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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:\nPink Pink Pink Pink Pink Pink Pink\nPink Gray Gray Black Black Black Pink\nPink Gray Gray Black Black Black Pink\nPink Gray Gray Black Black Black Pink\nPink Gray Gray Gray Gray Black Pink\nPink Black Black Black Gray Gray Pink\nPink Pink Pink Pink Pink Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black\nBlack Black Black Black Pink Pink Black\nBlack Black Black Black Pink Black Black\nBlack Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown\nBrown Black Red Black Brown\nBrown Red Red Red Brown\nBrown Black Red Black Brown\nBrown Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black\nBlack Black Brown Black Black\nBlack Brown Brown Brown Black\nBlack Black Brown Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink\nPink Purple Purple Purple Pink\nPink Purple Purple Black Pink\nPink Purple Purple Purple Pink\nPink Pink Pink Pink Pink\n\nOutput:\nBlack Black Black Black Black\nBlack Pink Black Pink Black\nBlack Pink Pink Pink Black\nBlack Pink Pink Pink Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink\nPink Orange Black Orange Orange Pink\nPink Orange Orange Orange Black Pink\nPink Black Orange Orange Orange Pink\nPink Orange Orange Black Orange Pink\nPink 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\nBlack Pink Black Pink Pink Black\nBlack Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Black\nBlack Pink Pink Black Pink Black\nBlack 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:\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black Black Yellow Black Black Black Black Yellow\nYellow Black Black Black Black Black Yellow Black Black Yellow Black Yellow Black Black Yellow Yellow Black Yellow Black Black\nYellow Black Black Yellow Black Yellow Black Black Black Black Yellow Black Black Black Yellow Black Black Yellow Black Black\nYellow Black Yellow Black Yellow Black Black Yellow Black Yellow Yellow Black Black Black Black Black Black Yellow Black Black\nYellow Black Yellow Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black Yellow Red Gray Orange\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Green Green Orange Orange\nBlack Yellow Brown Yellow Brown Brown Yellow Black Black Black Yellow Black Black Yellow Black Black Black Black Orange Black\nBlack Black Brown Purple Purple Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Black Black Yellow Black Pink Black\nYellow Yellow Black Purple Purple Brown Black Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black\nYellow Black Brown Brown Black Brown Black Yellow Black Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Black Black Black Black Black Black Yellow Yellow Black\nBlack Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Black\nYellow Black Black Black Yellow Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Yellow Black Yellow\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Yellow\nBlack Black Yellow Black Yellow Yellow Black Black Black Yellow Black Yellow Black Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Black Yellow Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black Yellow\nBlack Black Black Yellow Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black\nYellow Black Black Yellow Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Yellow Black Yellow\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 Yellow Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Yellow 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 Yellow Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Black Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Green Black Black Black Green Black Black Green Black Black Black Black Green Green Black Green Black Black Green\nBlack Black Green Black Black Black Black Black Black Green Black Black Green Green Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Green Black Black Green Green Black Black Black Black Black Black Green Black\nBlack Green Black Black Black Green Black Black Black Green Black Black Black Black Black Green Black Green Black Black\nGreen Black Black Green Brown Brown Brown Green Black Black Green Black Green Black Black Black Black Black Black Black\nPurple Yellow Green Black Blue Brown Blue Black Black Black Black Black Green Green Black Black Black Black Green Black\nBlue Gray Black Black Green Black Black Black Green Black Black Black Black Black Green Black Black Black Green Green\nPurple Yellow Black Green Green Black Black Black Black Black Black Black Green Black Black Black Black Black Green Black\nBlack Green Black Black Green Black Green Green Black Green Black Black Green Black Green Black Black Black Black Black\nGreen Green Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Green\nBlack Green Green Green Black Green Black Black Black Black Black Black Green Green Black Green Green Green Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Green Black Black Black Black Black Black Black Black\nGreen Black Green Black Black Black Black Green Green Black Black Black Green Black Green Black Black Black Black Green\nBlack Black Black Black Black Black Green Black Black Black Green Black Black Green Black Black Black Black Green Black\nGreen Green Black Black Black Black Black Black Green Green Black Green Green Black Green Black Green Black Green Green\nGreen Green Black Black Black Black Green Black Black Black Green Green Black Black Black Green Green Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Green Black Green Green Black Black Green Black Black Black Black Black Green Black Black Black Green Black Black\nGreen Black Green Black Black Black Green Black Black Green Black Black Green Green Green Black Black Black Black Green\nGreen Green Green Black Green Black Black Green Black Black Black Black Black Green Green 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 Black\nBlack Black Green Black Black Black Black Black Black Green Black Black Green Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Green Black Black Black Black Black Black Black Green Black\nBlack Green Black Black Black Black Black Black Black Green Black Black Black Black Black Green Black Green Black Black\nBlack Black Black Green Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Green Black Green Black Black Green Black Black Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Green Black Black Green Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Green Black Black Black Black Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Green Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Green Black Black Black Green Black\nBlack Black Black Black Black Black Green Black Black Black Green Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Green Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Green Black Black Green Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Green Black Black Green Green Black Green Black Pink Pink Red Green Black Green Black Black Black Black Green\nBlack Green Black Green Blue Blue Black Green Green Pink Brown Red Red Black Black Black Black Black Green Green\nBlack Black Black Black Blue Blue Black Black Black Pink Black Green Black Green Black Black Green Black Black Black\nGreen Black Green Black Black Black Black Green Black Pink Green Black Green Black Black Green Green Green Black Green\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Green Black Green Black Black Green Green\nBlack Black Black Black Black Green Black Black Black Black Black Black Green Black Green Black Black Black Black Green\nBlack Black Black Green Black Black Green Black Black Black Green Black Black Black Black Green Black Green Black Green\nBlack Green Black Black Green Black Black Green Black Black Black Green Green Black Green Black Black Black Black Black\nBlack Black Green Black Black Gray Red Gray Black Green Green Black Green Green Black Green Black Black Black Black\nGreen Black Black Black Green Orange Red Orange Black Black Black Black Black Green Green Black Green Black Black Black\nBlack Green Black Black Black Black Green Green Black Black Green Black Black Black Black Green Black Black Black Black\nBlack Black Green Black Green Green Green Black Black Black Black Black Green Black Green Black Red Blue Green Black\nBlack Green Black Black Green Green Green Black Green Black Black Black Black Green Black Black Blue Black Green Green\nBlack Green Black Black Green Black Green Black Black Green Black Black Green Black Black Green Black Green Black Green\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Green Black Black Green\nGreen Black Black Black Black Black Black Green Black Black Black Blue Green Black Black Green Black Green Black Green\nGreen Black Black Black Green Black Black Green Green Black Black Blue Pink Pink Black Black Black Green Black Green\nBlack Black Black Black Green Black Black Black Black Green Black Black Green Black Black Black Black Green Black Black\nBlack Green Green Green Black Green Black Black Black Green Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Green Black Green Black Black Black Black Green Black Black Black Black Black Black Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Green Black Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Green Black Pink Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Green Black Black Green Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Green Black Green Black Black Black Black Black\nBlack Black Black Green Black Black Green Black Black Black Green Black Black Black Black Green Black Green Black Black\nBlack Green Black Black Green Black Black Black Black Black Black Green Black Black Green Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Green Black Black Green Black Black Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Green Black Black Green Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Green Black Black Black Black Green Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Green Black Black Blue Black Green Black\nBlack Green Black Black Green Black Black Black Black Green Black Black Green Black Black Green Black Green Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Green Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Gray Gray Black Black Gray Black Gray Blue Black Black Gray Black Gray Black Black Black\nBlack Black Black Gray Black Black Gray Black Black Gray Blue Blue Blue Black Black Black Black Black Black Black\nBlack Gray Black Gray Black Gray Black Gray Gray Black Gray Blue Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Gray Black Black Black Black Gray Black\nBlack Black Gray Gray Gray Black Black Gray Black Black Gray Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Gray Gray Black Black Gray Black Black Gray Black Gray Black Black Gray Black\nGray Black Black Black Black Gray Black Black Gray Gray Black Gray Gray Black Black Gray Black Black Gray Gray\nGray Gray Black Gray Black Gray Black Black Black Black Black Black Gray Gray Black Gray Black Black Black Black\nGray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Gray Black Gray Black\nBlack Black Gray Black Black Gray Black Black Gray Gray Gray Black Black Gray Black Black Gray Black Black Black\nGray Black Black Black Black Black Gray Black Black Black Black Gray Gray Black Blue Blue Black Gray Gray Black\nBlack Black Gray Black Gray Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nGray Gray Black Gray Black Gray Black Black Black Gray Black Black Gray Black Gray Black Black Gray Black Gray\nPink Pink Orange Black Black Black Gray Black Gray Black Black Black Black Gray Gray Black Black Gray Gray Black\nBlack Black Orange Purple Black Black Black Gray Black Gray Gray Black Black Gray Gray Black Black Black Black Gray\nGray Black Gray Black Black Yellow Yellow Yellow Yellow Black Black Gray Black Black Gray Black Gray Gray Gray Black\nGray Black Black Black Gray Yellow Blue Gray Gray Black Gray Black Gray Gray Black Black Gray Black Black Black\nGray Black Black Black Black Yellow Yellow Yellow Yellow Black Gray Black Black Black Black Gray Black Black Black Black\nGray Black Black Black Black Gray Black Gray Black Black Gray Black Gray Black Gray Gray Black Black Black Black\nBlack Black Gray Black Gray Black Black Black Black Black Black Gray Gray Black Black Black Black Black 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"
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{
"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 Gray Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Gray Black Gray Black Gray Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Gray Black Black Black Gray Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Gray Black Black Black Black Black Black Gray Black\nBlack Black Black Gray Black Gray Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Gray Black Black Gray Black Black Gray Black Black Black Black Gray Black Black Gray Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black Gray Black Black\nBlack Black Gray Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Gray Black Black Black Gray Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Gray Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Gray Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Gray Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Gray Black Black Gray Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\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 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black 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 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\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 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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black 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\nBlack Black Black 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\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black 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\nBlack Black Black 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\nBlack Black Black 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\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray\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 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black 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 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\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"
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{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (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 Red Black\nBlack Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black\nBlack Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black\nBlack Black Black Black Black Blue Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Black\nBlack Black Black Black Black Red Red Red\nBlack Black Black Black Red Red Red Black\nBlack Black Black Black Black Red Green Green\nBlack Black Black Black Red Black Green Black\nBlack Black Green Red Red Red Black Black\nBlack Green Green Green Red Black Blue Black\nBlack Black Green Black Black Blue Blue Blue\nBlack Black Black Black Green Blue Blue Black\nBlack Black Black Green Green Green Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Black Black Black Black Black Black\nRed Black Black Black Red Black Blue\nBlack Black Black Black Black Black Black\nBlack Blue Black Black Black Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Green Black Black Black\nBlack Black Black Black Black Red Black\n\nOutput:\nRed Red Black Black Red Black Blue\nRed Red Black Red Red Red Blue\nRed Blue Black Black Red Red Blue\nBlue Blue Blue Black Red Red Red\nBlack Blue Black Black Black Red Black\nBlack Black Red Black Black Black Black\nBlack Red Red Red Black Black Black\nBlack Black Red Green Black Black Black\nBlack Black Green Green Green Red Black\nBlack Black Black Green Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Green Blue\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue\nGreen Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Red Black Black Black Black Black\nRed Red Red Black Black Black Black\nBlack Red Black Black Black Green Blue\nBlack Black Black Black Green Green Blue\nBlack Black Black Black Black Green Blue\nBlack Black Black Black Black Black Blue\nGreen Black Black Black Black Blue Blue\nGreen Green Black Black Black Black Blue\nGreen Red Red Black Black Blue Black\nBlack Red Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black 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 Red Black Blue Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Red Red Red Black Black\nBlack Black Black Black Red Red Red Black Black\nBlack Black Black Black Red Red Blue Black Black\nBlack Black Black Red Red Red Blue Blue Black\nBlack Black Black Black Red Green Green Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Blue\nBlack Black Green Green Green 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:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Green Green Red Red Blue Pink Pink\nPink Pink Pink Pink Green Green Red Red Red Blue\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Red Red Blue Pink Pink\nPink Pink Pink Green Green Green Red Red Red Blue\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nGreen Green Red Red Pink Pink Pink Pink Pink Pink\nPink Green Blue Red Pink Pink Pink Pink Pink Pink\nPink Pink Pink Blue 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\nOutput:\nPink Pink Red Red Pink Pink Pink Pink Pink Pink\nPink Pink Blue Red Pink Pink Pink Pink Pink Pink\nPink Pink Pink Blue Pink Pink Pink Pink Pink Pink\nGreen Green Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Green Green Green Pink Pink\nPink Pink Pink Pink Pink Red Red Red Pink Pink\nBlue Blue Blue Pink Pink Pink Red Pink Pink Pink\nPink Blue Pink Pink Pink Pink Red Pink Pink Pink\nPink Blue Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Red Red Red Pink Pink\nBlue Blue Blue Pink Pink Pink Red Pink Pink Pink\nPink Blue Pink Pink Pink Pink Red Pink Pink Pink\nPink Blue Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nPink Red Red Red Pink Pink Pink Pink Pink Pink\nGreen Pink Pink Red Pink Pink Pink Pink Pink Pink\nGreen Green Green Red Blue Blue Pink Pink Pink Pink\nPink Pink Green Pink Pink Blue Pink Pink Pink Pink\nPink Pink Green Pink Pink Blue 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 Red Red Red Pink Pink Pink Pink Pink Pink\nPink Pink Pink Red Pink Pink Pink Pink Pink Pink\nPink Pink Pink Red Blue Blue Pink Pink Pink Pink\nPink Pink Pink Pink Pink Blue Pink Pink Pink Pink\nGreen Green Green Pink Pink Blue 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 Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Red Red Black Black\nBlack Black Red Red Black Black Red Red Black Black\nBlack Black Red Red Black Black Red Red Black Black\nBlack Black Red Red Black Black Red Red Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red 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\n\nOutput:\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red 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 Red Red Black Black Red Red Black Black\nBlack Black Red Red Black Black Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Red Red Red 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\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\nRed Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nRed Red Black Black Black Black Black Black Red Red\nRed Red Black Black Black Black Black Black Red Red\nBlack Black Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Blue Blue Blue Black Black Black\nBlack Red Red Red Black Black Blue Blue Blue Black Black Black\nBlack Black Red Red Black Black Blue Blue Blue Black Black Black\nBlack Black Red Red Black Black Black Black Black Red Black Black\nBlack Black Black Red Red Red Black Black Red Red 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 Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Green 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 Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black\nBlack Black Black Red Red Black Black Black Red 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 Blue Blue Blue Black Black\nBlack Black Red Red Black Blue Blue Blue Black Black\nBlack Black Red Red Red Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Red Red Black Black Black Blue Blue Blue Black\nBlack Red Red Black Black Black Blue Blue Blue Black\nBlack Red Red Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Green Green Black\nBlack Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Red Red Red Black Black\nBlack Black Red Red Red Black\nBlack Red Red Red Red Black\nBlack Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Black\nBlack Red Red Black Black Black\nBlack Red Red 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 Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Green Green Green Black\nBlack Black Green Green Green Black\nBlack Black Green Green Green 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\nBlack Green Green Green Green Black\nBlack Black Black Black Green Black\nBlack Black Black Black Green Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black\nGreen Black Black Green Green Black Black Black\nGreen Green Green Green Green Black Black Black\nGreen Green Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Blue Green Black Black\nBlack Green Blue Blue Black\nBlack Green Blue Blue Black\nBlack Blue Green Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlue Green Blue Green Black Black\nBlue Blue Green Green Blue Black\nBlue Blue Green Blue Green Black\nBlue Green Blue Blue Green Black\nBlack Green Blue Green Blue Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Blue Blue Blue Black Black\nBlack Pink Pink Blue Pink Black\nBlack Pink Black Pink Black Black\nBlack Pink Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPink Black Blue Pink Blue Black Black Black\nPink Pink Pink Pink Blue Pink Black Black\nPink Blue Pink Pink Blue Blue Black Black\nBlue Blue Blue Blue Pink Pink Black Black\nPink Blue Pink Pink Black Pink Black Black\nBlack Blue Blue Blue Black Pink 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 Black Black Black\nGreen Green Green Black\nGreen Green Green Black\nGreen Green Green Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Red Green Red\nBlack Black Black Black Black Red Red Red\nBlack Black Black Black Black Green Green Green\nBlack Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nYellow Blue Blue Yellow Blue Blue Yellow Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue\nYellow Blue Blue Yellow Blue Blue Yellow Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Green Red Green\nBlack Black Black Black Red Green Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Blue Yellow Yellow Blue Yellow\nBlue Blue Yellow Blue Blue Yellow Blue\nYellow Yellow Blue Yellow Yellow Blue Yellow\nBlue Blue Yellow Blue Blue Yellow Blue\nYellow Yellow Blue Yellow Yellow Blue Yellow\nBlue Blue Yellow Blue Blue Yellow Blue\nYellow Yellow Blue Yellow Yellow