brown Black Black Black Black\nBlack Black Black Purple Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue 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 Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue 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 Yellow Gray Black Black Black Black\nBlack Black Blue Brown Purple Black Black Black Black Black\nBlack Black Brown Brown Yellow Gray Black Black Black Black\nBlack Black Blue Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Yellow Yellow Black Black Black Black\nBlack Black Black Black Purple Gray Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Blue Black 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 Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink\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 Pink Black Black Black Pink\nBlack Black Black Black Black Pink Black Black Black Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Pink\nBlack Black Black Black Black Pink Black Black Black Pink\nBlack Black Black Black Black Pink Black Black Black Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Yellow Yellow\nBlack Black Yellow Yellow\nBlack Black Yellow Yellow\nBlack Black Yellow Yellow\nBlack Black Yellow Yellow\nBlack Black Yellow Yellow\nBlack Black Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray 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 Gray Black Black Gray Black\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nBlack Gray Black Black Gray Black\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Brown Black\nBlack Purple Black Black Black Black Black Brown Brown Brown\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBrown Brown Brown Black Black Orange Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Orange Orange Green Green Green Green\nGreen Green Green Green Green Orange Green Green Green Green\nGreen Green Green Green Green Orange Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Red Red Black\nBlue Blue Blue Black Black Pink Pink Red Red Red\nBlack Black Black Black Black Black Red Red Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Pink Pink Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Pink Red Black Black Black Black Black Black\nPink 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 Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Pink Pink Black Brown Black Black Blue\nBlack Black Black Pink Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Blue\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Brown Green Green Green\nGreen Green Green Green Green Green Brown Green Green Green\nGreen Green Green Green Green Green Brown Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Purple Purple Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Pink Pink Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Purple Black Black Black Pink Black Yellow Black Black Black Orange Black\nBlack Black Brown Black Black Black Black Black Brown Black Black Blue Black\nBlack Black Black Black Black Black Orange Black Red Black Orange Black Black\nOrange Black Black Black Yellow Black Black Black Black Black Yellow Yellow Black\nBlue Black Blue Black Black Black Brown Purple Purple Pink Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Purple Orange Green Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Orange Black Black Orange Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Purple Orange\nOrange Black Black Yellow Black Black Black Black Black Black Purple Black Black\nBlack Brown Black Black Black Black Black Pink Black Black Black Black Black\n\nOutput:\nBlack Black Purple Purple Black Black Black Black Black Black Pink Pink Black Black Yellow Yellow Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Pink Pink Black Black Yellow Yellow Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Red Red Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Red Red Black Black Orange Orange Black Black Black Black\nOrange Orange Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nOrange Orange Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlue Blue Black Black Blue Blue Black Black Black Black Black Black Brown Brown Purple Purple Purple Purple Pink Pink Black Black Black Black Black Black\nBlue Blue Black Black Blue Blue Black Black Black Black Black Black Brown Brown Purple Purple Purple Purple Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Orange Orange Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Orange Orange Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Purple Purple Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Purple Purple Orange Orange\nOrange Orange Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nOrange Orange Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Black Black Black Blue Black Black Pink Brown Purple Black Red\nBlack Orange Blue Black Green Black Black Black