Blue Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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 Red Green Red\nBlack Black Black Black Black Black Green Green Red\nBlack Black Black Black Black Black Green Red Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Yellow Blue Blue Yellow Blue Blue Yellow Blue\nYellow Yellow Blue Yellow Yellow Blue Yellow Yellow Blue\nYellow Blue Blue Yellow Blue Blue Yellow Blue Blue\nBlue Yellow Blue Blue Yellow Blue Blue Yellow Blue\nYellow Yellow Blue Yellow Yellow Blue Yellow Yellow Blue\nYellow Blue Blue Yellow Blue Blue Yellow Blue Blue\nBlue Yellow Blue Blue Yellow Blue Blue Yellow Blue\nYellow Yellow Blue Yellow Yellow Blue Yellow Yellow Blue\nYellow Blue Blue Yellow Blue Blue Yellow Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlue Blue Blue Blue Blue Black Black Black Black Black\nGreen Green Green Green Blue Black Black Black Black Black\nYellow Yellow Yellow Green Blue Black Black Black Black Black\nYellow Yellow Yellow Green Blue Black Black Black Black Black\nYellow Yellow Yellow Green Blue Black Black Black Black Black\nGreen Green Green Green Blue Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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\nBlue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Green Green Green Green Green Blue Black Black Black\nBlue Green Green Green Green Green Blue Black Black Black\nBlue Green Green Green Green Green Blue Black Black Black\nBlue Green Green Green Green Green Blue Black Black Black\nBlue Green Green Green Green Green Blue Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlue Blue Blue Blue Blue Blue Black Black Black Black\nGreen Green Green Green Green Blue Black Black Black Black\nGreen Green Green Green Green Blue Black Black Black Black\nGreen Green Green Green Green Blue Black Black Black Black\nGreen Green Green Green Green Blue Black Black Black Black\nGreen Green Green Green Green Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Green Green Green Green Green Blue Black Black\nBlack Blue Green Gray Gray Gray Green Blue Black Black\nBlack Blue Green Gray Gray Gray Green Blue Black Black\nBlack Blue Green Gray Gray Gray Green Blue Black Black\nBlack Blue Green Green Green Green Green Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Green Green Black Black Black Black\nBlack Black Black Yellow Green Green Black Black Black Black\nBlack Black Black Yellow Green Green Blue Black Black Black\nBlack Black Black Yellow Green Green Blue Black Black Black\nBlack Black Black Yellow Green Green Blue Black Black Black\nBlack Black Black Black Green Green Blue Black Black Black\nBlack Black Black Black Green Green Blue Black Black Black\nBlack Black Black Black Green Green Blue Black Black Black\nBlack Black Black Black Green Green Blue Black Black Black\nBlack Black Black Black Green Green Blue Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue 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\n\nOutput:\nBlack Black Black Yellow Green Green Green Black Black Black\nBlack Black Black Yellow Green Green Green Black Black Black\nBlack Black Black Yellow Green Green Green Black Black Black\nBlack Black Black Yellow Green Green Green Black Black Black\nBlack Black Black Yellow Green Green Green Blue Black Black\nBlack Black Black Yellow Green Green Green Blue Black Black\nBlack Black Black Yellow Green Green Green Blue Black Black\nBlack Black Black Black Green Green Green Blue Black Black\nBlack Black Black Black Green Green Green Blue Black Black\nBlack Black Black Black Green Green Green Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Green Black Black Black\nBlack Black Black Black Black Yellow Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Blue Black Black\nBlack Black Black Black Black Black Green Blue Black Black\nBlack Black Black Black Black Black Green Blue Black Black\nBlack Black Black Black Black Black Green Blue Black Black\nBlack Black Black Black Black Black Green Blue Black Black\nBlack Black Black Black Black Black Green Blue Black Black\nBlack Black Black Black Black Black Green Blue Black Black\n\n\nHere is the input grid for the test example:\nInput:\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 Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 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 Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red 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 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 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 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 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 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 Green Green Green Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Green Green Green Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Green Green Green Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Green Green Green Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Pink Pink Pink Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Pink Pink Pink Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Pink Pink Pink Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Red Red Red Blue Blue Blue Red Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 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 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 Yellow Yellow 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 Black Black Black Yellow Yellow 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 Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack 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 Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue 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 Blue Blue Blue 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Yellow Yellow Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Orange Black Black Black\nBlack Black Black Black Orange Black Black Black Orange Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Orange\nOrange Black Black Black Black Orange Orange Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Yellow 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 Yellow\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Black Orange Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green\nOrange Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Orange Orange Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\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 Green Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nYellow Black Yellow Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Orange Black Orange Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nOrange Black Orange 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 Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Yellow Yellow Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Green Green Green Green Green\nBlack Black Black Black Orange Orange Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Orange Orange Black Orange Black Black Black\nBlack Black Black Black Orange 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 Gray Orange Blue Brown\nPurple Gray Pink Orange Brown\nGreen Green Orange Orange Brown\nOrange Gray Orange Blue Pink\nGray Purple Orange Yellow Purple\n\nOutput:\nPurple Gray Pink Orange Brown Brown Blue Pink Orange Purple\nGreen Green Orange Orange Brown Green Green Orange Orange Purple\nOrange Gray Orange Blue Pink Orange Blue Orange Gray Pink\nGray Purple Orange Yellow Purple Blue Brown Orange Yellow Brown\n\n\nExample 2\nInput:\nGray Pink Red Purple\nPink Blue Gray Red\nOrange Brown Blue Purple\nBrown Gray Brown Brown\nPurple Purple Brown Pink\nOrange Blue Orange Brown\n\nOutput:\nPink Blue Gray Red Red Blue Purple Pink\nOrange Brown Blue Purple Orange Brown Blue Gray\nBrown Gray Brown Brown Brown Purple Brown Brown\nPurple Purple Brown Pink Gray Gray Brown Red\nOrange Blue Orange Brown Orange Blue Orange Brown\n\n\nExample 3\nInput:\nPurple Brown Pink Red Green\nGreen Blue Orange Purple Pink\nOrange Gray Pink Blue Purple\nYellow Orange Green Purple Blue\nBlue Brown Green Orange Gray\nRed Yellow Pink Purple Orange\n\nOutput:\nGreen Blue Orange Purple Pink Purple Blue Orange Green Pink\nOrange Gray Pink Blue Purple Orange Gray Pink Blue Green\nYellow Orange Green Purple Blue Yellow Orange Purple Green Blue\nBlue Brown Green Orange Gray Blue Red Purple Orange Gray\nRed Yellow Pink Purple Orange Brown Yellow Pink Green Orange\n\n\nHere is the input grid for the test example:\nInput:\nYellow Brown Blue\nBrown Blue Pink\nGray Pink Gray\nPink Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Blue Pink Brown Yellow Pink\nGray Pink Gray Gray Pink Gray\nPink Brown Brown Pink Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\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 Purple 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 Black Black\n\nOutput:\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Purple\nBlack Black Purple Black Black Black Purple Black\nBlack Black Purple Black Black Purple Black Black\nPurple Black Purple Black Purple Black Black Black\nBlack Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple\nBlack Purple Purple Purple Black Black Black Black\nPurple Black Purple Black Purple Black Black Black\nBlack Black Purple Black Black Purple Black Black\nBlack Black Purple Black Black Black Purple Black\nBlack Black Purple Black Black Black Black Purple\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black 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 Orange Black Black Black Orange Black Black\nOrange Black Black Orange Black Black Orange Black Black Black\nBlack Orange Black Orange Black Orange Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Black Black Black Black Black\nBlack Orange Black Orange Black Orange Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Black Black Black Black Black Gray Black\nBlack Black Black Gray Black Black Black Black Gray Black Black\nBlack Black Black Gray Black Black Black Gray Black Black Black\nGray Black Black Gray Black Black Gray Black Black Black Black\nBlack Gray Black Gray Black Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Pink Black Black Black Pink Black Black\nBlack Black Pink Black Black Pink Black Black Black\nPink Black Pink Black Pink Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Black Black Black Black Black\nPink Black Pink Black Pink Black Black Black Black\nBlack Black Pink Black Black Pink Black Black Black\nBlack Black Pink Black Black Black Pink Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Orange Orange Green Green Orange Orange\nBlack Black Black Black Orange Orange Green Green Orange Orange\nBlack Black Black Black Pink Pink Purple Purple Orange Orange\nBlack Black Black Black Pink Pink Purple Purple Orange Orange\nBlack Black Black Black Pink Pink Purple Purple Orange Orange\nBlack Black Black Black Pink Pink Purple Purple Orange Orange\nBlack Black Black Black Orange Orange Green Green Orange Orange\nBlack Black Black Black Orange Orange Green Green Orange Orange\n\nOutput:\nBlack Black Black Black Orange Orange Green Green Orange Orange Black Black Black Black Orange Orange Green Green Orange Orange\nBlack Black Black Black Orange Orange Green Green Orange Orange Black Black Black Black Orange Orange Green Green Orange Orange\nBlack Black Black Black Pink Pink Purple Purple Orange Orange Black Black Black Black Pink Pink Purple Purple Orange Orange\nBlack Black Black Black Pink Pink Purple Purple Orange Orange Black Black Black Black Pink Pink Purple Purple Orange Orange\nBlack Black Black Black Pink Pink Purple Purple Orange Orange Black Black Black Black Pink Pink Purple Purple Orange Orange\nBlack Black Black Black Pink Pink Purple Purple Orange Orange Black Black Black Black Pink Pink Purple Purple Orange Orange\nBlack Black Black Black Orange Orange Green Green Orange Orange Black Black Black Black Orange Orange Green Green Orange Orange\nBlack Black Black Black Orange Orange Green Green Orange Orange Black Black Black Black Orange Orange Green Green Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Blue\nBlack Black Black Black Blue Blue\nBlack Black Black Black Blue Blue\nBlack Black Black Black Blue Blue\nBlack Black Black Black Blue Blue\nBlack Black Black Black Blue Blue\n\nOutput:\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Green Green\nRed Red Red Red Red Red Red Red Green Green\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray\nRed Red Red Red Red Red Red Red Green Green\nRed Red Red Red Red Red Red Red Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green\nRed Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray\nRed Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green\nRed Red Red Red Red Red Red Red Green Green Red Red Red Red Red Red Red Red Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Green Red Black Black Black\nBlack Black Black Black Black Black Brown Gray Red Black Black Black\nBlack Black Black Black Black Black Brown Gray Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Green Green Red Red\nBrown Brown Green Green Red Red\nBrown Brown Gray Gray Red Red\nBrown Brown Gray Gray Red Red\nBrown Brown Gray Gray Yellow Yellow\nBrown Brown Gray Gray Yellow Yellow\n\n\nExample 2\nInput:\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Gray Orange Blue Black Black Black Black Black Black Black Black Black Black\nBlack Pink Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black\nYellow 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\nYellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nGray Gray Orange Orange Blue Blue\nGray Gray Orange Orange Blue Blue\nPink Pink Purple Purple Purple Purple\nPink Pink Purple Purple Purple Purple\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Red Black\nBlack Black Black Black Black Black Black Black Black Black Green Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Green Yellow Yellow Black\n\nOutput:\nPurple Purple Purple Purple Red Red\nPurple Purple Purple Purple Red Red\nGreen Green Yellow Yellow Yellow Yellow\nGreen Green Yellow Yellow Yellow Yellow\nGreen Green Yellow Yellow Yellow Yellow\nGreen Green Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Orange Green Gray Gray Black Black Black Black Black\nBlack Black Black Green Green Brown Pink Black Black Black Black Black\nBlack Black Black Blue Blue Orange Purple Black Black Black Black Black\nBlack Black Black Brown Pink Pink Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Green Green Gray Gray Gray Gray\nOrange Orange Green Green Gray Gray Gray Gray\nGreen Green Green Green Brown Brown Pink Pink\nGreen Green Green Green Brown Brown Pink Pink\nBlue Blue Blue Blue Orange Orange Purple Purple\nBlue Blue Blue Blue Orange Orange Purple Purple\nBrown Brown Pink Pink Pink Pink Purple Purple\nBrown Brown Pink Pink Pink Pink 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 Green Green Gray Gray Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Green Gray Gray Black Black Black Black Red Red\nBlack Black Purple Purple Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Yellow Yellow Green Green Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Gray Gray Yellow Yellow Green Green Black Black Black Black Red Red\nBlack Black Brown Brown Black Black Orange Orange Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Orange Orange Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green\nBlack Black Black Black Orange Orange Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlue Blue Pink Pink Black Black Black Black Black Black Purple Purple Yellow Yellow Orange Orange Yellow Yellow Red Red\nBlue Blue Pink Pink Black Black Black Black Black Black Purple Purple Yellow Yellow Orange Orange Yellow Yellow Red Red\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Pink Pink Black Black Black Black Green Green Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Pink Pink Black Black Black Black Green Green 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 Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray\nBlack Black Purple Purple Pink Pink Black Black Yellow Yellow Black Black Black Black Gray Gray Black Black Blue Blue\nBlack Black Purple Purple Pink Pink Black Black Yellow Yellow Black Black Black Black Gray Gray Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Red Black Black Purple Purple\nBlue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Orange Orange Yellow Yellow Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Orange Orange Yellow Yellow Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Pink Pink Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Yellow Yellow Black Black Black Black Pink Pink Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Orange Orange Pink Pink Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Black Black Orange Orange Pink Pink Black Black Black Black Green Green Red Red Black Black Black Black\nBlack Black Pink Pink Purple Purple Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Purple Purple Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Purple Purple Black Black Red Red Yellow Yellow Red Red\nOrange Orange Black Black Black Black Black Black Black Black Purple Purple Black Black Red Red Yellow Yellow Red Red\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 Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Purple Purple Blue Blue Blue Blue\nBlack Black Black Black Pink Pink Red Red Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Red Red 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\nOrange Orange Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Red Red Black Black Red Red Black Black Purple Purple Black Black Black Black\nBlack Black Pink Pink Black Black Red Red Black Black Red Red Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Orange Orange Black Black Brown Brown Blue Blue\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Orange Orange Black Black Brown Brown Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Gray Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Gray Orange Orange\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black\nBrown Brown Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Green Green Yellow Yellow\nBrown Brown Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Green Green Yellow Yellow\nOrange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\nOrange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple\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 Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\n\n\nHere is the input grid for the test example:\nInput:\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 Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Brown Brown\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Gray Gray Green Green Black Black Black Black Black Black Gray Gray Black Black Black Black Blue Blue\nBlack Black Gray Gray Green Green Black Black Black Black Black Black Gray Gray Black Black Black Black Blue Blue\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Green Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black\nBlack Purple Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black\nOrange Blue Orange Blue Black Black Blue Black\nBlack Green Blue Black Black Blue Yellow Blue\nOrange Black Orange Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Black\nOrange Yellow Orange Black Black Blue Black Black\nBlack Blue Black Black Blue Yellow Blue Black\nBlack Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Orange Black Orange Black\nBlack Black Black Black Black Green Black Black\nBlack Black Black Black Orange Black Orange Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Pink Black Black Yellow Black Black Black Black Black\nBlack Green Black Green Black Black Black Black Black Black\nBlack Black Orange Black Black Blue Black Black Yellow Black\n\nOutput:\nBlack Orange Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Black Black\nOrange Pink Orange Blue Orange Blue Black Black Black Black\nBlack Green Black Green Blue Black Black Black Blue Black\nOrange Black Orange Black Orange Blue Black Blue Yellow Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Orange Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Orange Black Orange\nBlack Red Black Black Orange Black Black Black Black Green Black\nBlue Black Black Black Black Black Black Black Orange Black Orange\nYellow Blue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\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\nYellow Black Black Black Black Black Black Black Black\nGreen Black Black Orange Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nYellow Blue Black Black Black Black Blue Black Black\nBlue Black Black Orange Black Blue Yellow Blue Black\nBlack Orange Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Black Black Black\nBlack Black Black Green Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Green Green Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Green Green Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Orange Orange Black Pink Pink\nBlack Black Black Black Orange Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Black Black\nGreen Green Black Black Black Black Black Black Black\nGreen Green 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:\nPurple Purple Purple\nPurple Purple Purple\nPurple Purple Purple\nGreen Green Green\nGreen Green Green\nGreen Green Green\nPink Pink Pink\nPink Pink Pink\nPink Pink Pink\nBlack Black Black\nBlack Black Black\nBlack Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Green Green\nBrown Brown Black Black Black Black Black Black Black Green Green\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 Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black\n\nOutput:\nBrown Brown Brown\nBrown Brown Brown\nBrown Brown Brown\nGreen Green Green\nGreen Green Green\nGreen Green Green\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nBlack Black Black\nBlack Black Black\nBlack Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nGreen Green Green\nGreen Green Green\nGreen Green Green\nBlack Black Black\nBlack Black Black\nBlack Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black 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 Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown 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```\nBrown Brown Brown\nBrown Brown Brown\nBrown Brown Brown\nPink Pink Pink\nPink Pink Pink\nPink Pink Pink\nBlack Black Black\nBlack Black Black\nBlack Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Purple Purple Purple Purple Gray Gray Gray\nGray Gray Gray Purple Purple Purple Purple Gray Gray Gray\nGray Gray Gray Purple Purple Purple Purple Gray Gray Gray\nGray Gray Gray Purple Purple Purple Purple Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nRed Gray Gray Gray Gray Gray Gray Gray Gray Green\n\nOutput:\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\n\n\nExample 2\nInput:\nRed Gray Gray Gray Gray Gray Gray Yellow\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Purple Purple Purple Gray Gray\nGray Gray Gray Purple Purple Purple Gray Gray\nGray Gray Gray Purple Purple Purple Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Green\n\nOutput:\nGreen Green Green\nGreen Green Green\nGreen Green Green\n\n\nExample 3\nInput:\nYellow Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Purple Purple Purple Purple Gray Gray Gray\nGray Gray Gray Purple Purple Purple Purple Gray Gray Gray\nGray Gray Gray Purple Purple Purple Purple Gray Gray Gray\nGray Gray Gray Purple Purple Purple Purple Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nRed Gray Gray Gray Gray Gray Gray Gray Gray Green\n\nOutput:\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nRed Gray Gray Gray Gray Gray Gray Gray Gray Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Purple Purple Purple Gray Gray Gray\nGray Gray Gray Gray Purple Purple Purple Gray Gray Gray\nGray Gray Gray Gray Purple Purple Purple Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green\nGreen Green Green\nGreen Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nRed Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red\nRed Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red\nRed Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red\nRed Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nRed Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red\nRed Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red\nRed Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red\nRed Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black\nBlack 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 Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack 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 Orange Orange Orange Orange\nBlack 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 Orange Orange Orange Orange\nBlack 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 Orange Orange Orange Orange Black Black Black Black\nBlack 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 Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nRed Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red\nRed Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red\nRed Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red\nRed Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Red Red Red Red\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nRed Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red\nRed Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red\nRed Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red\nRed Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Red Red Black Black Black Black Black Orange Orange\nBlack Black Red Red Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Brown Brown Black Black Yellow Yellow Black Purple Purple\nBlack Black Brown Brown Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Blue Blue Black Black Yellow Yellow Black Black\nGreen Green Black Blue Blue Black Black Yellow Yellow 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 Orange Black\nOrange Black Orange\nBlack Orange Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Blue Blue Black Black Yellow Yellow\nBlack Black Gray Gray Black Blue Blue Black Black Yellow Yellow\nBlack Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Purple Purple Black Yellow Yellow Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Pink Pink Black Black Brown Brown Black\nBlack Black Black Black Pink Pink Black Black Brown Brown Black\n\nOutput:\nBlack Yellow Black\nYellow Black Yellow\nBlack Yellow Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Pink Pink Black Black Black Yellow Yellow\nBlack Black Black Black Black Pink Pink Black Black Black Yellow Yellow\nBlack Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Red Red Black Orange Orange Black Black\nBlack Black Black Black Black Red Red Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Yellow Yellow Black Blue Blue Black Black Orange Orange Black\nBlack Black Yellow Yellow Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Black\nYellow Black Yellow\nBlack Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Yellow Black Black Black Black Black Black Brown Brown\nBlack Yellow Yellow Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Brown Brown Black Red Red Black\nBlack Black Black Black Black Brown Brown Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Blue Blue Black Black Black Black Black Pink Pink\nBlack Black Blue Blue Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Brown Black\nBrown Black Brown\nBlack 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:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Green Green Red Red Black Red Black\nBlack Black Black Black Green Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Green Green Red Red Black Red\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black\nBlack Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green 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 Green\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\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Green Red Red Red Black\nBlack Black Red Red Red Black\nBlack Black Blue Blue Black Black\nBlack Black Green Blue Red Black\nBlack Black Blue Blue Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Green Red\nBlack Black Black Black Black Red\nBlack Black Black Black Black Blue\nBlack Black Black Black Black Green\nBlack Black Black Black Black Blue\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 Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Yellow Red Red Red Black Black Black Black\nBlack Yellow Blue Blue Green Black Black Black Black Black\nBlack Red Blue 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 Red 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray Gray Black Black\nBlack Black Gray Gray Black Black\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Black Black\nBlack Black Gray Gray 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 Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Black Black Black Black Pink Pink Pink Pink Black Black Black Black Brown Brown Brown Brown Black Black\nBrown Brown Black Black Black Black Pink Pink Pink Pink Black Black Black Black Brown Brown Brown Brown Black Black\n\nOutput:\nBlack Black Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Black Black\nBrown Brown Brown Brown Black Black\n\n\nExample 3\nInput:\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Red Red Black Black Red Red Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Red Red Black Black Red Red Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black 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 Orange Orange Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nBlack Black Green Green Green Green\nBlack Black Green Green Green Green\nBlack Black Black Black Green Green\nBlack Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange 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\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black 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 Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nRed Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nRed Red Black Black Red Red Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nRed Red Black Black Red Red Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Black Black Red Red\nRed Red Black Black Red Red\nRed Red Black Black Red Red\nRed Red Black Black Red Red\nRed Red Black Black Black Black\nRed Red Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Red Brown Red Black Black\nBlack Gray Gray Brown Brown Brown Yellow Black\nBlack Green Gray Brown Black Brown Blue Black\nBlack Gray Gray Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black\nBlack Black Black Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Pink Pink Black\nBlack Black Black Black Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Black Black Black Black\nBlack Gray Red Red Blue Black Black Black\nBlack Gray Red Red Black Black Black Black\nBlack Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Black Black\nBlack Pink Black Pink Black Black Black Black\nBlack Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Blue Blue Black\nBlack Black Black Blue Blue Black\nBlack Black Black Gray Black Black\nBlack Black Black Yellow Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black 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 Green Blue Black Black Black Black Blue Black\nBlack Green Blue Black Black Black Black Purple Black\nBlack Black Black Black Yellow Black Black Blue Black\nBlack Black Black Black Yellow Yellow Blue 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 Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Orange Black Black\nBlack Pink Black Black Black Black Orange Black Black Orange Black Black\nBlack Pink Black Black Black Black Orange Black Black Orange Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Orange Black Black Black Black Black Black\nBlack Black Orange Black Black Orange Black Black Black Black Pink Black\nBlack Black Orange Black Black Orange Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nRed Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nPurple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink 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 Orange Purple Purple\nBlack Black Black Black Black Black Red Red Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nPurple Purple Orange Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Pink Black Black Black Black Gray Gray\nYellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Brown Black Black\nBlack Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Brown Black Black Black\nBlack Black Brown 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:\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 Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\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 Green Black Black\nBlack Black Black Black Black Green Yellow Yellow Black\nBlack Black Black Black Black Black Yellow 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 Red Black Black\nBlack Black Black Black Black Blue Red Red 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 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 Black Black Black Black Black 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 Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Red Blue Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow 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 Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black\nBlack Black Black Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Purple\nBlack Black Black Purple Purple Purple Black\nBlack Black Black Black Purple Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Yellow Black\nBlack Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Black Black Yellow Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Purple Black\nBlack Black Purple Purple Purple Black Purple Purple Purple\nBlack Black Black Purple Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow\nBlack Black Black Yellow 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 Purple Purple Purple\nBlack Purple Purple Purple Purple\nBlack Black Purple Purple Purple\nBlack Black Black Purple 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:\nOrange Orange Gray Green\nOrange Pink Pink Green\nPink Brown Orange Orange\nYellow Purple Brown Orange\n\nOutput:\nGreen Green Green Green Gray Gray Green Green\nGreen Green Green Green Gray Gray Green Green\nGreen Green Pink Pink Pink Pink Green Green\nGreen Green Pink Pink Pink Pink Green Green\nPink Pink Brown Brown Green Green Green Green\nPink Pink Brown Brown Green Green Green Green\nYellow Yellow Purple Purple Brown Brown Green Green\nYellow Yellow Purple Purple Brown Brown Green Green\n\n\nExample 2\nInput:\nYellow Green Red Purple\nOrange Pink Orange Brown\nBlue Blue Brown Gray\nRed Gray Blue Brown\n\nOutput:\nYellow Yellow Green Green Red Red Purple Purple\nYellow Yellow Green Green Red Red Purple Purple\nGreen Green Pink Pink Green Green Brown Brown\nGreen Green Pink Pink Green Green Brown Brown\nBlue Blue Blue Blue Brown Brown Gray Gray\nBlue Blue Blue Blue Brown Brown Gray Gray\nRed Red Gray Gray Blue Blue Brown Brown\nRed Red Gray Gray Blue Blue Brown Brown\n\n\nExample 3\nInput:\nYellow Blue Orange Purple\nYellow Orange Gray Yellow\nRed Purple Pink Orange\nGreen Pink Blue Green\n\nOutput:\nYellow Yellow Blue Blue Green Green Purple Purple\nYellow Yellow Blue Blue Green Green Purple Purple\nYellow Yellow Green Green Gray Gray Yellow Yellow\nYellow Yellow Green Green Gray Gray Yellow Yellow\nRed Red Purple Purple Pink Pink Green Green\nRed Red Purple Purple Pink Pink Green Green\nGreen Green Pink Pink Blue Blue Green Green\nGreen Green Pink Pink Blue Blue Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Orange Blue Gray\nGreen Orange Pink Pink\nPink Gray Gray Brown\nBrown Brown Pink Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Green Green Blue Blue Gray Gray\nGray Gray Green Green Blue Blue Gray Gray\nGreen Green Green Green Pink Pink Pink Pink\nGreen Green Green Green Pink Pink Pink Pink\nPink Pink Gray Gray Gray Gray Brown Brown\nPink Pink Gray Gray Gray Gray Brown Brown\nBrown Brown Brown Brown Pink Pink Brown Brown\nBrown Brown Brown Brown Pink Pink Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Black\nBlack Black Black Green Green Green Black Green Black\nBlack Black Black Black Green Green Black Black Black\nBlack Black Black Green Green Green Black Green Black\nBlack Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green 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 Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Black Blue Black\nBlack Black Black Black Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red 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\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 Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black\nBlack Black Black Red Red Red Black Black\nBlack Black Red Red Red Black Black Black\nBlack Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Orange Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray 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\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Gray Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink 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```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black 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 Black Black Black Black 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 Black Black Black Black 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 Black Black Black Black 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 Black Black Black Black 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 Black Black Black Black 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 Black Black Black Black 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 Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Orange Orange 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 Yellow Yellow Yellow Orange Orange 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 Yellow Yellow Yellow Orange Orange 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 Yellow Yellow Yellow Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Yellow Yellow Yellow Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Green Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 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 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 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 Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Gray 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 Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray Black Black Black Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Blue Yellow Yellow Blue Blue Yellow\nBlue Yellow Yellow Red Blue Blue Red Yellow\nRed Yellow Yellow Red Yellow Red Yellow Yellow\nBlue Blue Blue Red Yellow Red Yellow Blue\nRed Yellow Red Blue Red Blue Blue Yellow\nRed Yellow Yellow Yellow Yellow Yellow Blue Blue\nRed Yellow Yellow Yellow Yellow Yellow Yellow Blue\nYellow Red Yellow Blue Red Red Red Red\nYellow Yellow Yellow Blue Red Red Yellow Blue\nRed Blue Red Red Blue Blue Red Yellow\nRed Red Yellow Blue Yellow Yellow Yellow Blue\nBlue Red Red Blue Yellow Yellow Red Blue\nBlue Yellow Yellow Yellow Blue Red Blue Yellow\nYellow Blue Blue Red Blue Yellow Yellow Red\nYellow Yellow Yellow Blue Blue Blue Blue Yellow\nRed Blue Red Red Yellow Red Blue Red\nBlue Yellow Red Red Yellow Blue Red Red\nRed Yellow Blue Blue Yellow Blue Yellow Blue\n\nOutput:\nGreen Green Green Orange Green Green Gray Green\nGreen Green Green Orange Green Gray Gray Orange\nGray Green Green Orange Green Gray Orange Green\nGray Green Green Gray Orange Gray Green Green\nGray Green Gray Gray Orange Gray Green Green\nOrange Orange Orange Green Orange Green Green Green\nOrange Orange Yellow Green Orange Orange Green Gray\nOrange Orange Green Green Orange Orange Orange Gray\nOrange Orange Orange Gray Gray Gray Orange Gray\nOrange Green Orange Gray Gray Gray Orange Green\nGray Gray Orange Gray Green Green Orange Green\nGray Orange Orange Green Green Orange Orange Green\nGreen Orange Orange Green Green Orange Gray Green\nGreen Green Green Orange Green Orange Green Orange\nOrange Green Green Gray Green Green Green Orange\nOrange Green Orange Gray Green Gray Gray Orange\nGray Green Gray Gray Green Gray Gray Gray\nGray Green Gray Gray Green Green Orange Gray\n\n\nExample 2\nInput:\nBlue Red Red Blue Yellow Blue Yellow Red Yellow Yellow\nRed Red Red Red Blue Blue Red Blue Yellow Red\nYellow Red Yellow Blue Red Red Red Yellow Yellow Red\nYellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Blue Red\nBlue Blue Yellow Red Yellow Blue Yellow Red Red Blue\nBlue Red Blue Red Yellow Blue Blue Red Blue Red\nRed Yellow Yellow Blue Blue Yellow Yellow Blue Yellow Blue\n\nOutput:\nGray Gray Gray Gray Green Green Orange Gray Orange Orange\nGray Red Orange Gray Green Gray Orange Gray Orange Orange\nOrange Orange Orange Gray Gray Gray Orange Green Green Orange\nGreen Orange Yellow Green Gray Orange Orange Orange Green Gray\nGreen Green Green Orange Green Green Green Orange Gray Gray\nGray Gray Green Gray Green Green Green Gray Gray Gray\nGray Orange Green Gray Green Green Green Gray Green Gray\n\n\nExample 3\nInput:\nYellow Red Yellow Red Blue Blue Blue Blue Yellow Red Red\nYellow Yellow Yellow Blue Red Blue Blue Blue Red Yellow Blue\nBlue Blue Red Yellow Yellow Red Blue Red Red Yellow Red\nRed Yellow Blue Blue Red Yellow Blue Yellow Blue Blue Blue\nYellow Blue Red Red Blue Yellow Blue Red Red Red Blue\nYellow Blue Yellow Red Blue Red Red Red Yellow Blue Red\nRed Yellow Blue Yellow Red Red Red Yellow Yellow Red Blue\n\nOutput:\nOrange Orange Orange Gray Gray Blue Blue Green Orange Orange Gray\nGreen Orange Orange Gray Gray Gray Blue Gray Orange Orange Gray\nGreen Green Orange Green Orange Gray Gray Gray Gray Green Gray\nGray Green Gray Green Orange Orange Green Orange Gray Green Gray\nOrange Green Gray Gray Gray Orange Gray Orange Gray Gray Gray\nOrange Green Orange Orange Gray Orange Gray Orange Orange Gray Gray\nOrange Green Green Orange Gray Red Orange Orange Orange Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Blue Yellow Red Blue Red Blue Blue\nRed Blue Red Blue Red Blue Red Red Yellow\nRed Yellow Red Blue Blue Blue Yellow Blue Red\nBlue Red Blue Red Red Blue Blue Yellow Yellow\nYellow Yellow Red Yellow Blue Red Blue Blue Blue\nYellow Red Yellow Red Blue Blue Yellow Red Yellow\nRed Blue Blue Blue Yellow Red Yellow Yellow Red\nRed Red Red Blue Red Blue Blue Red Yellow\nYellow Blue Blue Red Blue Yellow Blue Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Gray Gray Green Gray Gray Gray Gray Green\nGray Gray Gray Green Gray Gray Orange Gray Green\nGray Green Gray Gray Gray Green Orange Gray Orange\nGray Orange Gray Gray Gray Gray Green Green Orange\nGreen Orange Gray Orange Gray Gray Green Green Green\nOrange Orange Orange Orange Green Gray Green Gray Green\nOrange Gray Green Gray Green Gray Green Orange Orange\nOrange Gray Gray Gray Orange Gray Green Orange Orange\nOrange Gray Gray Gray Gray Green Gray Gray Orange\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 Red Black Black Orange Orange Black Yellow Black Orange Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Purple Orange Black Black Black Black Black\nBlack Purple Black Purple Red Black Purple Yellow Black Blue Black Orange Black Purple Black Purple Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black Pink Black Pink\nBlack Green Brown Black Black Red Gray Black Black Black Red Black Black Blue Black Purple Brown\nYellow Black Black Black Black Red Pink Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Pink Black Green Black Yellow Black Black Black\nPurple Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Yellow Yellow Black Black Black Pink Black Black Black Red Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Green Orange Gray Black Black\nPurple Black Green Black Black Black Black Black Black Green Black Black Black Black Black Blue Purple\nRed Black Black Black Black Black Black Black Black Yellow Gray Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Brown Orange\n\nOutput:\nBlack Black Red Red Red Orange Orange Orange Yellow Yellow Orange Orange Yellow Yellow Yellow Black Black\nPurple Purple Red Red Red Orange Orange Orange Yellow Yellow Orange Orange Yellow Yellow Yellow Purple Purple\nPurple Purple Purple Red Red Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple Purple Purple\nPurple Purple Purple Red Red Purple Yellow Yellow Blue Blue Orange Orange Purple Purple Purple Purple Purple\nGreen Brown Brown Brown Red Gray Brown Brown Brown Brown Red Red Blue Pink Pink Pink Pink\nGreen Brown Brown Brown Red Gray Gray Gray Purple Red Red Red Blue Blue Purple Brown Brown\nYellow Yellow Purple Purple Red Pink Pink Pink Purple Purple Purple Green Yellow Yellow Yellow Black Black\nPurple Purple Purple Purple Purple Red Red Red Pink Pink Green Green Yellow Yellow Yellow Red Black\nPurple Purple Black Brown Yellow Red Red Red Black Pink Pink Pink Orange Red Red Red Black\nBlue Blue Green Brown Yellow Yellow Yellow Yellow Green Pink Pink Pink Orange Red Red Red Purple\nPurple Green Green Brown Brown Brown Black Black Green Green Green Green Orange Gray Gray Gray Purple\nPurple Green Green Green Black Black Black Black Green Green Green Gray Black Green Blue Purple Purple\nRed Red Black Black Black Black Black Black Yellow Gray Gray Gray Black Green Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Black Black Black Black Black Black Black Yellow Black Black Purple Black Black Gray\nGray Black Black Black Black Black Black Black Yellow Black Yellow Black Red Brown Black\nBlack Black Purple Black Black Black Black Purple Gray Black Black Black Black Black Black\nBlack Black Purple Black Black Green Black Black Purple Black Black Black Black Black Black\nBlack Purple Orange Black Black Orange Green Black Pink Black Pink Black Brown Black Green\nOrange Pink Black Black Purple Black Black Black Black Black Orange Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlue Orange Black Black Black Black Pink Black Brown Black Black Black Black Pink Black\nBlack Black Black Black Black Red Black Pink Black Purple Black Black Black Black Orange\nPink Black Red Black Black Blue Black Black Black Yellow Black Black Black Black Black\nBlack Brown Black Gray Black Blue Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Red Purple Black Black\n\nOutput:\nGreen Green Black Black Black Black Black Yellow Yellow Yellow Purple Purple Purple Gray Gray\nGreen Green Purple Purple Black Black Purple Yellow Yellow Yellow Purple Purple Purple Gray Gray\nGray Gray Purple Purple Green Green Purple Yellow Yellow Yellow Yellow Red Brown Brown Brown\nPurple Purple Purple Purple Green Green Purple Gray Gray Gray Pink Brown Brown Green Green\nPurple Purple Purple Purple Green Green Green Purple Purple Purple Pink Brown Brown Green Green\nPurple Orange Orange Orange Orange Green Green Pink Pink Pink Pink Brown Brown Green Green\nPink Pink Pink Purple Purple Purple Pink Brown Brown Orange Orange Orange Yellow Yellow Yellow\nOrange Orange Orange Black Red Pink Pink Brown Brown Brown Green Green Green Pink Pink\nOrange Orange Orange Red Red Pink Pink Brown Brown Brown Purple Black Pink Pink Pink\nPink Red Red Red Red Red Pink Pink Purple Purple Purple Black Black Orange Orange\nPink Red Red Red Blue Blue Blue Black Yellow Yellow Yellow Purple Purple Purple Black\nBrown Brown Gray Gray Blue Blue Blue Black Black Black Red Purple Purple Purple Black\n\n\nExample 3\nInput:\nPurple Black Black Green Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Brown Blue\nRed Black Black Blue Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Pink Black Brown Black Black Black Black Black Brown Black Black Black Black\nYellow Blue Black Orange Black Black Black Black Black Black Black Black Gray Orange Black Black\nBlack Black Gray Black Orange Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Pink Black Blue Black Black Black Black Black Orange\nBlack Black Black Black Black Blue Black Black Yellow Pink Black Black Black Green Black Pink\nBlack Black Pink Purple Black Black Black Black Pink Black Black Black Black Black Black Brown\nGreen Black Black Black Purple Black Gray Black Black Black Red Purple Black Yellow Black Purple\nBlack Black Black Pink Black Black Blue Black Black Black Black Black Black Black Black Black\nBrown Black Blue Black Black Black Purple Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue\nPurple Purple Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue\nRed Gray Gray Gray Blue Brown Brown Black Black Black Brown Yellow Yellow Brown Blue Blue\nRed Red Blue Blue Blue Brown Brown Black Black Black Brown Yellow Yellow Yellow Orange Black\nBlue Blue Pink Pink Brown Brown Brown Black Black Black Brown Brown Brown Orange Orange Yellow\nBlue Blue Orange Orange Orange Orange Pink Pink Blue Blue Blue Gray Orange Orange Orange Yellow\nBlack Gray Gray Orange Orange Orange Pink Pink Blue Blue Blue Black Green Yellow Yellow Yellow\nBlack Pink Purple Purple Blue Blue Pink Pink Blue Blue Blue Black Green Green Orange Orange\nGreen Pink Purple Purple Blue Blue Blue Yellow Pink Pink Pink Purple Green Green Pink Pink\nGreen Pink Purple Purple Purple Gray Gray Pink Pink Pink Purple Purple Yellow Yellow Brown Brown\nGreen Green Pink Purple Purple Gray Gray Gray Black Red Purple Purple Yellow Yellow Purple Purple\nBrown Blue Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Gray Pink Black Black Black Pink Brown Black Black\nBlack Black Pink Gray Orange Black Black Black Black Black Black Black Black Red\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 Blue Black\nBlack Black Black Black Gray Black Pink Black Brown Green Black Orange Black Black\nGray Black Black Black Black Black Black Black Black Black Orange Brown Black Black\nBlack Black Gray Black Black Black Black Brown Black Black Black Black Black Black\nBlack Brown Black Black Purple Black Black Black Yellow Black Blue Black Pink Black\nBlack Black Black Black Pink Purple Black Black Black Gray Black Black Black Black\nBlack Purple Black Black Black Black Green Orange Black Black Black Brown Purple Black\nYellow Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Red Black Black Green Black Gray Black Black Black\nBlack Black Black Black Black Green Black Orange Black Black Pink Black Black Black\nBlack Yellow Red Black Black Blue Yellow Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Gray Orange Gray Pink Pink Pink Black Pink Brown Brown Brown Red\nBlack Pink Gray Orange Gray Pink Pink Pink Black Pink Brown Brown Brown Red\nBlack Pink Gray Orange Orange Orange Black Black Yellow Yellow Yellow Blue Red Red\nBlack Black Black Gray Gray Pink Pink Brown Yellow Yellow Yellow Blue Blue Blue\nGray Gray Black Gray Gray Pink Pink Brown Yellow Yellow Yellow Blue Blue Blue\nGray Gray Gray Gray Gray Pink Pink Brown Green Green Orange Orange Orange Black\nGray Gray Gray Gray Purple Purple Brown Brown Brown Orange Brown Brown Brown Pink\nBrown Gray Gray Gray Purple Purple Brown Brown Brown Blue Blue Pink Pink Pink\nBrown Brown Brown Purple Purple Purple Purple Yellow Yellow Blue Blue Pink Pink Pink\nPurple Purple Purple Pink Purple Purple Purple Orange Gray Gray Gray Purple Purple Purple\nPurple Purple Purple Brown Brown Green Orange Orange Orange Gray Brown Purple Purple Purple\nYellow Yellow Yellow Brown Brown Brown Red Green Green Gray Gray Gray Black Black\nYellow Yellow Yellow Red Red Red Red Green Green Gray Gray Gray Black Black\nYellow Red Red Red Green Green Orange Orange Orange Pink Pink Pink Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black\nBrown Brown Black\nBlack Black Black\n\nOutput:\nBlack Brown Brown\nBrown Brown Black\nBlack Black Black\n\n\nExample 2\nInput:\nBlack Black Green\nBlack Black Green\nGreen Green Green\n\nOutput:\nBlack Green Green\nBlack Green Green\nGreen Green Green\n\n\nExample 3\nInput:\nBlack Black Black\nBlack Gray Black\nGray Gray Black\n\nOutput:\nBlack Black Gray\nBlack Gray Gray\nGray Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black\nGray Black Black\nBlack Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Black\nGray Gray Black\nBlack 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 Purple Yellow\nPink Yellow Pink\nGray Purple Brown\n\nOutput:\nOrange Purple Yellow Black Black Black Orange Purple Yellow\nPink Yellow Pink Black Black Black Pink Yellow Pink\nGray Purple Brown Black Black Black Gray Purple Brown\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\nOrange Purple Yellow Black Black Black Orange Purple Yellow\nPink Yellow Pink Black Black Black Pink Yellow Pink\nGray Purple Brown Black Black Black Gray Purple Brown\n\n\nExample 2\nInput:\nOrange Pink Green\nRed Blue Yellow\nBlue Pink Green\n\nOutput:\nOrange Pink Green Black Black Black Orange Pink Green\nRed Blue Yellow Black Black Black Red Blue Yellow\nBlue Pink Green Black Black Black Blue Pink Green\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\nOrange Pink Green Black Black Black Orange Pink Green\nRed Blue Yellow Black Black Black Red Blue Yellow\nBlue Pink Green Black Black Black Blue Pink Green\n\n\nExample 3\nInput:\nGray Orange Green\nYellow Yellow Brown\nBlue Green Red\n\nOutput:\nGray Orange Green Black Black Black Gray Orange Green\nYellow Yellow Brown Black Black Black Yellow Yellow Brown\nBlue Green Red Black Black Black Blue Green Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGray Orange Green Black Black Black Gray Orange Green\nYellow Yellow Brown Black Black Black Yellow Yellow Brown\nBlue Green Red Black Black Black Blue Green Red\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Gray\nPink Green Gray\nBrown Gray 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```\nPink Gray Gray Black Black Black Pink Gray Gray\nPink Green Gray Black Black Black Pink Green Gray\nBrown Gray Brown Black Black Black Brown Gray Brown\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\nPink Gray Gray Black Black Black Pink Gray Gray\nPink Green Gray Black Black Black Pink Green Gray\nBrown Gray Brown Black Black Black Brown Gray Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Black Black Black Black\nOrange Orange Orange Black Black Black Black\nOrange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray 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:\nRed Red Black Black Black Black Black Black Black Pink Pink Pink Pink\nRed Red Black Black Black Black Black Black Black Pink Pink Pink Pink\nRed Red Black Black Black Black Black Black Black Pink Pink Pink Pink\nRed Red Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPurple Purple Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nPurple Purple Black Black Black Black Black Pink Pink Pink Black Black Black\nPurple Purple Black Brown Brown Brown Black Black Black Black Black Black Black\nPurple Purple Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nYellow Yellow Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nYellow Yellow Black Black Black Black Black Pink Pink Pink Black Black Black\nYellow Yellow Black Brown Brown Brown Black Black Black Black Black Black Black\nYellow Yellow Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Red Black Black Black Black Black Black Black Blue Blue\nRed Red Red Black Black Black Black Black Black Black Blue Blue\nRed Red Red Black Black Black Black Black Black Black Blue Blue\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Orange Orange Orange Orange Black Red Red Red Red Black Black\nBlack Orange Orange Orange Orange Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Orange Orange Orange Orange Black Red Red Red Red Black Black\nBlack Orange Orange Orange Orange Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Gray Gray Green Green Black Black Black Black\nBlack Black Black Black Gray Gray Green Green Black Black Black Black\nBlack Black Black Black Gray Gray Green Green Black Black Black Black\nPurple Purple Purple Black Gray Gray Green Green Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Gray Gray Gray Red Red Red Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Gray Gray Green Green Black Black Black Black\nBlack Black Black Black Gray Gray Green Green Black Black Black Black\nBlack Black Black Black Gray Gray Green Green Black Black Black Black\nYellow Yellow Yellow Black Gray Gray Green Green Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Red Red Red 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\n\n\nHere is the input grid for the test example:\nInput:\nRed Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Yellow Yellow Black Black Brown Brown Red Red Red Red\nRed Red Red Red Red Red Yellow Yellow Black Black Brown Brown Red Red Red Red\nRed Red Brown Brown Yellow Yellow Yellow Yellow Black Black Brown Brown Brown Brown Red Red\nRed Red Brown Brown Yellow Yellow Yellow Yellow Black Black Brown Brown Brown Brown Red Red\nBrown Brown Brown Brown Green Green Green Green Black Black Green Green Yellow Yellow Red Red\nBrown Brown Brown Brown Green Green Green Green Black Black Green Green Yellow Yellow Red Red\nBlack Black Black Black Black Black Purple Purple Purple Purple Green Green Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Purple Purple Purple Purple Green Green Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Green Green Purple Purple Purple Purple Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Green Green Purple Purple Purple Purple Black Black Black Black Black Black\nRed Red Yellow Yellow Green Green Black Black Green Green Green Green Brown Brown Brown Brown\nRed Red Yellow Yellow Green Green Black Black Green Green Green Green Brown Brown Brown Brown\nRed Red Brown Brown Brown Brown Black Black Yellow Yellow Yellow Yellow Brown Brown Red Red\nRed Red Brown Brown Brown Brown Black Black Yellow Yellow Yellow Yellow Brown Brown Red Red\nRed Red Red Red Brown Brown Black Black Yellow Yellow Red Red Red Red Red Red\nRed Red Red Red Brown Brown Black Black Yellow Yellow Red Red Red Red Red Red\n\nOutput:\nRed Red Red Red Brown Brown Black Black Red Red Red Red Red Red Red Red\nRed Red Red Red Brown Brown Black Black Red Red Red Red Red Red Red Red\nRed Red Brown Brown Brown Brown Black Black Red Red Red Red Brown Brown Red Red\nRed Red Brown Brown Brown Brown Black Black Red Red Red Red Brown Brown Red Red\nRed Red Red Red Green Green Black Black Green Green Green Green Brown Brown Brown Brown\nRed Red Red Red Green Green Black Black Green Green Green Green Brown Brown Brown Brown\nRed Red Red Red Green Green Pink Pink Pink Pink Black Black Black Black Black Black\nRed Red Red Red Green Green Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Green Green Red Red Red Red\nBlack Black Black Black Black Black Pink Pink Pink Pink Green Green Red Red Red Red\nBrown Brown Brown Brown Green Green Green Green Black Black Green Green Red Red Red Red\nBrown Brown Brown Brown Green Green Green Green Black Black Green Green Red Red Red Red\nRed Red Brown Brown Red Red Red Red Black Black Brown Brown Brown Brown Red Red\nRed Red Brown Brown Red Red Red Red Black Black Brown Brown Brown Brown Red Red\nRed Red Red Red Red Red Red Red Black Black Brown Brown Red Red Red Red\nRed Red Red Red Red Red Red Red Black Black Brown Brown Red Red Red Red\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Black Black Purple Purple Black Black Orange Orange Orange Orange\nOrange Orange Orange Orange Black Black Purple Purple Black Black Orange Orange Orange Orange\nOrange Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange\nOrange Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange\nOrange Orange Pink Pink Pink Pink Purple Purple Pink Pink Pink Pink Orange Orange\nOrange Orange Pink Pink Pink Pink Purple Purple Pink Pink Pink Pink Orange Orange\nGray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray\nGray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray\nGray Gray Green Green Orange Orange Orange Orange Orange Orange Green Green Gray Gray\nGray Gray Green Green Orange Orange Orange Orange Orange Orange Green Green Gray Gray\nGray Gray Green Green Orange Orange Orange Orange Orange Orange Green Green Gray Gray\nGray Gray Green Green Orange Orange Orange Orange Orange Orange Green Green Gray Gray\nGray Gray Black Black Orange Orange Pink Pink Orange Orange Black Black Gray Gray\nGray Gray Black Black Orange Orange Pink Pink Orange Orange Black Black Gray Gray\n\nOutput:\nOrange Orange Orange Orange Black Black Pink Pink Black Black Orange Orange Orange Orange\nOrange Orange Orange Orange Black Black Pink Pink Black Black Orange Orange Orange Orange\nOrange Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange\nOrange Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange\nOrange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange\nOrange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange\nOrange Orange Green Green Green Green Green Green Green Green Green Green Orange Orange\nOrange Orange Green Green Green Green Green Green Green Green Green Green Orange Orange\nOrange Orange Green Green Orange Orange Orange Orange Orange Orange Green Green Orange Orange\nOrange Orange Green Green Orange Orange Orange Orange Orange Orange Green Green Orange Orange\nOrange Orange Green Green Orange Orange Orange Orange Orange Orange Green Green Orange Orange\nOrange Orange Green Green Orange Orange Orange Orange Orange Orange Green Green Orange Orange\nOrange Orange Black Black Orange Orange Pink Pink Orange Orange Black Black Orange Orange\nOrange Orange Black Black Orange Orange Pink Pink Orange Orange Black Black Orange Orange\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Purple Purple Brown Brown Orange Orange Brown Brown Purple Purple Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Purple Brown Brown Orange Orange Brown Brown Purple Purple Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Brown Brown Brown Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange\nBlue Blue Pink Pink Pink Pink Brown Brown Purple Purple Brown Brown Pink Pink Pink Pink Blue Blue\nBlue Blue Pink Pink Pink Pink Brown Brown Purple Purple Brown Brown Pink Pink Pink Pink Blue Blue\nBlue Blue Brown Brown Red Red Red Red Red Red Red Red Red Red Brown Brown Blue Blue\nBlue Blue Brown Brown Red Red Red Red Red Red Red Red Red Red Brown Brown Blue Blue\nGray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray\nGray Gray Gray Gray Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray\nGray Gray Gray Gray Orange Orange Gray Gray Pink Pink Gray Gray Orange Orange Gray Gray Gray Gray\nGray Gray Gray Gray Orange Orange Gray Gray Pink Pink Gray Gray Orange Orange Gray Gray Gray Gray\nPurple Purple Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Purple Purple\nPurple Purple Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Purple Purple\n\nOutput:\nOrange Orange Orange Orange Pink Pink Brown Brown Orange Orange Brown Brown Pink Pink Orange Orange Orange Orange\nOrange Orange Orange Orange Pink Pink Brown Brown Orange Orange Brown Brown Pink Pink Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Brown Brown Brown Pink Pink Brown Brown Brown Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Brown Brown Brown Brown Pink Pink Brown Brown Brown Brown Orange Orange Orange Orange\nGreen Green Pink Pink Pink Pink Brown Brown Pink Pink Brown Brown Pink Pink Pink Pink Green Green\nGreen Green Pink Pink Pink Pink Brown Brown Pink Pink Brown Brown Pink Pink Pink Pink Green Green\nGreen Green Brown Brown Red Red Red Red Red Red Red Red Red Red Brown Brown Green Green\nGreen Green Brown Brown Red Red Red Red Red Red Red Red Red Red Brown Brown Green Green\nOrange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange\nOrange Orange Orange Orange Green Green Green Green Green Green Green Green Green Green Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange\nPink Pink Orange Orange Green Green Green Green Green Green Green Green Green Green Orange Orange Pink Pink\nPink Pink Orange Orange Green Green Green Green Green Green Green Green Green Green Orange Orange Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Blue Blue Blue Blue Green Green Gray Gray Orange Orange Orange Orange Pink Pink Brown Brown\nPurple Purple Blue Blue Blue Blue Green Green Gray Gray Orange Orange Orange Orange Pink Pink Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Orange Orange Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Orange Orange Pink Pink Pink Pink\nRed Red Purple Purple Purple Purple Blue Blue Yellow Yellow Yellow Yellow Pink Pink Pink Pink Red Red\nRed Red Purple Purple Purple Purple Blue Blue Yellow Yellow Yellow Yellow Pink Pink Pink Pink Red Red\nYellow Yellow Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Green Green Red Red\nYellow Yellow Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Green Green Red Red\nBlack Black Blue Blue Green Green Pink Pink Pink Pink Green Green Green Green Green Green Orange Orange\nBlack Black Blue Blue Green Green Pink Pink Pink Pink Green Green Green Green Green Green Orange Orange\nYellow Yellow Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Green Green Red Red\nYellow Yellow Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Green Green Red Red\nRed Red Purple Purple Purple Purple Blue Blue Yellow Yellow Yellow Yellow Pink Pink Pink Pink Red Red\nRed Red Purple Purple Purple Purple Blue Blue Yellow Yellow Yellow Yellow Pink Pink Pink Pink Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Orange Orange Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Orange Orange Pink Pink Pink Pink\nPurple Purple Blue Blue Blue Blue Green Green Gray Gray Orange Orange Orange Orange Pink Pink Brown Brown\nPurple Purple Blue Blue Blue Blue Green Green Gray Gray Orange Orange Orange Orange Pink Pink Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Pink Pink Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Pink Pink\nBrown Brown Pink Pink Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Pink Pink\nPink Pink Pink Pink Orange Orange Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Orange Orange Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink\nRed Red Pink Pink Pink Pink Red Red Red Red Green Green Pink Pink Pink Pink Red Red\nRed Red Pink Pink Pink Pink Red Red Red Red Green Green Pink Pink Pink Pink Red Red\nRed Red Green Green Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Red Red\nRed Red Green Green Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Red Red\nOrange Orange Green Green Green Green Green Green Pink Pink Pink Pink Green Green Green Green Black Black\nOrange Orange Green Green Green Green Green Green Pink Pink Pink Pink Green Green Green Green Black Black\nRed Red Green Green Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Red Red\nRed Red Green Green Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Red Red\nRed Red Pink Pink Pink Pink Red Red Red Red Green Green Pink Pink Pink Pink Red Red\nRed Red Pink Pink Pink Pink Red Red Red Red Green Green Pink Pink Pink Pink Red Red\nPink Pink Pink Pink Orange Orange Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Orange Orange Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Pink Pink Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green Pink Pink\nBrown Brown Pink Pink Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green 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 Red Red Red\nBlue Red Red Red\nBlue Red Red Red\n\nOutput:\nBlack Red Black Black\nBlack Red Black Black\nBlack Red Black Black\n\n\nExample 2\nInput:\nGreen Yellow Yellow Yellow\nGreen Yellow Yellow Yellow\nGreen Yellow Yellow Yellow\n\nOutput:\nBlack Yellow Black Black\nBlack Yellow Black Black\nBlack Yellow Black Black\n\n\nExample 3\nInput:\nYellow Green Green Green\nYellow Green Green Green\nYellow Green Green Green\n\nOutput:\nBlack Green Black Black\nBlack Green Black Black\nBlack Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Blue Blue Blue\nYellow Blue Blue Blue\nYellow 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```\nBlack Blue Black Black\nBlack Blue Black Black\nBlack Blue Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Blue Red Red Blue Black Black Black Black Black Black\nBlack Black Black Blue Red Red Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Purple Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Blue 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 Gray Black Black Brown Black Black\nBlack Black Black Black Black Black Green Gray Green Brown Blue Brown Black\nBlack Black Black Black Black Black Green Green Green Black Brown Black Black\nBlack Black Black Black Black Black Green Black Green Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Brown Black Black\nBlack Black Black Black Black Black Green Gray Green Brown Blue Brown Black\nBlack Black Black Black Black Black Green Green Green Black Brown Black Black\nBlack Black Black Black Black Black Green Black Green Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nRed Purple Black Black Black Black Black Black Black Black Black Black\nRed Purple Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Blue Black\nBlack Black Blue Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black\nRed Purple Black Black