Black Black Black Black\nBlack Black Black Blue Yellow Black Black Purple Black Gray Yellow Red\nYellow Black Brown Yellow Black Black Black Blue Purple Pink Black Brown\nYellow Black Black Black Black Purple Black Black Yellow Black Orange Black\nBrown Black Green Black Black Brown Green Black Black Black Black Black\nBlack Black Pink Red Blue Blue Black Black Black Black Black Brown\nYellow Black Green Black Pink Black Purple Green Black Yellow Purple Brown\nBlack Gray Black Black Orange Black Black Pink Red Black Black Black\nGreen Orange Gray Black Black Black Purple Green Brown Black Black Purple\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Pink Yellow Black Black Black Black Black Pink Black Blue Orange\n\nOutput:\nGreen Green Black Black Black Black Black Black Blue Blue Black Black Black Black Pink Pink Brown Brown Purple Purple Black Black Red Red\nGreen Green Black Black Black Black Black Black Blue Blue Black Black Black Black Pink Pink Brown Brown Purple Purple Black Black Red Red\nBlack Black Orange Orange Blue Blue Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Blue Blue Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Purple Purple Black Black Gray Gray Yellow Yellow Red Red\nBlack Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Purple Purple Black Black Gray Gray Yellow Yellow Red Red\nYellow Yellow Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Blue Blue Purple Purple Pink Pink Black Black Brown Brown\nYellow Yellow Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black Blue Blue Purple Purple Pink Pink Black Black Brown Brown\nYellow Yellow Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Yellow Yellow Black Black Orange Orange Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Yellow Yellow Black Black Orange Orange Black Black\nBrown Brown Black Black Green Green Black Black Black Black Brown Brown Green Green Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Green Green Black Black Black Black Brown Brown Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Red Red Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Pink Pink Red Red Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown\nYellow Yellow Black Black Green Green Black Black Pink Pink Black Black Purple Purple Green Green Black Black Yellow Yellow Purple Purple Brown Brown\nYellow Yellow Black Black Green Green Black Black Pink Pink Black Black Purple Purple Green Green Black Black Yellow Yellow Purple Purple Brown Brown\nBlack Black Gray Gray Black Black Black Black Orange Orange Black Black Black Black Pink Pink Red Red Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Orange Orange Black Black Black Black Pink Pink Red Red Black Black Black Black Black Black\nGreen Green Orange Orange Gray Gray Black Black Black Black Black Black Purple Purple Green Green Brown Brown Black Black Black Black Purple Purple\nGreen Green Orange Orange Gray Gray Black Black Black Black Black Black Purple Purple Green Green Brown Brown Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Yellow Yellow Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Blue Blue Orange Orange\nBlack Black Pink Pink Yellow Yellow Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Blue Blue Orange Orange\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Pink Black Pink Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black\nGray Black Black Yellow Black Black Gray Green Purple Black Black Black\nBlack Red Pink Black Brown Black Black Black Black Black Orange Black\nBlue Black Black Pink Black Black Brown Black Black Black Black Pink\nBlue Black Black Black Yellow Black Yellow Black Gray Black Black Gray\nRed Green Black Black Black Black Gray Black Black Orange Black Black\nBlack Blue Black Black Black Black Black Black Black Brown Black Black\nBrown Black Gray Purple Black Black Black Black Gray Blue Black Yellow\nBlack Black Black Black Black Black Black Brown Black Yellow Black Black\nGreen Black Black Black Black Orange Black Yellow Black Black Brown Black\nBlack Black Black Red Black Black Black Green Black Black Black Black\nYellow Brown Red Black Gray Black Pink Yellow Black Black Black Black\n\nOutput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink 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 Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Yellow Yellow Black Black Black Black Gray Gray Green Green Purple Purple Black Black Black Black Black Black\nGray Gray Black Black Black Black Yellow Yellow Black Black Black Black Gray Gray Green Green Purple Purple Black Black Black Black Black Black\nBlack Black Red Red Pink Pink Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Red Red Pink Pink Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlue Blue Black Black Black Black Pink Pink Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Pink Pink\nBlue Blue