Black Black Black Black Black Black Black Black\nRed Purple Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black\nBlack Black Black Blue Black Black Black Black Black Black Blue Blue Yellow Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Blue Blue Yellow Black Black Black Black\nBlack Black Black Black Black Black Pink Purple Purple Pink Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Brown Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Blue Blue Yellow Black Black Black Black\nBlack Black Black Black Black Black Pink Purple Purple Pink Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue 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 Orange Pink Pink Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Yellow Blue Pink Brown\nBlack Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Brown\nBlack Black Black Black Black Black Black Yellow Blue Pink Brown\nBlack Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (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 Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Green Black Green\nBlue Blue Black Black Black Black Black Green Black Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Orange Orange Black Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Red Black Black Yellow Black Black\nBlack Red Red Red Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Red Red Black Black\nBrown Brown Brown Black Black Black Black Red Red Black\nBlack Black Brown Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red 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 Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Orange Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Orange Orange Orange Black Black\nBlack Orange Black Black Black Orange Orange Orange Orange Black\nOrange Orange Orange Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black\nRed Red Red Black Black Orange Orange Orange Black Black\nRed Black Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Red Red Red Black Black Black Black\nBlack Black Black Red Black Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nGray Green Red Black Black Purple Black Black Black Purple\nBlack Black Blue Purple Black Black Black Black Gray Black\nBlue Yellow Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Red Black Black Black Black Black Red Black\nBlack Black Black Orange Black Black Gray Brown Yellow Black\nBlack Black Black Black Blue Black Black Purple Black Black\nBlack Black Black Black Blue Black Orange Black Black Black\nBlack Black Black Black Black Yellow Pink Black Black Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nGray Green Red Black Black Purple Black Black Black Purple\nBlack Black Blue Purple Black Black Black Black Gray Black\nBlue Yellow Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Red Black Black Black Black Black Red Black\nBlack Black Black Orange Black Black Gray Pink Yellow Black\nBlack Black Black Black Blue Black Black Purple Black Black\nBlack Black Black Black Blue Black Orange Black Black Black\nBlack Black Black Black Black Yellow Pink Black Black Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Brown Black Black Black\nPurple Black Black Blue Black Black Orange Orange Black Black\nPurple Black Black Black Black Black Black Brown Purple Yellow\nBlack Black Black Black Gray Orange Blue Black Gray Black\nBlack Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Gray Black Black Black Yellow Yellow Purple\nBlack Red Black Black Black Black Black Black Black Black\nRed Black Black Black Black Green Black Black Yellow Black\nBlack Black Orange Black Gray Black Black Pink Black Blue\nBlack Black Black Black Black Black Black Pink Black Pink\n\nOutput:\nBlack Black Black Black Black Black Brown Black Black Black\nPurple Black Black Blue Black Black Orange Orange Black Black\nPurple Black Black Black Black Black Black Brown Purple Yellow\nBlack Black Black Black Gray Orange Blue Black Gray Black\nBlack Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Gray Black Black Black Yellow Yellow Purple\nBlack Red Black Black Black Black Black Black Black Black\nRed Black Black Black Black Pink Black Black Yellow Black\nBlack Black Orange Black Gray Black Black Pink Black Blue\nBlack Black Black Black Black Black Black Pink Black Pink\n\n\nExample 3\nInput:\nGreen Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Orange Black Black Black Yellow Black Black Green\nBlack Blue Orange Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Purple Black\nBlack Black Black Black Black Black Green Pink Red Black\nBlack Black Black Brown Black Black Pink Blue Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBrown Black Black Red Pink Black Yellow Black Black Red\nBlack Pink Green Black Black Black Black Black Blue Red\n\nOutput:\nGreen Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Orange Black Black Black Yellow Black Black Green\nBlack Blue Orange Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Purple Black\nBlack Black Black Black Black Black Green Pink Red Black\nBlack Black Black Brown Black Black Pink Blue Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBrown Black Black Red Pink Black Yellow Black Black Red\nBlack Pink Green Black Black Black Black Black Blue Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Gray Black Black Gray Black\nGreen Black Black Black Black Black Orange Black Black Gray\nBlack Black Black Black Yellow Pink Brown Black Black Pink\nBlack Black Black Black Brown Blue Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Red Orange Black Black Black Black\nBlack Black Yellow Pink Orange Black Black Black Black Black\nBlue Black Green Black Black Black Black Black Black Black\nBlack Black Black Pink Gray Black Black Black Black Yellow\nBlack Brown Black Purple Yellow Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Gray Black Black Gray Black\nGreen Black Black Black Black Black Orange Black Black Gray\nBlack Black Black Black Yellow Pink Brown Black Black Pink\nBlack Black Black Black Brown Blue Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Pink Orange Black Black Black Black\nBlack Black Yellow Pink Orange Black Black Black Black Black\nBlue Black Green Black Black Black Black Black Black Black\nBlack Black Black Pink Gray Black Black Black Black Yellow\nBlack Brown Black Purple Yellow 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 Orange Orange Pink Pink Purple Purple\nYellow Yellow Orange Orange Pink Pink Purple Purple\nPurple Purple Gray Gray Orange Orange Orange Orange\nPurple Purple Gray Gray Orange Orange Orange Orange\nRed Red Orange Orange Brown Brown Pink Pink\nRed Red Orange Orange Brown Brown Pink Pink\nOrange Orange Blue Blue Green Green Yellow Yellow\nOrange Orange Blue Blue Green Green Yellow Yellow\nOrange Orange Pink Pink Green Green Pink Pink\nOrange Orange Pink Pink Green Green Pink Pink\nGreen Green Gray Gray Orange Orange Brown Brown\nGreen Green Gray Gray Orange Orange Brown Brown\nOrange Orange Purple Purple Orange Orange Purple Purple\nOrange Orange Purple Purple Orange Orange Purple Purple\nBlue Blue Orange Orange Brown Brown Gray Gray\nBlue Blue Orange Orange Brown Brown Gray Gray\n\nOutput:\nBlue Blue Orange Orange Brown Brown Gray Gray\nBlue Blue Orange Orange Brown Brown Gray Gray\nYellow Yellow Orange Orange Pink Pink Purple Purple\nYellow Yellow Orange Orange Pink Pink Purple Purple\nPurple Purple Gray Gray Orange Orange Orange Orange\nPurple Purple Gray Gray Orange Orange Orange Orange\nRed Red Orange Orange Brown Brown Pink Pink\nRed Red Orange Orange Brown Brown Pink Pink\nOrange Orange Blue Blue Green Green Yellow Yellow\nOrange Orange Blue Blue Green Green Yellow Yellow\nOrange Orange Pink Pink Green Green Pink Pink\nOrange Orange Pink Pink Green Green Pink Pink\nGreen Green Gray Gray Orange Orange Brown Brown\nGreen Green Gray Gray Orange Orange Brown Brown\nOrange Orange Purple Purple Orange Orange Purple Purple\nOrange Orange Purple Purple Orange Orange Purple Purple\n\n\nExample 2\nInput:\nYellow Yellow Blue Blue Brown Brown Red Red Yellow Yellow\nYellow Yellow Blue Blue Brown Brown Red Red Yellow Yellow\nOrange Orange Orange Orange Brown Brown Orange Orange Blue Blue\nOrange Orange Orange Orange Brown Brown Orange Orange Blue Blue\nYellow Yellow Brown Brown Purple Purple Brown Brown Red Red\nYellow Yellow Brown Brown Purple Purple Brown Brown Red Red\nBlue Blue Pink Pink Purple Purple Blue Blue Green Green\nBlue Blue Pink Pink Purple Purple Blue Blue Green Green\nPurple Purple Green Green Brown Brown Purple Purple Pink Pink\nPurple Purple Green Green Brown Brown Purple Purple Pink Pink\nPurple Purple Green Green Pink Pink Brown Brown Blue Blue\nPurple Purple Green Green Pink Pink Brown Brown Blue Blue\nPink Pink Yellow Yellow Orange Orange Gray Gray Gray Gray\nPink Pink Yellow Yellow Orange Orange Gray Gray Gray Gray\n\nOutput:\nPink Pink Yellow Yellow Orange Orange Gray Gray Gray Gray\nPink Pink Yellow Yellow Orange Orange Gray Gray Gray Gray\nYellow Yellow Blue Blue Brown Brown Red Red Yellow Yellow\nYellow Yellow Blue Blue Brown Brown Red Red Yellow Yellow\nOrange Orange Orange Orange Brown Brown Orange Orange Blue Blue\nOrange Orange Orange Orange Brown Brown Orange Orange Blue Blue\nYellow Yellow Brown Brown Purple Purple Brown Brown Red Red\nYellow Yellow Brown Brown Purple Purple Brown Brown Red Red\nBlue Blue Pink Pink Purple Purple Blue Blue Green Green\nBlue Blue Pink Pink Purple Purple Blue Blue Green Green\nPurple Purple Green Green Brown Brown Purple Purple Pink Pink\nPurple Purple Green Green Brown Brown Purple Purple Pink Pink\nPurple Purple Green Green Pink Pink Brown Brown Blue Blue\nPurple Purple Green Green Pink Pink Brown Brown Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Purple Purple Blue Blue Orange Orange Brown Brown\nBlue Blue Purple Purple Blue Blue Orange Orange Brown Brown\nGray Gray Orange Orange Blue Blue Gray Gray Yellow Yellow\nGray Gray Orange Orange Blue Blue Gray Gray Yellow Yellow\nGreen Green Gray Gray Brown Brown Pink Pink Yellow Yellow\nGreen Green Gray Gray Brown Brown Pink Pink Yellow Yellow\nGray Gray Pink Pink Green Green Blue Blue Red Red\nGray Gray Pink Pink Green Green Blue Blue Red Red\nBlue Blue Purple Purple Orange Orange Purple Purple Green Green\nBlue Blue Purple Purple Orange Orange Purple Purple Green Green\nBlue Blue Brown Brown Gray Gray Yellow Yellow Blue Blue\nBlue Blue Brown Brown Gray Gray Yellow Yellow Blue Blue\nPurple Purple Yellow Yellow Red Red Orange Orange Orange Orange\nPurple Purple Yellow Yellow Red Red Orange Orange Orange Orange\nOrange Orange Brown Brown Yellow Yellow Green Green Purple Purple\nOrange Orange Brown Brown Yellow Yellow Green Green Purple Purple\nPurple Purple Pink Pink Pink Pink Purple Purple Pink Pink\nPurple Purple Pink Pink Pink Pink Purple Purple Pink Pink\n\nOutput:\nPurple Purple Pink Pink Pink Pink Purple Purple Pink Pink\nPurple Purple Pink Pink Pink Pink Purple Purple Pink Pink\nBlue Blue Purple Purple Blue Blue Orange Orange Brown Brown\nBlue Blue Purple Purple Blue Blue Orange Orange Brown Brown\nGray Gray Orange Orange Blue Blue Gray Gray Yellow Yellow\nGray Gray Orange Orange Blue Blue Gray Gray Yellow Yellow\nGreen Green Gray Gray Brown Brown Pink Pink Yellow Yellow\nGreen Green Gray Gray Brown Brown Pink Pink Yellow Yellow\nGray Gray Pink Pink Green Green Blue Blue Red Red\nGray Gray Pink Pink Green Green Blue Blue Red Red\nBlue Blue Purple Purple Orange Orange Purple Purple Green Green\nBlue Blue Purple Purple Orange Orange Purple Purple Green Green\nBlue Blue Brown Brown Gray Gray Yellow Yellow Blue Blue\nBlue Blue Brown Brown Gray Gray Yellow Yellow Blue Blue\nPurple Purple Yellow Yellow Red Red Orange Orange Orange Orange\nPurple Purple Yellow Yellow Red Red Orange Orange Orange Orange\nOrange Orange Brown Brown Yellow Yellow Green Green Purple Purple\nOrange Orange Brown Brown Yellow Yellow Green Green Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Gray Gray Pink Pink\nPink Pink Gray Gray Pink Pink\nPurple Purple Pink Pink Gray Gray\nPurple Purple Pink Pink Gray Gray\nBrown Brown Gray Gray Green Green\nBrown Brown Gray Gray Green Green\nYellow Yellow Pink Pink Pink Pink\nYellow Yellow Pink Pink Pink Pink\nBlue Blue Brown Brown Brown Brown\nBlue Blue Brown Brown Brown Brown\nOrange Orange Brown Brown Gray Gray\nOrange Orange Brown Brown Gray Gray\nOrange Orange Orange Orange Brown Brown\nOrange Orange Orange Orange Brown Brown\nPink Pink Pink Pink Blue Blue\nPink Pink Pink Pink Blue Blue\nGray Gray Pink Pink Pink Pink\nGray 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 Pink Pink Pink Pink\nGray Gray Pink Pink Pink Pink\nPink Pink Gray Gray Pink Pink\nPink Pink Gray Gray Pink Pink\nPurple Purple Pink Pink Gray Gray\nPurple Purple Pink Pink Gray Gray\nBrown Brown Gray Gray Green Green\nBrown Brown Gray Gray Green Green\nYellow Yellow Pink Pink Pink Pink\nYellow Yellow Pink Pink Pink Pink\nBlue Blue Brown Brown Brown Brown\nBlue Blue Brown Brown Brown Brown\nOrange Orange Brown Brown Gray Gray\nOrange Orange Brown Brown Gray Gray\nOrange Orange Orange Orange Brown Brown\nOrange Orange Orange Orange Brown Brown\nPink Pink Pink Pink Blue Blue\nPink Pink 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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow 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 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 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 Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Orange Blue Green Yellow Green Red Green Pink Orange\nPurple Blue Green Yellow Orange Pink Orange Pink Purple Brown\nBlack Purple Black Brown Gray Purple Black Orange Pink Purple\nPurple Blue Orange Green Gray Orange Pink Yellow Pink Gray\nPink Purple Purple Green Yellow Purple Red Gray Red Brown\nBlue Blue Orange Orange Orange Yellow Pink Black Red Green\nGray Pink Brown Orange Pink Green Pink Brown Purple Gray\nBrown Gray Red Black Red Orange Brown Pink Pink Pink\nPink Yellow Black Brown Brown Red Blue Brown Gray Orange\nOrange Brown Gray Purple Green Red Orange Yellow Yellow Green\n\nOutput:\nBlue Black Yellow Red Blue Red Green Red Brown Black\nOrange Yellow Red Blue Black Brown Black Brown Orange Pink\nOrange Orange Orange Pink Gray Orange Orange Black Brown Orange\nOrange Yellow Black Red Gray Black Brown Blue Brown Gray\nBrown Orange Orange Red Blue Orange Green Gray Green Pink\nYellow Yellow Black Black Black Blue Brown Orange Green Red\nGray Brown Pink Black Brown Red Brown Pink Orange Gray\nPink Gray Green Orange Green Black Pink Brown Brown Brown\nBrown Blue Orange Pink Pink Green Yellow Pink Gray Black\nBlack Pink Gray Orange Red Green Black Blue Blue Red\n\n\nExample 2\nInput:\nBlack Purple Brown Pink Blue Orange Orange Gray Purple Yellow\nYellow Blue Green Gray Pink Blue Orange Purple Yellow Black\nOrange Blue Blue Pink Gray Orange Black Pink Purple Gray\nOrange Red Orange Yellow Brown Black Green Black Orange Red\nBlue Pink Orange Yellow Orange Gray Pink Pink Black Blue\nGray Orange Brown Purple Green Blue Green Gray Brown Black\nGreen Orange Orange Brown Yellow Red Green Purple Purple Green\nGray Yellow Purple Green Brown Black Brown Orange Brown Pink\nBlack Pink Purple Pink Gray Pink Red Orange Pink Gray\nRed Yellow Pink Gray Yellow Gray Red Purple Blue Red\n\nOutput:\nOrange Orange Pink Brown Yellow Black Black Gray Orange Blue\nBlue Yellow Red Gray Brown Yellow Black Orange Blue Orange\nBlack Yellow Yellow Brown Gray Black Orange Brown Orange Gray\nBlack Green Black Blue Pink Orange Red Orange Black Green\nYellow Brown Black Blue Black Gray Brown Brown Orange Yellow\nGray Black Pink Orange Red Yellow Red Gray Pink Orange\nRed Black Black Pink Blue Green Red Orange Orange Red\nGray Blue Orange Red Pink Orange Pink Black Pink Brown\nOrange Brown Orange Brown Gray Brown Green Black Brown Gray\nGreen Blue Brown Gray Blue Gray Green Orange Yellow Green\n\n\nExample 3\nInput:\nGray Gray Red Green Black Brown Orange Yellow Orange Black\nBlack Orange Black Pink Red Yellow Gray Pink Black Red\nBlue Gray Yellow Black Purple Red Yellow Red Brown Brown\nOrange Gray Red Green Blue Yellow Pink Purple Brown Blue\nOrange Green Pink Brown Orange Black Brown Black Gray Green\nRed Purple Black Green Pink Gray Brown Black Yellow Green\nBlack Gray Orange Black Brown Purple Orange Orange Pink Purple\nRed Brown Gray Red Orange Green Gray Red Gray Yellow\nBlue Yellow Purple Green Black Purple Green Pink Orange Pink\nRed Black Purple Red Black Brown Blue Green Pink Red\n\nOutput:\nGray Gray Green Red Orange Pink Black Blue Black Orange\nOrange Black Orange Brown Green Blue Gray Brown Orange Green\nYellow Gray Blue Orange Orange Green Blue Green Pink Pink\nBlack Gray Green Red Yellow Blue Brown Orange Pink Yellow\nBlack Red Brown Pink Black Orange Pink Orange Gray Red\nGreen Orange Orange Red Brown Gray Pink Orange Blue Red\nOrange Gray Black Orange Pink Orange Black Black Brown Orange\nGreen Pink Gray Green Black Red Gray Green Gray Blue\nYellow Blue Orange Red Orange Orange Red Brown Black Brown\nGreen Orange Orange Green Orange Pink Yellow Red Brown Green\n\n\nHere is the input grid for the test example:\nInput:\nPink Orange Green Black Brown Red Pink Brown Gray Purple\nRed Brown Brown Gray Brown Gray Orange Gray Pink Yellow\nPink Red Blue Black Red Blue Blue Pink Purple Purple\nYellow Brown Black Green Black Pink Purple Pink Purple Gray\nPurple Brown Orange Purple Green Yellow Brown Black Gray Red\nYellow Pink Brown Pink Orange Red Brown Green Yellow Yellow\nGreen Orange Blue Purple Orange Orange Gray Purple Gray Brown\nBlue Yellow Yellow Orange Pink Green Blue Orange Yellow Gray\nGray Black Yellow Orange Purple Pink Black Gray Gray Yellow\nRed Pink Green Blue Red Black Yellow Gray 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```\nBrown Black Red Orange Pink Green Brown Pink Gray Orange\nGreen Pink Pink Gray Pink Gray Black Gray Brown Blue\nBrown Green Yellow Orange Green Yellow Yellow Brown Orange Orange\nBlue Pink Orange Red Orange Brown Orange Brown Orange Gray\nOrange Pink Black Orange Red Blue Pink Orange Gray Green\nBlue Brown Pink Brown Black Green Pink Red Blue Blue\nRed Black Yellow Orange Black Black Gray Orange Gray Pink\nYellow Blue Blue Black Brown Red Yellow Black Blue Gray\nGray Orange Blue Black Orange Brown Orange Gray Gray Blue\nGreen Brown Red Yellow Green Orange Blue Gray Orange Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray\nGray Blue Green Red Gray\n\nOutput:\nRed Gray Blue Green Gray\nGray Blue Green Red Gray\n\n\nExample 2\nInput:\nGray Gray Gray Gray Gray Gray\nGray Red Purple Brown Blue Gray\n\nOutput:\nBlue Gray Red Purple Brown Gray\nGray Red Purple Brown Blue Gray\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray\nBrown Red Green Purple Pink Gray\n\nOutput:\nPink Brown Red Green Purple Gray\nBrown Red Green Purple Pink Gray\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray\nYellow Orange Green 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```\nGreen Yellow Orange Gray\nYellow Orange Green Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Blue Pink Orange Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Yellow 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\nBlack Black Black Black Black Black Black Black 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:\nBlue Pink Orange\nGreen Green Pink\nYellow Black Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Green Black Green Gray Black Black Black Blue Brown Black Black Black Black\nBlack Brown Black Black Gray Black Black Black Black Purple Black Brown Black Black\nBlack Pink Red Black Black Black Black Black Black Black Purple Yellow Black Black\nBlack Red Orange Black Purple Black Black Black Red Yellow 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 Blue Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Green Yellow Black Black Blue Brown Black Black\nBlack Black Black Black Black Black Red Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Brown Green Black\nGreen Purple Yellow Brown\nGreen Yellow Purple Yellow\nRed Yellow Gray Brown\nRed Orange 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 Blue Black Pink Gray Yellow Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Blue Black Black Black Black\nBlack Black Black Pink Pink Pink Green Black Black Black Black Pink Purple Black\nBlack Black Black Gray Black Pink Brown Green Black Black Black Red Purple Black\nBlack Black Black Yellow Red Pink Black Gray Black Black Yellow Black Green Black\nBlack Black Black Yellow Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Orange Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Gray Black\nBlack Gray Orange Pink\nBlack Black Black Orange\nBlack Black Gray 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\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 Black Purple Green Black Brown Black Black\nBlack Black Black Black Black Black Blue Purple Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Blue Black Brown Green Black Pink Black Red Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Yellow Gray Black Green Brown Black Black Black Black Black Black Black Black\nBlack Orange Black Orange Black Red Purple Black Black Black Black Black Black Black Black\nBlack Black Red Green Pink Brown Red Black Black Black Black Black Black Black Black\nBlack Green Red Gray Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Purple Black\nBlack Purple Green\nBlack Black Orange\nBlack Black Pink\nBlack Black Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Red Gray Red Gray Red\nRed Gray Red Gray Red Gray\nGray Red Gray Red Gray Red\nRed Gray Red Gray Red Gray\nGray Red Gray Red Gray Red\nRed Gray Red Gray Red Gray\n\nOutput:\nRed Gray Red Gray Red Gray\nGray Red Gray Red Gray Red\nRed Gray Red Gray Red Gray\nGray Red Gray Red Gray Red\nRed Gray Red Gray Red Gray\nGray Red Gray Red Gray Red\n\n\nExample 2\nInput:\nBrown Orange Brown Orange\nOrange Brown Orange Brown\nBrown Orange Brown Orange\nOrange Brown Orange Brown\n\nOutput:\nOrange Brown Orange Brown\nBrown Orange Brown Orange\nOrange Brown Orange Brown\nBrown Orange Brown Orange\n\n\nExample 3\nInput:\nYellow Brown Yellow Brown\nBrown Yellow Brown Yellow\nYellow Brown Yellow Brown\nBrown Yellow Brown Yellow\n\nOutput:\nBrown Yellow Brown Yellow\nYellow Brown Yellow Brown\nBrown Yellow Brown Yellow\nYellow Brown Yellow Brown\n\n\nHere is the input grid for the test example:\nInput:\nPurple Blue Purple Blue Purple Blue\nBlue Purple Blue Purple Blue Purple\nPurple Blue Purple Blue Purple Blue\nBlue Purple Blue Purple Blue Purple\nPurple Blue Purple Blue Purple Blue\nBlue Purple Blue Purple Blue 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 Purple Blue Purple Blue Purple\nPurple Blue Purple Blue Purple Blue\nBlue Purple Blue Purple Blue Purple\nPurple Blue Purple Blue Purple Blue\nBlue Purple Blue Purple Blue Purple\nPurple Blue Purple Blue Purple 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 Brown Purple Gray Pink Orange Brown Green\nGreen Orange Orange Brown Orange Gray Orange Blue\nPink Gray Purple Orange Yellow Purple Red Orange\nOrange Green Orange Blue Purple Green Green Green\nPurple Yellow Gray Brown Purple Brown Orange Yellow\nYellow