Black Black Black Black Pink Pink Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Pink Pink\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Gray Gray Black Black Black Black Gray Gray\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Gray Gray Black Black Black Black Gray Gray\nRed Red Green Green Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Orange Orange Black Black Black Black\nRed Red Green Green Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBrown Brown Black Black Gray Gray Purple Purple Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Yellow Yellow\nBrown Brown Black Black Gray Gray Purple Purple Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Yellow Yellow Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Orange Orange Black Black Yellow Yellow Black Black Black Black Brown Brown Black Black\nGreen Green Black Black Black Black Black Black Black Black Orange Orange Black Black Yellow Yellow Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nYellow Yellow Brown Brown Red Red Black Black Gray Gray Black Black Pink Pink Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Brown Brown Red Red Black Black Gray Gray Black Black Pink Pink Yellow Yellow Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Black Purple Black Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Blue Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Pink\nGray Black Black Black Black Yellow Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Orange Black Brown Brown Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Orange Black Black Black Black Black Black Black Black Orange\nBlack Black Gray Black Black Black Green Black Black Black Black Black Green Black\nBlack Red Black Black Black Purple Black Black Black Black Black Black Black Purple\nBlack Pink Black Black Black Black Black Black Black Black Black Yellow Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Blue Blue Black Black Purple Purple Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Purple Purple Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Blue Blue Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Blue Blue Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nGray Gray Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Orange Orange Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Orange Orange Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlue Blue Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Red Red Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Red Red Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black\n\nOutput:\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nPink Pink Pink 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 Pink Pink Pink\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nPink Pink Pink 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 Pink Pink Pink\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nPink Pink Pink 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 Pink Pink Pink\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nPink Pink Pink 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 Pink Pink Pink\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink 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\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink 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 Pink Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink 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 Pink Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink 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 Pink Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink 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 Pink Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink 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 Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input 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 Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Purple Black Black Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Brown Purple Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Blue Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Blue Black Black Black Black Black\nBlack Black Brown Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Blue 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 Blue\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Purple Purple Purple Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Purple Purple Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black\n\nOutput:\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\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 Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Red Red Black Red Black Brown Brown Brown Black Black Black\nBlack Black Black Black Red Red Red Black Black Brown Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Red Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Purple Gray Blue Red Orange Purple Blue Brown Red Orange Gray Pink Red Brown Black Pink Brown\nBrown Purple Brown Black Orange Green Pink Purple Blue Black Orange Yellow Purple Red Blue Brown Red Purple\nBlue Red Gray Blue Brown Black Blue Blue Green Gray Black Orange Orange Orange Orange Pink Red Gray\nPink Gray Pink Purple Blue Black Gray Purple Black Green Brown Pink Purple Black Green Brown Purple Brown\nBrown Pink Purple Black Orange Gray Brown Blue Orange Yellow Purple Red Yellow Pink Pink Yellow Pink Green\nOrange Brown Red Red Pink Yellow Pink Pink Purple Brown Yellow Brown Green Red Orange Pink Gray Gray\nPink Blue Pink Brown Black Purple Orange Gray Orange Green Orange Green Orange Pink Yellow Purple Yellow Pink\nOrange Green Orange Brown Black Black Orange Yellow Brown Green Gray Green Red Pink Gray Pink Orange Orange\n\nOutput:\nRed Purple Gray Yellow Green Orange Purple Yellow Brown Green Orange Gray Pink Green Brown Green Pink Brown\nBrown Purple Brown Green Orange Red Pink Purple Yellow Green Orange Blue Purple Green Yellow Brown Green Purple\nYellow Green Gray Yellow Brown Green Yellow Yellow Red Gray Green Orange Orange Orange Orange Pink Green Gray\nPink Gray Pink Purple Yellow Green Gray Purple Green Red Brown Pink Purple Green Red Brown Purple Brown\nBrown Pink Purple Green Orange Gray Brown Yellow Orange Blue Purple Green Blue Pink Pink Blue Pink Red\nOrange Brown Green Green Pink Blue Pink Pink Purple Brown Blue Brown Red Green Orange Pink Gray Gray\nPink Yellow Pink Brown Green Purple Orange Gray Orange Red Orange Red Orange Pink Blue Purple Blue Pink\nOrange Red Orange Brown Green Green Orange Blue Brown Red Gray Red Green Pink Gray Pink Orange Orange\n\n\nExample 2\nInput:\nPurple Pink Gray Pink Red Orange Pink\nPink Gray Yellow Gray Red Purple Blue\nPink Blue Orange Orange Gray Purple Yellow\nGray Pink Blue Orange Purple Yellow Black\nPink Gray Orange Black Pink Purple Gray\nYellow Brown Black Green Black Orange Red\nYellow Orange Gray Pink Pink Black Blue\nPurple Green Blue Green Gray Brown Black\nBrown Yellow Red Green Purple Purple Green\nGreen Brown Black Brown Orange Brown Pink\n\nOutput:\nPurple Pink Gray Pink Green Orange Pink\nPink Gray Blue Gray Green Purple Yellow\nPink Yellow Orange Orange Gray Purple Blue\nGray Pink Yellow Orange Purple Blue Green\nPink Gray Orange Green Pink Purple Gray\nBlue Brown Green Red Green Orange Green\nBlue Orange Gray Pink Pink Green Yellow\nPurple Red Yellow Red Gray Brown Green\nBrown Blue Green Red Purple Purple Red\nRed Brown Green Brown Orange Brown Pink\n\n\nExample 3\nInput:\nBlack Black Blue Black Brown Orange Gray\nYellow Green Orange Gray Orange Red Orange\nRed Brown Pink Purple Gray Pink Pink\nPink Green Brown Green Green Green Black\nBlack Black Orange Purple Blue Orange Red\nOrange Red Black Brown Yellow Black Brown\nGray Green Black Orange Pink Brown Blue\nPurple Red Brown Gray Red Brown Green\nPurple Black Yellow Yellow Purple Gray Green\nGreen Red Red Pink Black Yellow Purple\nPink Purple Yellow Brown Black Pink Yellow\n\nOutput:\nGreen Green Yellow Green Brown Orange Gray\nBlue Red Orange Gray Orange Green Orange\nGreen Brown Pink Purple Gray Pink Pink\nPink Red Brown Red Red Red Green\nGreen Green Orange Purple Yellow Orange Green\nOrange Green Green Brown Blue Green Brown\nGray Red Green Orange Pink Brown Yellow\nPurple Green Brown Gray Green Brown Red\nPurple Green Blue Blue Purple Gray Red\nRed Green Green Pink Green Blue Purple\nPink Purple Blue Brown Green Pink Blue\n\n\nHere is the input grid for the test example:\nInput:\nYellow Blue Pink Green Pink Blue Gray Gray Black\nBlack Yellow Purple Orange Yellow Purple Pink Pink Purple\nPink Yellow Orange Orange Red Brown Pink Purple Yellow\nGreen Green Orange Pink Orange Brown Black Purple Purple\nBrown Black Blue Purple Green Gray Green Gray Gray\nBlue Gray Brown Red Pink Blue Purple Yellow Red\nBlack Black Brown Red Black Black Orange Gray Yellow\nOrange Green Red Gray Pink Yellow Gray Yellow Brown\nBrown Purple Black Blue Orange Brown Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Yellow Pink Red Pink Yellow Gray Gray Green\nGreen Blue Purple Orange Blue Purple Pink Pink Purple\nPink Blue Orange Orange Green Brown Pink Purple Blue\nRed Red Orange Pink Orange Brown Green Purple Purple\nBrown Green Yellow Purple Red Gray Red Gray Gray\nYellow Gray Brown Green Pink Yellow Purple Blue Green\nGreen Green Brown Green Green Green Orange Gray Blue\nOrange Red Green Gray Pink Blue Gray Blue Brown\nBrown Purple Green Yellow Orange Brown 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 Brown Black Red\nBlack Black Black Black Black Black Green Black\nBlack Black Black Black Black Orange Green Black\nBlack Black Black Black Orange Black Black Orange\nGray