Green Orange Purple Gray Pink Pink Purple\nGray Brown Blue Purple Purple Yellow Yellow Gray\nYellow Red Gray Pink Orange Red Brown Red\n\nOutput:\nPink Brown Purple Gray Pink Orange Brown Green\nGreen Orange Orange Brown Orange Gray Orange Blue\nPink Gray Purple Orange Yellow Purple Red Orange\nOrange Green Orange Blue Purple Green Green Green\nPurple Yellow Gray Brown Purple Brown Orange Yellow\nYellow Green Orange Purple Gray Pink Pink Purple\nGray Brown Blue Purple Purple Yellow Yellow Gray\nOrange Gray Yellow Brown Pink Red Red Red\n\n\nExample 2\nInput:\nYellow Blue Red Green Pink Blue Gray\nRed Orange Brown Blue Purple Brown Gray\nBrown Brown Purple Purple Brown Pink Orange\nBlue Orange Brown Pink Green Green Yellow\nYellow Orange Yellow Blue Purple Purple Pink\nOrange Blue Green Red Pink Blue Purple\nPink Orange Red Pink Orange Yellow Brown\n\nOutput:\nYellow Blue Red Green Pink Blue Gray\nRed Orange Brown Blue Purple Brown Gray\nBrown Brown Purple Purple Brown Pink Orange\nBlue Orange Brown Pink Green Green Yellow\nYellow Orange Yellow Blue Purple Purple Pink\nOrange Blue Green Red Pink Blue Purple\nPink Pink Orange Orange Brown Yellow Red\n\n\nExample 3\nInput:\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\nOrange Gray Pink Blue Purple Yellow Orange Green Purple\nBlue Blue Brown Green Orange Gray Red Yellow Pink\nPurple Orange Gray Pink Purple Brown Yellow Brown Pink\nBlue Gray Green Gray Blue Blue Purple Orange Purple\nRed Brown Green Blue Green Yellow Green Blue Yellow\nOrange Green Gray Blue Green Blue Gray Pink Brown\n\nOutput:\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\nOrange Gray Pink Blue Purple Yellow Orange Green Purple\nBlue Blue Brown Green Orange Gray Red Yellow Pink\nPurple Orange Gray Pink Purple Brown Yellow Brown Pink\nBlue Gray Green Gray Blue Blue Purple Orange Purple\nRed Brown Green Blue Green Yellow Green Blue Yellow\nBlue Blue Green Green Orange Gray Gray Pink Brown\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Green Pink Brown Gray Brown Blue Pink\nGray Pink Gray Pink Brown Brown Orange Pink Pink\nPink Purple Brown Yellow Blue Orange Orange Pink Gray\nBlue Red Pink Brown Red Purple Orange Blue Orange\nYellow Purple Green Gray Orange Red Pink Green Green\nBrown Orange Purple Purple Yellow Blue Green Red Purple\nPurple Brown Orange Brown Yellow Blue Pink Blue Yellow\nGray Gray Red Purple Blue Red Yellow Orange Blue\nGray Brown Gray Orange Green Orange Red Brown Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Gray Green Pink Brown Gray Brown Blue Pink\nGray Pink Gray Pink Brown Brown Orange Pink Pink\nPink Purple Brown Yellow Blue Orange Orange Pink Gray\nBlue Red Pink Brown Red Purple Orange Blue Orange\nYellow Purple Green Gray Orange Red Pink Green Green\nBrown Orange Purple Purple Yellow Blue Green Red Purple\nPurple Brown Orange Brown Yellow Blue Pink Blue Yellow\nGray Gray Red Purple Blue Red Yellow Orange Blue\nBrown Brown Orange Orange Gray Gray Red Yellow Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Blue Blue Blue Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Blue Blue Blue Black Black Black Brown Brown Brown\nRed Red Red Blue Blue Blue Black Black Black Brown Brown Brown\nRed Red Red Blue Blue Blue Black Black Black Brown Brown Brown\nBrown Brown Brown Black Black Black Blue Blue Blue Red Red Red\nBrown Brown Brown Black Black Black Blue Blue Blue Red Red Red\nBrown Brown Brown Black Black Black Blue Blue Blue Red Red Red\nBrown Brown Brown Red Red Red Blue Blue Blue Black Black Black\nBrown Brown Brown Red Red Red Blue Blue Blue Black Black Black\nBrown Brown Brown Red Red Red Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Red Red Red Brown Brown Brown\nBlack Black Black Blue Blue Blue Red Red Red Brown Brown Brown\nBlack Black Black Blue Blue Blue Red Red Red Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow\nPurple Purple Purple Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow\nPurple Purple Purple Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple\nYellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple\nYellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple\nYellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple\nYellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple\nYellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple\nPurple Purple Purple Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow\nPurple Purple Purple Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow\nPurple Purple Purple Pink Pink Pink Purple Purple Purple Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Pink Pink Pink\nPink Pink Pink Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Pink Pink Pink\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black\nPink Pink Pink Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Pink Pink Pink\nPink Pink Pink Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Pink Pink Pink\nPink Pink Pink Black Black Black Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Brown Brown Brown Black Black Black Black Black Black\nYellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow\nYellow Yellow Yellow Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Yellow Yellow Yellow\nBlack Black Black Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Red Black Black Red Black Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue 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\nBlue Blue Blue Blue Blue Blue Black Black Black Blue\nBlack Black Red Black Black Blue Black Black Black Blue\nBlack Red Red Red Black Blue Black Black Black Blue\nRed Red Red Red Red Blue Black Black Black Blue\nBlack Red Red Red Black Blue Black Black Black Blue\nBlack Black Red Black Black Blue Black Black Black Blue\n\n\nExample 2\nInput:\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 Red Red Red Black\nBlack Black Black Black Red Black Black Red Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue 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\nBlue Blue Blue Blue Blue Blue Black Black Black Blue\nBlack Black Red Black Black Blue Black Black Black Blue\nBlack Red Red Red Black Blue Black Black Black Blue\nRed Red Red Red Red Blue Black Black Black Blue\nBlack Red Red Red Black Blue Black Black Black Blue\nBlack Black Red Black Black Blue Black Black Black 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 Red Black Black Black Red Black Black Black\nBlack Red Red Red Black Red Red Red Black Black\nBlack Black Red Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue 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 Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Blue\nBlack Red Black Blue Black Black Black Black Black Blue\nRed Red Red Blue Black Black Black Black Black Blue\nBlack Red Black Blue Black Black Black Black Black Blue\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 Red Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Red Black Black Red Black Black Black\nBlack Black Red Red Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 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\nBlue Blue Blue Blue Blue Blue Black Black Black Blue\nBlack Black Red Black Black Blue Black Black Black Blue\nBlack Red Red Red Black Blue Black Black Black Blue\nRed Red Red Red Red Blue Black Black Black Blue\nBlack Red Red Red Black Blue Black Black Black Blue\nBlack Black Red Black Black Blue Black Black Black Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\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 Green Green Green Black Black Black\nBlack Black Green Green Green Black Black Black\nBlack Black Green Green Green 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 Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black\nBlack Black Green Green Green Black Black Black\nBlack Black Green Green Green Black Black Black\nBlack Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Green Green Green Black\nBlack Black Black Blue Black Black Green Green Green Black\nBlack Black Black Black Black Black Green Green Green 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 Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Green Green Green Black\nBlack Black Black Black Yellow Black Green Green Green Black\nBlack Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Blue Black Black Black\nBlack Black Black Green Green Green Black Blue Blue Blue Black\nBlack Black Black Green Green Green Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Yellow Black Black Black Black\nBlack Black Black Green Green Green Yellow Yellow Yellow Black Black\nBlack Black Black Green Green Green Yellow 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Blue Black Black Black\nBlack Green Green Green Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Yellow Black Black Black Black Black\nBlack Green Green Green Yellow Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nYellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nYellow Yellow Yellow Black Black\nYellow Yellow Yellow Black Black\nYellow Yellow Yellow Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Blue Blue Blue\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Yellow Yellow Black\nBlack 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```\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Blue Blue\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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black 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 Brown Brown Brown Black\nBlack Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black\nBlack Black Black Brown Brown Brown Black\nBlack Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Pink Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green 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\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black\nBlack Black Green Black Black Black\nBlack Black Green 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:\nBrown Brown Orange Gray Gray Orange Pink Pink Gray Gray\nPink Blue Blue Purple Gray Blue Pink Purple Yellow Gray\nOrange Purple Green Gray Brown Yellow Yellow Blue Orange Yellow\nYellow Gray Orange Orange Gray Blue Brown Brown Purple Blue\nYellow Gray Blue Pink Orange Purple Orange Gray Brown Purple\nRed Gray Orange Pink Green Brown Green Yellow Brown Yellow\nBrown Brown Purple Orange Purple Brown Red Blue Red Brown\nBrown Gray Pink Green Red Gray Orange Blue Brown Green\nBrown Brown Brown Yellow Purple Green Green Pink Yellow Brown\nGray Pink Orange Green Red Pink Red Yellow Blue Yellow\n\nOutput:\nBrown Brown Yellow Yellow Yellow Yellow Yellow Pink Gray Yellow\nPink Blue Yellow Yellow Yellow Yellow Yellow Purple Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Gray Yellow Yellow Yellow Yellow Yellow Brown Purple Yellow\nYellow Gray Yellow Yellow Yellow Yellow Yellow Gray Brown Yellow\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Yellow Yellow Yellow Yellow Red Blue Red Yellow\nYellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Red Yellow Red Yellow Blue Yellow\n\n\nExample 2\nInput:\nBrown Pink Pink Green Yellow Green Yellow Blue Brown Blue\nBlue Brown Blue Pink Green Brown Blue Blue Orange Gray\nBrown Green Brown Blue Orange Yellow Orange Orange Brown Blue\nBlue Gray Purple Yellow Pink Purple Orange Yellow Gray Purple\nPurple Gray Brown Orange Yellow Brown Brown Purple Red Purple\nGray Pink Pink Purple Purple Brown Purple Yellow Red Purple\nGray Brown Blue Purple Gray Green Brown Pink Yellow Pink\nRed Purple Gray Pink Pink Orange Gray Red Yellow Purple\nGray Pink Yellow Brown Purple Brown Brown Yellow Red Yellow\nYellow Orange Purple Orange Brown Pink Red Orange Red Brown\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Yellow Purple Yellow Yellow Yellow Orange Yellow Gray Purple\nPurple Yellow Brown Yellow Yellow Yellow Brown Purple Red Purple\nGray Yellow Pink Yellow Yellow Yellow Purple Yellow Red Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Yellow Gray Yellow Yellow Yellow Gray Red Yellow Purple\nGray Yellow Yellow Yellow Yellow Yellow Brown Yellow Red Yellow\nYellow Yellow Purple Yellow Yellow Yellow Red Orange Red Brown\n\n\nExample 3\nInput:\nPink Brown Pink Orange Brown Blue Blue Red Orange Red\nPurple Orange Blue Green Red Gray Orange Purple Gray Purple\nPurple Purple Purple Yellow Purple Purple Red Blue Blue Green\nPink Pink Gray Brown Brown Pink Brown Red Green Purple\nYellow Purple Purple Blue Yellow Gray Green Brown Purple Brown\nYellow Brown Blue Pink Blue Blue Brown Gray Orange Purple\nGreen Orange Red Blue Gray Pink Pink Gray Yellow Gray\nBrown Yellow Orange Orange Gray Yellow Blue Orange Purple Gray\nRed Blue Purple Yellow Orange Pink Pink Blue Blue Yellow\nPurple Orange Gray Orange Orange Red Blue Gray Pink Gray\n\nOutput:\nYellow Brown Pink Yellow Brown Blue Blue Red Yellow Red\nYellow Yellow Yellow Yellow Red Gray Orange Purple Yellow Yellow\nYellow Purple Purple Yellow Purple Purple Red Yellow Yellow Yellow\nYellow Pink Gray Yellow Brown Pink Yellow Red Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Brown Blue Yellow Blue Blue Yellow Gray Yellow Yellow\nYellow Yellow Red Yellow Gray Pink Yellow Gray Yellow Yellow\nYellow Yellow Orange Yellow Gray Yellow Yellow Orange Yellow Yellow\nRed Blue Purple Yellow Orange Pink Yellow Blue Yellow Yellow\nPurple Orange Gray Yellow Orange Red Yellow Gray Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nYellow Brown Orange Red Red Orange Pink Pink Green Orange\nOrange Pink Gray Pink Blue Yellow Brown Gray Brown Brown\nPurple Brown Blue Yellow Purple Gray Gray Brown Gray Gray\nPurple Gray Gray Yellow Orange Yellow Orange Yellow Purple Brown\nYellow Orange Brown Blue Pink Green Brown Yellow Green Green\nYellow Brown Green Brown Green Red Red Gray Yellow Yellow\nBlue Yellow Pink Blue Blue Blue Red Gray Pink Pink\nYellow Purple Blue Purple Orange Yellow Blue Yellow Orange Blue\nBrown Orange Gray Purple Pink Yellow Orange Red Red Pink\nBlue Gray Yellow Pink Orange Red Brown Pink 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```\nYellow Brown Yellow Red Red Yellow Yellow Yellow Yellow Yellow\nOrange Pink Yellow Pink Yellow Yellow Brown Gray Yellow Yellow\nPurple Brown Yellow Yellow Yellow Yellow Gray Brown Yellow Yellow\nPurple Gray Yellow Yellow Yellow Yellow Orange Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Red Red Gray Yellow Yellow\nBlue Yellow Yellow Blue Yellow Blue Red Gray Yellow Yellow\nYellow Purple Yellow Purple Yellow Yellow Blue Yellow Yellow Yellow\nBrown Orange Yellow Purple Yellow Yellow Orange Red Red Yellow\nBlue Gray Yellow Pink Yellow Red Brown Pink Blue 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 Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nPink 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\nPink 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\nPink 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\nPink 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\nPink 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\nPink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\nYellow 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\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 Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\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 Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Yellow Purple Black Black\nBlack Brown Black Black Blue\nGreen Gray Black Red Black\nBlack Pink Black Orange Black\n\nOutput:\nBlack Pink Black Black Black\nBlack Gray Black Black Orange\nRed Brown Black Green Black\nBlack Yellow Black Blue Black\n\n\nExample 2\nInput:\nBlack Black Pink Black\nGray Black Black Brown\nBlack Red Green Orange\nYellow Black Blue Black\nPurple Black Black Black\n\nOutput:\nBlack Black Yellow Black\nBrown Black Black Gray\nBlack Green Red Blue\nPink Black Orange Black\nBlack Black Black Black\n\n\nExample 3\nInput:\nPurple Black Black Gray Green\nBlack Pink Black Black Black\nBlack Yellow Black Brown Black\nBlack Black Blue Red Black\nBlack Black Black Orange Black\n\nOutput:\nBlack Black Black Brown Red\nBlack Yellow Black Black Black\nBlack Pink Black Gray Black\nBlack Black Orange Green Black\nBlack Black Black Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Pink Brown\nBlue Orange Purple\nRed Gray 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```\nRed Yellow Gray\nOrange Blue Black\nGreen Brown 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\nBlack Black Black Black Black Black Black Black\nBlack Black Orange Orange Brown Gray Orange Black\nBlack Black Gray Pink Brown Pink Orange Black\nBlack Black Brown Brown Purple Brown Brown Black\nBlack Black Orange Pink Brown Pink Gray Black\nBlack Black Orange Gray Brown Orange Orange 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 Orange Orange Brown Gray Orange\nBlack Black Black Gray Pink Brown Pink Orange\nBlack Black Black Brown Brown Purple Brown Brown\nBlack Black Black Orange Pink Brown Pink Gray\nBlack Black Black Orange Gray Brown Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Green Blue Green Green Black\nBlack Black Green Blue Blue Blue Green Black\nBlack Black Pink Pink Purple Pink Pink Black\nBlack Black Yellow Pink Pink Pink Yellow Black\nBlack Black Black Purple Blue Purple 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 Green Green Blue Green Green\nBlack Black Black Green Blue Blue Blue Green\nBlack Black Black Pink Pink Purple Pink Pink\nBlack Black Black Yellow Pink Pink Pink Yellow\nBlack Black Black Black Purple Blue 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 Orange Pink Gray Red Black\nBlack Black Purple Red Red Red Red Black\nBlack Black Blue Blue Blue Pink Orange Black\nBlack Black Purple Purple Yellow Red Red Black\nBlack Black Black Yellow Yellow Green Orange 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 Orange Pink Gray Red\nBlack Black Black Purple Red Red Red Red\nBlack Black Black Blue Blue Blue Pink Orange\nBlack Black Black Purple Purple Yellow Red Red\nBlack Black Black Black Yellow Yellow Green Orange\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 Purple Blue Blue Brown Red Black\nBlack Black Purple Purple Pink Brown Red Black\nBlack Black Black Blue Red Pink Orange Black\nBlack Black Purple Purple Pink Brown Red Black\nBlack Black Purple Blue Blue Brown Red Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Blue Blue Brown Red\nBlack Black Black Purple Purple Pink Brown Red\nBlack Black Black Black Blue Red Pink Orange\nBlack Black Black Purple Purple Pink Brown Red\nBlack Black Black Purple Blue Blue Brown 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Blue\nBlack Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Yellow\nBlack Green Black Black Black Red Black Green\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Red\nBlack Black Black Black Black Black Black Black\nGreen 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 Blue Black Black Black Blue\nBlack Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Yellow\nBlack Green Black Black Black Red Black Purple\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Red\nBlack Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Yellow\nBlack Black Black Black Red Black Black\nBlack Black Red Black Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Red Black Green Yellow Black Red\nBlack Black Black Black Black Black Green\nBlack Yellow Black Black Black Black Black\nBlack Red Black Black Black Green Black\nBlack Black Yellow Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow\nBlack Black Black Black Red Black Black\nBlack Black Red Black Green Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black\nBlack Red Black Purple Yellow Black Red\nBlack Black Black Black Black Black Green\nBlack Yellow Black Black Black Black Black\nBlack Red Black Black Black Green Black\nBlack Black Yellow 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 Red Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Blue Black Black Black Red Black\nRed Black Blue Black Black Black Black Black Black Blue Black Black\nBlue Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Red 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 Red Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Blue Black Black Black Red Black\nGreen Black Blue Black Black Black Black Black Black Blue Black Black\nBlue Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Red 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:\nBlue Black Black Black Black Black Black Black Black Black\nYellow Green Black Black Black Black Blue Yellow Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Blue Red Black Black Black Black Black Black Black\nYellow Black Black Black Red 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 Black Black Black Black Black Black Black Black Black\nYellow Purple Black Black Black Black Blue Yellow Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Blue Green Black Black Black Black Black Black Black\nYellow Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Black Black Black\nYellow Yellow Black Yellow Black Black\nYellow Yellow Black Yellow Black Yellow\nBlack Black Black Black Yellow Black\nBlack Yellow Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow\nYellow Black Yellow Black Black Yellow\nBlack Yellow Black Yellow Black Black\nGray Gray Gray Gray Gray Gray\nRed Red Black Red Black Red\nRed Red Red Red Red Black\nBlack Red Red Black Red Black\nRed Red Red Red Black Black\nRed Black Red Red Red Black\nBlack Red Black Red Red Red\nBlack Red Red Red Black Red\nBlack Black Red Red Red Red\n\nOutput:\nOrange Orange Black Black Black Black\nOrange Orange Black Orange Black Black\nBlack Orange Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Orange Orange Black Black\nBlack Orange Black Black Orange Orange\nBlack Black Orange Black Black Orange\nBlack Black Black Orange Black Black\n\n\nExample 2\nInput:\nBlack Yellow Yellow Black Black Black Black Yellow\nBlack Yellow Yellow Yellow Yellow Black Black Black\nYellow Black Yellow Black Yellow Yellow Yellow Black\nYellow Yellow Black Yellow Black Black Yellow Yellow\nBlack Yellow Black Yellow Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray\nRed Red Black Red Red Red Red Red\nBlack Black Red Red Red Red Red Black\nRed Black Red Red Red Red Black Black\nRed Black Black Black Red Red Black Black\nRed Red Black Black Black Black Red Black\n\nOutput:\nBlack Orange Black Black Black Black Black Orange\nBlack Black Orange Orange Orange Black Black Black\nOrange Black Orange Black Orange Orange Black Black\nOrange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Yellow Yellow Black Black Black Black Yellow\nBlack Yellow Yellow Yellow Yellow Black Yellow Black Yellow\nYellow Black Black Black Black Black Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow Black Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nRed Black Red Red Black Black Red Black Red\nBlack Red Black Red Red Black Black Black Black\nBlack Red Red Black Black Black Black Black Red\nBlack Red Black Black Black Red Red Red Black\nBlack Red Black Red Black Red Black Red Red\n\nOutput:\nBlack Black Orange Orange Black Black Black Black Orange\nBlack