Black Black Yellow Black Black Black Pink\nBlack Brown Green Black Black Black Green Black\nBlack Black Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Purple Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Pink Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Green Black\nBlack Black Black Black Black Orange Green Black\nBlack Black Black Black Orange Black Black Orange\nGray Black Black Yellow Black Black Black Pink\nBlack Brown Green Black Black Black Green Black\nBlack Black Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Purple Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Pink Black Black Black Brown Black\nRed Red Black Black Black Black Black Black\nBlue Red Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Black Black Black Black Black Red\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black\nBlue Black Black Black Black Orange Black\n\nOutput:\nGreen Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Black Black Black Black Black Black\nRed Red Black Gray Black Black Black\nBlue Red Black Black Black Orange Black\n\n\nExample 3\nInput:\nBlack Black Green Black Black Purple Red\nBlack Green Black Black Green Yellow Black\nGray Black Black Black Black Black Black\nBlack Black Black Black Black Pink Purple\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black\nPurple Black Yellow Black Black Black Purple\nPink Purple Black Black Green Black Black\nBlack Green Black Black Black Black Black\nBlack Black Purple Black Black Black Black\nBlue Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Black Black Purple Black\nBlack Green Black Black Green Yellow Black\nGray Black Black Black Black Black Black\nBlack Black Black Black Black Pink Purple\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black\nPurple Black Yellow Black Black Black Purple\nPink Purple Black Black Green Black Black\nBlack Green Black Black Black Black Black\nRed Red Purple Black Black Black Black\nBlue Red Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Orange Orange Gray Brown Red\nBlack Brown Yellow Black Black Black Pink Black Black\nPink Orange Black Gray Orange Yellow Black Black Purple\nBlack Gray Orange Black Orange Green Yellow Black Black\nBrown Black Black Orange Purple Gray Black Black Black\nYellow Black Black Black Black Black Purple Black Green\nYellow Black Green Black Black Black Yellow Orange Brown\nYellow Black Pink Black Black Pink Purple Black Black\nBlue Black Black Brown Yellow Orange Black Gray Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Orange Orange Gray Brown Black\nBlack Brown Yellow Black Black Black Pink Black Black\nPink Orange Black Gray Orange Yellow Black Black Purple\nBlack Gray Orange Black Orange Green Yellow Black Black\nBrown Black Black Orange Purple Gray Black Black Black\nYellow Black Black Black Black Black Purple Black Green\nYellow Black Green Black Black Black Yellow Orange Brown\nRed Red Pink Black Black Pink Purple Black Black\nBlue Red Black Brown Yellow Orange Black Gray 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:\nOrange Orange Purple Purple\nGray Orange Green Brown\nRed Yellow Green Brown\nYellow Yellow Yellow Yellow\n\nOutput:\nPurple Brown Brown Yellow\nPurple Green Green Yellow\nOrange Orange Yellow Yellow\nOrange Gray Red Yellow\n\n\nExample 2\nInput:\nRed Brown Brown Gray Yellow\nGray Orange Brown Gray Yellow\nGray Yellow Green Green Green\nPurple Brown Blue Pink Yellow\nOrange Purple Blue Pink Pink\n\nOutput:\nYellow Yellow Green Yellow Pink\nGray Gray Green Pink Pink\nBrown Brown Green Blue Blue\nBrown Orange Yellow Brown Purple\nRed Gray Gray Purple Orange\n\n\nExample 3\nInput:\nOrange Orange Purple Brown Orange\nBlue Orange Brown Brown Purple\nBlue Gray Red Red Red\nGray Gray Red Blue Gray\nGray Brown Yellow Gray Pink\n\nOutput:\nOrange Purple Red Gray Pink\nBrown Brown Red Blue Gray\nPurple Brown Red Red Yellow\nOrange Orange Gray Gray Brown\nOrange Blue Blue Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Blue Purple\nBlue Blue Yellow\nBlue Pink Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Yellow Red\nBlue Blue Pink\nPink Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Purple Red\nOrange Orange Pink\nYellow Gray Blue\n\nOutput:\nRed Green Orange\nYellow Black Gray\nPurple Blue Pink\n\n\nExample 2\nInput:\nGreen Orange Red\nPurple Gray Purple\nYellow Orange Blue\n\nOutput:\nRed Green Gray\nYellow Black Orange\nOrange Blue Purple\n\n\nExample 3\nInput:\nGreen Brown Red\nPurple Purple Gray\nYellow Orange Blue\n\nOutput:\nRed Green Purple\nYellow Black Orange\nBrown Blue Gray\n\n\nHere is the input grid for the test example:\nInput:\nGreen Brown Red\nBrown Pink Brown\nYellow Orange Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Green Pink\nYellow Black Orange\nBrown Blue Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Orange Orange Orange Black Black