Orange Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Orange Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Yellow Black Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Black Yellow Black Black\nYellow Black Yellow Black Black Black Yellow\nYellow Yellow Black Yellow Yellow Black Yellow\nBlack Black Black Yellow Black Yellow Black\nYellow Black Black Black Black Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray\nRed Red Red Black Red Black Black\nBlack Red Black Black Black Black Red\nBlack Black Red Red Black Red Black\nRed Black Black Black Black Red Red\nRed Red Red Black Red Red Black\nBlack Black Black Red Black Black Red\nBlack Red Red Red Black Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Black Orange Black Orange Black Black\nBlack Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black\nOrange Black Black Black Black Black Orange\nOrange Orange Black Black Orange Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Black Black Orange Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Blue Blue Black Black Blue Blue\nBlack Red Red Blue Blue Black Red Red Black\nBlack Red Red Black Black Black Red Red Black\nBlack Black Black Black Black Red Red Black Black\nRed Red Red Red Black Red Red Black Black\nRed Red Red Red Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Black Black Black\n\nOutput:\nGreen Green Green\nGreen Green Green\nGreen Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Black Black Black Black\nBlue Blue Black Black Black Black Red Red Black\nBlue Blue Black Red Red Black Red Red Black\nBlack Black Black Red Red Black Black Black Black\n\nOutput:\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Black Black\nBlack Red Red Blue Blue Black Black Black Black\nBlack Red Red Blue Blue Blue Blue Blue Blue\nRed Red Black Black Black Blue Blue Blue Blue\nRed Red Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Red Red Black Black\n\nOutput:\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Red Red Black Black\nBlack Black Red Red Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green\nGreen Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Black Yellow Yellow Yellow Yellow Black\nBlack Yellow Black Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Yellow Yellow Yellow\nBlack Yellow Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Green Green Green Black\nBlack Black Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Black Green Green Green Green Black\nBlack Black Black Green Green Black Black\nBlack Black Black Black Green Green Black\nBlack Black Black Black Green Black Black\nBlack Black Black Black Green Black Black\nBlack Black Black Green Green Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Green Green\nBlack Green Green Green Green\nBlack Black Green Green Green\nBlack Black Black Green Green\nBlack Black Black Black Green\nBlack Black Black Black Green\nBlack Black Black Black Green\nBlack Black Black Green Green\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Black\nBlack Black Black Green Green Green Green Green Black\nBlack Black Black Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Black\nBlack Black Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Green Green Green Green\nBlack Black Green Green Green Green Green\nBlack Black Black Green Green Green Green\nBlack Black Black Green Green Green Green\nBlack Black Green Green Green Green Green\nBlack Black Green Green Green Green Green\nBlack Green Green Green Green Green Green\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Gray Gray Black Gray Black\nBlack Black Gray Gray Gray Black\nBlack Gray Gray Gray Black Black\nBlack Gray Black Gray Gray 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 Gray Gray\nBlack Gray Gray Gray\nBlack Gray Black Gray\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:\nRed Yellow Red Yellow Red Yellow Red Yellow\nYellow Red Yellow Red Yellow Red Yellow Red\nRed Yellow Red Yellow Red Yellow Red Yellow\nYellow Red Yellow Red Yellow Red Yellow Red\nRed Yellow Red Yellow Red Yellow Red Yellow\nYellow Red Yellow Red Yellow Red Yellow Red\nRed Yellow Red Yellow Red Yellow Red Yellow\nYellow Red Yellow Red Yellow Red Yellow Red\n\nOutput:\nYellow Red Yellow Red Yellow Red Yellow Red\nRed Yellow Red Yellow Red Yellow Red Yellow\nYellow Red Yellow Red Yellow Red Yellow Red\nRed Yellow Red Yellow Red Yellow Red Yellow\nYellow Red Yellow Red Yellow Red Yellow Red\nRed Yellow Red Yellow Red Yellow Red Yellow\nYellow Red Yellow Red Yellow Red Yellow Red\nRed Yellow Red Yellow Red Yellow Red Yellow\n\n\nExample 2\nInput:\nBrown Green Brown Green Brown\nGreen Brown Green Brown Green\nBrown Green Brown Green Brown\nGreen Brown Green Brown Green\nBrown Green Brown Green Brown\nGreen Brown Green Brown Green\nBrown Green Brown Green Brown\n\nOutput:\nGreen Brown Green Brown Green\nBrown Green Brown Green Brown\nGreen Brown Green Brown Green\nBrown Green Brown Green Brown\nGreen Brown Green Brown Green\nBrown Green Brown Green Brown\nGreen Brown Green Brown Green\n\n\nExample 3\nInput:\nRed Gray Red Gray Red Gray\nGray Red Gray Red Gray Red\nRed Gray Red Gray Red Gray\nGray Red Gray Red Gray Red\nRed Gray Red Gray Red Gray\nGray Red Gray Red Gray Red\n\nOutput:\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBrown Red Brown Red Brown Red Brown Red Brown Red\nRed Brown Red Brown Red Brown Red Brown Red Brown\nBrown Red Brown Red Brown Red Brown Red Brown Red\nRed Brown Red Brown Red Brown Red Brown Red Brown\nBrown Red Brown Red Brown Red Brown Red Brown Red\nRed Brown Red Brown Red Brown Red Brown Red Brown\nBrown Red Brown Red Brown Red Brown Red Brown Red\nRed Brown Red Brown Red Brown Red Brown Red Brown\nBrown Red Brown Red Brown Red Brown Red Brown Red\nRed Brown Red Brown Red Brown Red Brown 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```\nRed Brown Red Brown Red Brown Red Brown Red Brown\nBrown Red Brown Red Brown Red Brown Red Brown Red\nRed Brown Red Brown Red Brown Red Brown Red Brown\nBrown Red Brown Red Brown Red Brown Red Brown Red\nRed Brown Red Brown Red Brown Red Brown Red Brown\nBrown Red Brown Red Brown Red Brown Red Brown Red\nRed Brown Red Brown Red Brown Red Brown Red Brown\nBrown Red Brown Red Brown Red Brown Red Brown Red\nRed Brown Red Brown Red Brown Red Brown Red Brown\nBrown Red Brown Red Brown Red Brown Red Brown 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 Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Purple Purple Purple Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Gray Gray Gray Purple Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Purple Purple Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Gray Purple Purple Gray Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Purple Purple Purple Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Gray Gray Gray Purple Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Gray Gray Gray Purple Purple Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Gray Purple Purple Gray Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Pink\n\n\nExample 2\nInput:\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Purple Yellow Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Purple Pink Yellow Black Black\nBlack Black Black Pink Black Pink Black Black Black Black Purple Purple Yellow Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Purple Pink Yellow Black Black\nBlack Black Gray Gray Gray Gray Pink Pink Pink Black Purple Yellow Black Black Black\nBlack Black Gray Gray Gray Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Pink Pink Pink Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Pink Pink Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBrown Brown Brown 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\n\nOutput:\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Purple Yellow Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Purple Pink Yellow Black Black\nBlack Black Black Pink Black Pink Black Black Black Black Purple Purple Yellow Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Purple Pink Yellow Black Black\nBlack Black Gray Gray Gray Gray Pink Pink Pink Black Purple Yellow Black Black Black\nBlack Black Gray Gray Gray Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Pink Pink Pink Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Pink Pink Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBrown Brown Brown 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 Yellow\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 Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Purple Purple Purple Purple Purple Black Black Black Yellow Black Black Pink Pink Pink Pink\nBlack Purple Purple Purple Purple Purple Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Purple Purple Purple Purple Purple Black Black Black Yellow Black Black Pink Pink Pink Pink\nBlack Purple Purple Purple Purple Purple Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Brown Brown Brown Black Black Black Black Black Green Green Black Black Black\nBlack Black Brown Brown Black Black Black Black Green Green Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black 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```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Brown Brown Brown Black Black Black Black Black Green Green Black Black Black\nBlack Black Brown Brown Black Black Black Black Green Green Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nPink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Yellow Yellow Black\nBlack Black Black Orange Black Black Black Yellow Yellow Black\nBlack Black Black Black Purple Orange Red Black Black Black\nOrange Yellow Black Brown Black Black Black Red Yellow Yellow\nBlack Red Yellow Gray Black Orange Green Yellow Yellow Yellow\nBlack Black Black Black Black Red Black Black Black Black\nBlack Purple Black Black Black Black Gray Purple 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 Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Red Red Black\nBlack Black Black Orange Black Black Black Red Red Black\nBlack Black Black Black Purple Orange Red Black Black Black\nOrange Yellow Black Brown Black Black Black Red Red Red\nBlack Red Yellow Gray Black Orange Green Yellow Red Red\nBlack Black Black Black Black Red Black Black Black Black\nBlack Purple Black Black Black Black Gray Purple Black Black\n\n\nExample 2\nInput:\nBlack Black Black Orange Black Black Green Black Black Black\nBlack Black Black Pink Black Orange Black Pink Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Brown Yellow Yellow Black Black Black Black\nYellow Black Pink Black Black Orange Black Black Black Black\nBlack Blue Black Black Black Black Black Red Black Black\nBlack Black Black Black Orange Black Yellow Black Black Black\nPurple Black Black Black Black Black Black Yellow Yellow Green\nRed Purple Pink Black Black Black Black Yellow Yellow Black\nBlack Black Pink Black Black Black Black Yellow Black Black\n\nOutput:\nBlack Black Black Orange Black Black Green Black Black Black\nBlack Black Black Pink Black Orange Black Pink Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Brown Red Red Black Black Black Black\nYellow Black Pink Black Black Orange Black Black Black Black\nBlack Blue Black Black Black Black Black Red Black Black\nBlack Black Black Black Orange Black Yellow Black Black Black\nPurple Black Black Black Black Black Black Red Red Green\nRed Purple Pink Black Black Black Black Red Red Black\nBlack Black Pink Black Black Black Black Yellow Black Black\n\n\nExample 3\nInput:\nRed Black Orange Yellow Yellow Black Black Blue Black Black\nBlack Black Brown Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Gray Red Black Black Black\nBlack Yellow Orange Black Black Black Yellow Yellow Black Black\nBlack Black Black Green Black Black Yellow Yellow Black Black\nBlack Red Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Gray Black Black Gray Black Yellow\nBlack Black Black Black Yellow Yellow Black Red Black Black\nYellow Pink Black Black Yellow Yellow Black Black Black Blue\nOrange Black Orange Black Red Black Yellow Black Blue Black\n\nOutput:\nRed Black Orange Red Red Black Black Blue Black Black\nBlack Black Brown Red Red Black Black Black Black Black\nBlack Black Black Black Black Gray Red Black Black Black\nBlack Yellow Orange Black Black Black Red Red Black Black\nBlack Black Black Green Black Black Red Red Black Black\nBlack Red Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Gray Black Black Gray Black Yellow\nBlack Black Black Black Red Red Black Red Black Black\nYellow Pink Black Black Red Red Black Black Black Blue\nOrange Black Orange Black Red Black Yellow Black Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Black Black Black Black Blue Black Black Black\nBlack Black Black Pink Black Black Black Black Black Pink\nBlack Black Gray Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Pink Gray Black Black Black\nBlack Black Black Gray Black Gray Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Brown Purple Brown Black Black Black Orange Black\nBlack Yellow Yellow Yellow Brown Black Black Black Black Black\nGreen Yellow Yellow Black Black Black Black Black Purple Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Black Black Black Black Blue Black Black Black\nBlack Black Black Pink Black Black Black Black Black Pink\nBlack Black Gray Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Pink Gray Black Black Black\nBlack Black Black Gray Black Gray Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Brown Purple Brown Black Black Black Orange Black\nBlack Red Red Yellow Brown Black Black Black Black Black\nGreen Red Red Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple\nBlack Green Black Black Black Black Black Black Black Purple\nBlack Green Black Black Pink Black Black Black Black Purple\nBlack Green Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Pink Black\nBlack Black Black Black Pink Pink Black Black Pink Black\nBlack Black Black Black Pink Pink Pink Black Pink Black\nBlack Black Black Black Black Pink Pink Pink Pink Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Blue Black Black Black Black Black Black Black Blue\nBlack Blue Black Black Red Black Black Black Black Blue\nBlack Blue Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Red Black\nBlack Black Black Black Red Red Black Black Red Black\nBlack Black Black Black Red Red Red Black Red Black\nBlack Black Black Black Black Red Red Red Red 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\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Blue Black Red Black Black\nGray Black Black Black Blue Blue Black Red Black Black\nBlack Black Blue Blue Blue Blue Red Red Black Black\nBlack Black Black Black Blue Red Red Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange 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\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Red Black Red Black Black\nBlue Black Black Black Red Red Black Red Black Black\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nPink Pink Pink Pink Pink Blue Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Red Black Black Black Black Black Yellow Black\nBlack Black Red Red Red Black Black Black Yellow Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Yellow Black\nBlack Black Yellow Yellow Yellow Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Brown Brown Black Gray Black Gray Gray\nBlack Black Black Brown Black Black Black Gray Gray Gray\nBlack Black Black Brown Black Black Black Gray Gray Black\nBlack Black Brown 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\n\n\nDirectly provide the output grids corresponding to the given test input 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 Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Red Red\nBlack Black Black Black Black Red Red Red Red Red\nBlack Black Black Yellow Yellow Black Red Black Red Red\nBlack Black Black Yellow Black Black Black Red Red Red\nBlack Black Black Yellow Black Black Black Red Red Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (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 Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\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 Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\nGray 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red 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\nBlack Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black\nBlack Pink Black Black Pink Black Brown Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black\nBlack Pink Black Black Pink Black Brown Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Red Black Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPurple Blue Black Black Gray Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Black Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nRed Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPurple Yellow Black Black Gray Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Black Black Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPurple Black Black Black Black Gray Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Purple Black Green\n\nOutput:\nBrown Black Black Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Black Black Black Black Black Black\nGreen Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPurple Black Black Black Black Gray Black\nBlack Black Black Black Black Green Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Purple Black Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Brown\nGray Black Black Black Black Pink Black Black Black\nOrange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Brown\nGray Black Black Black Black Pink Black 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 Green Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Pink Pink Black Black Yellow Yellow Green Green\nPurple Purple Pink Pink Black Black Yellow Yellow Green Green\nYellow Yellow Brown Brown Black Black Red Red Purple Purple\nYellow Yellow Brown Brown Black Black Red Red Purple Purple\nPink Pink Black Black Orange Orange Black Black Black Black\nPink Pink Black Black Orange Orange Black Black Black Black\nBrown Brown Black Black Blue Blue Green Green Black Black\nBrown Brown Black Black Blue Blue Green Green Black Black\nBlack Black Orange Orange Black Black Purple Purple Black Black\nBlack Black Orange Orange Black Black Purple Purple Black Black\n\nOutput:\nBrown Brown Black Black Black Black Red Red Purple Purple\nBrown Brown Black Black Black Black Red Red Purple Purple\nPink Pink Black Black Black Black Yellow Yellow Green Green\nPink Pink Black Black Black Black Yellow Yellow Green Green\nYellow Yellow Brown Brown Black Black Purple Purple Black Black\nYellow Yellow Brown Brown Black Black Purple Purple Black Black\nPurple Purple Pink Pink Blue Blue Green Green Black Black\nPurple Purple Pink Pink Blue Blue Green Green Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Brown Brown Purple Purple Black Black Blue Blue\nOrange Orange Brown Brown Purple Purple Black Black Blue Blue\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\nRed Red Black Black Orange Orange Orange Orange Blue Blue\nRed Red Black Black Orange Orange Orange Orange Blue Blue\nBlack Black Brown Brown Black Black Blue Blue Purple Purple\nBlack Black Brown Brown Black Black Blue Blue Purple Purple\nRed Red Brown Brown Green Green Purple Purple Black Black\nRed Red Brown Brown Green Green Purple Purple Black Black\n\nOutput:\nRed Red Brown Brown Green Green Purple Purple Blue Blue\nRed Red Brown Brown Green Green Purple Purple Blue Blue\nBlack Black Brown Brown Black Black Blue Blue Purple Purple\nBlack Black Brown Brown Black Black Blue Blue Purple Purple\nRed Red Black Black Orange Orange Orange Orange Blue Blue\nRed Red Black Black Orange Orange Orange Orange Blue Blue\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\nOrange Orange Brown Brown Purple Purple Black Black Black Black\nOrange Orange Brown Brown Purple Purple Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Pink Pink Green Green Black Black Brown Brown\nBlack Black Pink Pink Green Green Black Black Brown Brown\nBlack Black Gray Gray Purple Purple Orange Orange Brown Brown\nBlack Black Gray Gray Purple Purple Orange Orange Brown Brown\nRed Red Black Black Black Black Gray Gray Black Black\nRed Red Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\nBlue Blue Yellow Yellow Gray Gray Black Black Black Black\nBlue Blue Yellow Yellow Gray Gray Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Gray Gray Purple Purple Orange Orange Brown Brown\nBlack Black Gray Gray Purple Purple Orange Orange Brown Brown\nRed Red Pink Pink Green Green Black Black Brown Brown\nRed Red Pink Pink Green Green Black Black Brown Brown\nBlue Blue Yellow Yellow Gray Gray Black Black Black Black\nBlue Blue Yellow Yellow Gray Gray Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Blue Orange Orange Pink Pink Brown Brown\nBlack Black Blue Blue Orange Orange Pink Pink Brown Brown\nGray Gray Black Black Black Black Black Black Purple Purple\nGray Gray Black Black Black Black Black Black Purple Purple\nBlack Black Gray Gray Purple Purple Blue Blue Black Black\nBlack Black Gray Gray Purple Purple Blue Blue Black Black\nBlack Black Black Black Yellow Yellow Black Black Purple Purple\nBlack Black Black Black Yellow Yellow Black Black Purple Purple\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 Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple\nGray Gray Blue Blue Orange Orange Pink Pink Brown Brown\nGray Gray Blue Blue Orange Orange Pink Pink Brown Brown\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Gray Gray Purple Purple Blue Blue Purple Purple\nBlack Black Gray Gray Purple Purple Blue Blue Purple Purple\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 Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Blue Brown Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Purple Brown 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 Gray Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Pink Black Black Black Black Black\nBlack Black Black Green Yellow Green Black Black Black Black Black Black Black\nBlack Black Black Green Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Black Green 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 Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Gray Gray 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 Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Orange Black Orange Black Black Black Black Black Black Black\nBlack Black Black Orange Black Orange Black Black Black Black Black Black Black\nBlack Black Black Orange Black Orange 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 Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Red Green Brown Brown Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Red Red Black Green Green Black Black\nBlack Gray Purple Black Black Red Red Black Pink Pink Black Black\nBlack Purple Purple Black Black Orange Orange Black Pink Pink Black Black\nBlack Yellow Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Orange Orange Black Orange Orange Black Black\nBlack Orange Orange Black Black Orange Orange Black Orange Orange Black Black\nBlack Orange Orange Black Black Orange Orange Black Orange Orange Black