Orange Black Orange\nOrange Black Orange Black Black Black Black Black Black Orange\nOrange Orange Black Orange Black Orange Black Orange Orange Orange\nOrange Black Black Orange Orange Orange Black Orange Orange Orange\nBlack Black Black Black Orange Black Orange Black Black Orange\nBlack Black Black Orange Orange Black Black Black Black Black\nOrange Black Orange Black Orange Black Orange Black Orange Black\nBlack Black Orange Black Orange Black Orange Orange Orange Orange\nBlack Orange Black Orange Orange Black Black Black Orange Black\nOrange Orange Black Orange Orange Black Orange Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Orange Black Black Orange Orange Black Black Black Black\nBlack Orange Orange Orange Orange Black Orange Black Orange Black\nBlack Orange Black Black Orange Black Black Black Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nPink Pink Black Black Pink Black Black Black Black Pink Black\nPink Pink Black Black Black Black Pink Black Pink Pink Black\nBlack Pink Black Pink Black Black Pink Pink Black Pink Pink\nPink Pink Black Black Black Pink Pink Black Pink Black Black\nPink Black Pink Black Pink Black Pink Black Pink Pink Pink\nBlack Pink Pink Pink Black Black Pink Black Pink Black Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nYellow Purple Purple Yellow Purple Purple Purple\nPurple Purple Purple Yellow Purple Purple Purple\nPurple Yellow Yellow Yellow Purple Yellow Purple\nYellow Purple Purple Purple Yellow Yellow Yellow\nPurple Yellow Yellow Purple Purple Yellow Purple\nPurple Yellow Purple Yellow Purple Yellow Yellow\nPurple Purple Yellow Purple Yellow Yellow Yellow\nYellow Purple Yellow Purple Yellow Purple Yellow\nPurple Purple Yellow Purple Yellow Yellow Purple\nYellow Yellow Yellow Purple Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGray Orange Orange Gray Gray Gray\nOrange Orange Orange Gray Orange Gray\nGray Gray Orange Gray Orange Gray\nOrange Gray Gray Gray Orange Orange\nGray Gray Gray Orange Orange Gray\nOrange Orange Orange Gray Gray Orange\nOrange Gray Orange Gray Orange Gray\nGray Orange Orange Orange Gray Gray\nGray Orange Orange Orange Gray 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```\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Brown Brown Brown Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple 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 Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Brown Brown Brown Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Gray Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Black Black Black Orange Black\nBlack Purple Purple Purple Purple Black Black Black Black Black Orange Black\nBlack Purple Purple Purple Purple Black Black Black Black Black 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 Purple\nBlack Black Black Black Black Black Black Green Green Green Green Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Gray Gray Black Black Gray Gray Gray Black Black Black Black\nBlack Gray Black Black Black Gray Gray Gray Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black\nBlack Orange Purple Purple Purple Black Black Black Black Black Black Black\nBlack Orange Purple Purple Purple Black Black Black Black Black Orange Black\nBlack Purple Purple Purple Purple Black Black Black Black Black Orange Black\nBlack Purple Purple Purple Purple Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Purple\nBlack Black Black Black Black Gray Gray Red Red Green Green Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Blue Blue Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack 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\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 Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Orange Orange Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Blue Yellow Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Gray Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black\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\n\n\nDirectly provide the output grids corresponding to the given test input 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 Gray Gray Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray 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 Green Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black\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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Green Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black\nPurple Purple Black Orange Orange Orange Orange Black Black Black\nPurple Purple Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black\nBlack Black Pink Pink Black Black Brown Brown Brown Black\nBlack Black Pink Pink Black Black Brown Brown Brown Black\n\nOutput:\nYellow Black Black Yellow Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nGray Gray Black Gray Gray Gray Gray Black Black Black\nGray Gray Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Gray Gray Black Black Gray Gray Gray Black\nBlack Black Gray Gray Black Black Gray Gray Gray Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Orange Orange Black Brown Brown Black Pink Pink Pink\nBlack Orange Orange Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Orange Orange Black\nBlack Black Black Yellow Yellow Yellow Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Gray Gray Black Gray Gray Black Gray Gray Gray\nBlack Gray Gray Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Gray Gray Black\nBlack Black Black Gray Gray Gray Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Yellow Black\nOrange Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Green Green Black Red Red Red Red Black\nBlack Black Green Green Black Red Red Red Red Black\nBlack Black Black Black Black Red Red 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 Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Yellow Black\nYellow Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Gray Gray Black Gray Gray Gray Gray Black\nBlack Black Gray Gray Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray 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 Pink Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Brown Black Black Black Black Black Black\nPink Black Black Black Black Black Black Gray Black Black\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 Brown Brown Brown Brown Black\nPink Pink Pink Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Pink Black Black Brown Brown Brown Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Yellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Gray Gray Gray Gray Black\nGray Gray Gray Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Yellow Black Black Gray Gray Gray Gray Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Black Black Black Black Black Orange Orange Orange Orange Red\nGray Black Black Black Black Black Orange Orange Orange Black Red\nGray Black Black Orange Orange Orange Orange Orange Orange Black Red\nGray Black Black Orange Black Black Orange Orange Orange Black Red\nGray Black Orange Orange Orange Orange Black Black Black Black Red\nGray Orange Orange Orange Orange Orange Black Black Black Black Red\nGray Orange Orange Orange Orange Orange Orange Orange Orange Orange Red\nGray Orange Orange Orange Orange Black Orange Orange Orange Orange Red\nGray Orange Orange Orange Orange Black Black Orange Orange Orange Red\nGray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\n\nOutput:\nBlack Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown Black\nBlack Black Brown Brown Brown Brown Brown Brown Black\nBlack Black Brown Black Black Brown Brown Brown Black\nBlack Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Black Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown\n\n\nExample 2\nInput:\nOrange Red Red Red Red Red Red Red Red Red\nOrange Green Green Green Green Green Green Black Black Green\nOrange Green Green Green Green Green Green Green Black Green\nOrange Green Green Green Black Green Green Green Green Green\nOrange Green Green Green Black Black Green Green Black Green\nOrange Green Green Green Black Black Green Green Black Green\nOrange Green Green Black Black Black Black Black Black Green\nOrange Brown Brown Brown Brown Brown Brown Brown Brown Green\n\nOutput:\nRed Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Black\nRed Red Red Black Red Red Red Red\nRed Red Red Black Black Red Red Black\nRed Red Red Black Black Red Red Black\nRed Red Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Black Red Red Red Red Red Black Red\nBrown Black Black Red Red Red Black Black Red\nBrown Black Black Red Red Red Black Black Red\nBrown Red Red Red Red Red Red Red Red\nBrown Red Red Red Red Red Red Red Red\nBrown Black Red Red Red Red Red Black Red\nBrown Black Red Red Red Red Red Black Red\nBrown Gray Gray Gray Gray Gray Gray Gray Red\n\nOutput:\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Black Black Black Red Red Black Black Black Black Black Brown\nPurple Black Black Red Red Red Black Black Black Black Black Brown\nPurple Black Black Black Red Red Red Red Black Red Black Brown\nPurple Black Black Red Red Red Red Red Red Red Red Brown\nPurple Black Black Red Red Red Red Red Red Red Red Brown\nPurple Red Red Red Red Red Red Red Red Black Black Brown\nPurple Red Red Red Red Red Red Red Red Black Black Brown\nPurple Black Red Black Red Red Red Red Black Black Black Brown\nPurple Black Black Black Black Black Red Red Red Black Black Brown\nPurple Black Black Black Black Black Red Red Black Black Black Brown\nPurple Red Red Red Red Red Red Red Red Red Red Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Black Black Black\n```",
"role": "assistant"
}
]
|
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