Black\nBlack Orange Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack 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\nBlack Orange Red Red Red Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Brown Pink Black Black Black Black Black Black\nBlack Black Black Black Black Green Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red 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 Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Orange Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Brown Black\nBlack Black Black Black Black Red Black Red Black Black Black Orange Brown Black\nBlack Black Black Black Black Green Red Green Black Black Gray Orange Pink Black\nBlack Black Black Black Black Blue Red Blue Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Green Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Green Black Black Green 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 Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Orange Black Orange Black Black Black Orange Orange Black\nBlack Black Black Black Black Orange Orange Orange Black Black Orange Orange Orange Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black Orange Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nGreen Yellow Green Yellow Green Yellow Green Yellow\nYellow Green Yellow Green Yellow Green Yellow Green\nGreen Yellow Green Yellow Green Yellow Green Yellow\nYellow Green Yellow Green Yellow Green Yellow Green\nGreen Yellow Green Yellow Green Yellow Green Yellow\nYellow Green Yellow Green Yellow Green Yellow Green\nGreen Yellow Green Yellow Green Yellow Green Yellow\nYellow Green Yellow Green Yellow Green Yellow Green\n\nOutput:\nGray Orange Gray Orange Gray Orange Gray Orange\nOrange Gray Orange Gray Orange Gray Orange Gray\nGray Orange Gray Orange Gray Orange Gray Orange\nOrange Gray Orange Gray Orange Gray Orange Gray\nGray Orange Gray Orange Gray Orange Gray Orange\nOrange Gray Orange Gray Orange Gray Orange Gray\nGray Orange Gray Orange Gray Orange Gray Orange\nOrange Gray Orange Gray Orange Gray Orange Gray\n\n\nExample 2\nInput:\nGreen Yellow Green Yellow Green\nYellow Green Yellow Green Yellow\nGreen Yellow Green Yellow Green\nYellow Green Yellow Green Yellow\nGreen Yellow Green Yellow Green\n\nOutput:\nGray Orange Gray Orange Gray\nOrange Gray Orange Gray Orange\nGray Orange Gray Orange Gray\nOrange Gray Orange Gray Orange\nGray Orange Gray Orange Gray\n\n\nExample 3\nInput:\nGreen Yellow Green Yellow Green Yellow Green\nYellow Green Yellow Green Yellow Green Yellow\nGreen Yellow Green Yellow Green Yellow Green\nYellow Green Yellow Green Yellow Green Yellow\nGreen Yellow Green Yellow Green Yellow Green\nYellow Green Yellow Green Yellow Green Yellow\nGreen Yellow Green Yellow Green Yellow Green\n\nOutput:\nGray Orange Gray Orange Gray Orange Gray\nOrange Gray Orange Gray Orange Gray Orange\nGray Orange Gray Orange Gray Orange Gray\nOrange Gray Orange Gray Orange Gray Orange\nGray Orange Gray Orange Gray Orange Gray\nOrange Gray Orange Gray Orange Gray Orange\nGray Orange Gray Orange Gray Orange Gray\n\n\nHere is the input grid for the test example:\nInput:\nGreen Yellow Green Yellow Green Yellow\nYellow Green Yellow Green Yellow Green\nGreen Yellow Green Yellow Green Yellow\nYellow Green Yellow Green Yellow Green\nGreen Yellow Green Yellow Green Yellow\nYellow Green Yellow Green Yellow Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Orange Gray Orange Gray Orange\nOrange Gray Orange Gray Orange Gray\nGray Orange Gray Orange Gray Orange\nOrange Gray Orange Gray Orange Gray\nGray Orange Gray Orange Gray Orange\nOrange Gray Orange Gray Orange Gray\n```",
"role": "assistant"
}
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\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 Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Black Black\nBlue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\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 Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue 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 Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown\nYellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow\nBrown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown\nYellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow\nBrown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown\nYellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow\nBrown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow\nYellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown\nYellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown\nBrown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow\nBrown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown Brown Yellow Yellow\n\nOutput:\nGreen Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple\nGreen Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple\nPurple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green\nPurple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green\nGreen Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple\nGreen Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple\nPurple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green\nPurple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green\nGreen Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple\nGreen Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple\nPurple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green\nPurple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green\nGreen Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple\nGreen Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple\nPurple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green\nPurple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green Purple Purple Green Green\n\n\nExample 2\nInput:\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange\nOrange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green\nOrange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange\nOrange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green\nOrange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange\nOrange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green\nOrange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange\n\nOutput:\nYellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink\nYellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink\nPink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow\nPink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow\nYellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink\nYellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink\nPink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow\nPink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow\nYellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink\nYellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink\nPink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow\nPink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow\nYellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink\nYellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink\n\n\nExample 3\nInput:\nGray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray\nPink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink\nPink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink\nGray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray\nPink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink\nPink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink\nGray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray\nPink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink\nPink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink\nGray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray Pink Pink Gray Gray\n\nOutput:\nBlack Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black\nBlack Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black\nOrange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange\nOrange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange\nBlack Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black\nBlack Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black\nOrange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange\nOrange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange\nBlack Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black\nBlack Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black\nOrange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange\nOrange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange\nBlack Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black\nBlack Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black Orange Orange Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nBrown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\nRed Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\nPurple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue\nBlue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple 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 Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple 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 Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple 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 Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink 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 Black Black Black Black\nPink 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 Black Black Black Black\nPink 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\nPink 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\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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```\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray 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 Black Black\nGray 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 Black Black\nGray 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 Black Black\nGray 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 Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 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 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 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 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 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 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 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 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 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 Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green 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 Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Gray Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nOrange Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Yellow Black Red Green\nBlack Black Black Yellow Blue Black Black Black Black Orange\nBlack Black Black Black Black Purple Pink Black Black Black\nBlack Black Black Red Gray Black Gray Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Gray Black Black Black Purple Red Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nOrange Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Red Green\nBlack Black Black Yellow Blue Black Black Black Black Orange\nBlack Black Black Black Black Purple Pink Black Black Black\nBlack Black Black Red Gray Black Gray Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Blue Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Red\nGray Black Black Black Black Green Black Black Black Black\nBlack Black Purple Black Green Green Green Black Brown Black\nRed Yellow Black Red Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Purple Pink Black\nBlack Black Black Black Brown Black Black Orange Black Orange\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Red\nGray Black Black Black Black Yellow Black Black Black Black\nBlack Black Purple Black Yellow Yellow Yellow Black Brown Black\nRed Yellow Black Red Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Purple Pink Black\nBlack Black Black Black Brown Black Black Orange Black Orange\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Pink Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Gray Yellow Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Orange Orange Black Gray Black Black Black Black\nRed Black Blue Black Black Blue Green Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Orange\n\nOutput:\nGreen Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Pink Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Orange Orange Black Yellow Black Black Black Black\nRed Black Blue Black Black Blue Green Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Green Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Black Black Black Black\nGray Gray Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Red Gray Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Yellow Black Green Yellow Black\nBlack Black Black Black Black Yellow 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```\nBlack Black Black Green Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Yellow Black Black Black Black\nGray Gray Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Gray Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Yellow Black Green Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Yellow Black\nBlack Black Brown Black\nBlack Black Gray Red\nBlack Red Black Black\nRed Black Black Black\nBlack Yellow Red Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Black Purple Black\nPurple Black Black Black Black\nGray Black Black Black Black\nBlack Orange Black Black Purple\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nPink Black Black Orange Black\nPink Orange Black Black Red\nOrange Black Blue Black Blue\nBlack Pink Black Orange Gray\nBlue Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nPink Pink Pink Pink Pink Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nPink Pink Pink Pink Pink Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nPink Pink Pink Pink Pink Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nPink Pink Pink Pink Pink Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nPink Pink Pink Pink Pink Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nOrange Orange Orange Orange Orange Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue 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 Green Brown Orange Red\nBlack Black Black Black Black Red\nBlack Green Black Pink Brown Black\nBlack Black Green Black Black Black\nBlack Black Brown Black Black Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black Black Black Black Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\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 Brown Brown Black Black Brown Black Black Yellow\nBlack Blue Yellow Black Black Black Black Brown Black Black\nBlack Black Black Black Brown Black Black Blue Black Black\nBlue Blue Black Black Black Black Yellow Black Blue Blue\nBlack Black Blue Black Blue Brown Yellow Black Black Yellow\nBlack Black Black Black Black Black Blue Yellow Black Black\nBlack Yellow Black Black Brown Black Black Black Blue Black\nBlue Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Black Black Yellow Black Black Yellow\nBlack Blue Yellow Black Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Black Blue Black Black\nBlue Blue Black Black Black Black Yellow Black Blue Blue\nBlack Black Blue Black Blue Yellow Yellow Black Black Yellow\nBlack Black Black Black Black Black Blue Yellow Black Black\nBlack Yellow Black Black Yellow Black Black Black Blue Black\nBlue Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Purple Black Purple Purple Black Black Green Orange\nBlack Orange Pink Orange Purple Green Black Green Black Black\nPurple Purple Black Black Pink Green Black Green Orange Orange\nPink Black Black Orange Black Black Black Black Black Black\nBlack Black Black Green Pink Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Orange Black\nBlack Black Black Purple Black Orange Black Black Black Purple\nPink Purple Green Black Black Purple Black Black Orange Black\nPurple Purple Black Pink Black Black Green Pink Purple Black\nBlack Green Purple Black Black Pink Purple Green Black Black\n\nOutput:\nBlack Black Blue Black Blue Blue Black Black Yellow Blue\nBlack Blue Yellow Blue Blue Yellow Black Yellow Black Black\nBlue Blue Black Black Yellow Yellow Black Yellow Blue Blue\nYellow Black Black Blue Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Black\nBlack Black Black Blue Black Blue Black Black Black Blue\nYellow Blue Yellow Black Black Blue Black Black Blue Black\nBlue Blue Black Yellow Black Black Yellow Yellow Blue Black\nBlack Yellow Blue Black Black Yellow Blue Yellow Black Black\n\n\nExample 3\nInput:\nBlack Blue Black Black Blue Black Black Black Blue Green\nBlack Gray Black Black Gray Black Black Blue Gray Gray\nBlack Black Gray Black Green Blue Black Black Black Black\nGreen Green Black Gray Black Pink Blue Black Black Black\nBlack Green Pink Pink Black Gray Pink Black Pink Black\nBlack Black Black Green Green Black Black Gray Black Black\nGreen Black Black Black Black Gray Green Black Pink Black\nBlack Black Pink Black Blue Black Green Black Gray Gray\nBlack Black Black Green Black Black Black Black Black Pink\nPink Black Black Green Green Black Black Blue Black Black\n\nOutput:\nBlack Yellow Black Black Yellow Black Black Black Yellow Blue\nBlack Blue Black Black Blue Black Black Yellow Blue Blue\nBlack Black Blue Black Blue Yellow Black Black Black Black\nBlue Blue Black Blue Black Blue Yellow Black Black Black\nBlack Blue Blue Blue Black Blue Blue Black Blue Black\nBlack Black Black Blue Blue Black Black Blue Black Black\nBlue Black Black Black Black Blue Blue Black Blue Black\nBlack Black Blue Black Yellow Black Blue Black Blue Blue\nBlack Black Black Blue Black Black Black Black Black Blue\nBlue Black Black Blue Blue Black Black Yellow Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Brown Black Brown Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\nBrown Black Brown Black Black Black Black Black Black Brown\nBlack Black Brown Black Black Brown Brown Black Brown Black\nBlack Black Red Red Brown Black Brown Black Red Red\nBlack Black Black Brown Black Black Red Red Brown Brown\nRed Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Brown Black Black\nBlack Red Black Black Black Black Black Red Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nYellow Black Yellow Black Black Black Black Black Black Yellow\nBlack Black Yellow Black Black Yellow Yellow Black Yellow Black\nBlack Black Blue Blue Yellow Black Yellow Black Blue Blue\nBlack Black Black Yellow Black Black Blue Blue Yellow Yellow\nBlue Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Yellow Black Black\nBlack Blue Black Black Black Black Black Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Pink Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Orange Black Black Black Black\nBlack Orange Black Black Black Black Black\nOrange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Orange Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Gray 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 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 Blue 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 Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black\nBlack Black Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\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 Red Red Red Black Black\nBlack Black Black Black Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Red Red Red\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 Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPurple 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 Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Red Red Red Red Black Black\nBlack Black Black Black Black Red Black Black Red Black Black\nBlack Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red 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\nYellow Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black 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 Brown Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nBlack Black Orange Black Black Green Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black\nBlack Black Pink Black Black Red Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Red Black\nBlack Black Blue Black Black Black Black\nBlack Blue Black Black Black Black Black\nBlack Blue Black Black Black Black Black\nBlack Gray Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Green Black\nBlack Black Yellow Black Black Black Black\nBlack Yellow Black Black Black Black Black\nBlack Yellow Black Black Black Black Black\nBlack Brown Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Pink Black Black Black\nBlack Black Black Black Black Pink Black Black Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Black Black Black Pink Black Yellow Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Orange Black Black Black\nBlack Black Black Black Black Orange Black Black Brown\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Black Orange 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:\nRed Red Blue Blue Yellow Green Blue Blue Gray Gray\nBlue Green Blue Blue Yellow Green Yellow Yellow Red Red\nRed Blue Red Green Green Blue Red Gray Red Green\nRed Yellow Blue Blue Red Green Blue Yellow Gray Gray\nRed Yellow Yellow Yellow Green Blue Red Blue Gray Gray\nGreen Green Green Red Gray Yellow Yellow Gray Green Green\nGray Yellow Gray Blue Gray Blue Gray Yellow Green Green\nGreen Green Blue Green Red Red Gray Yellow Gray Blue\nRed Red Gray Blue Gray Yellow Green Gray Green Blue\nGreen Green Gray Red Blue Green Green Red Yellow Yellow\n\nOutput:\nGreen Green Yellow Yellow Red Blue Yellow Yellow Gray Gray\nYellow Blue Yellow Yellow Red Blue Red Red Green Green\nGreen Yellow Green Blue Blue Yellow Green Gray Green Blue\nGreen Red Yellow Yellow Green Blue Yellow Red Gray Gray\nGreen Red Red Red Blue Yellow Green Yellow Gray Gray\nBlue Blue Blue Green Gray Red Red Gray Blue Blue\nGray Red Gray Yellow Gray Yellow Gray Red Blue Blue\nBlue Blue Yellow Blue Green Green Gray Red Gray Yellow\nGreen Green Gray Yellow Gray Red Blue Gray Blue Yellow\nBlue Blue Gray Green Yellow Blue Blue Green Red Red\n\n\nExample 2\nInput:\nGray Yellow Gray Red Blue Yellow Red\nGreen Blue Yellow Blue Yellow Gray Yellow\nYellow Green Green Yellow Red Green Green\nGreen Blue Blue Blue Yellow Yellow Blue\nGray Green Blue Gray Blue Gray Blue\nRed Blue Red Gray Red Gray Blue\nGreen Red Green Yellow Blue Yellow Green\n\nOutput:\nGray Red Gray Green Yellow Red Green\nBlue Yellow Red Yellow Red Gray Red\nRed Blue Blue Red Green Blue Blue\nBlue Yellow Yellow Yellow Red Red Yellow\nGray Blue Yellow Gray Yellow Gray Yellow\nGreen Yellow Green Gray Green Gray Yellow\nBlue Green Blue Red Yellow Red Blue\n\n\nExample 3\nInput:\nRed Gray Blue Yellow Blue Red Gray\nGreen Gray Blue Green Blue Yellow Gray\nBlue Red Gray Yellow Gray Red Red\nYellow Yellow Red Gray Yellow Green Blue\nBlue Blue Green Gray Green Green Yellow\nBlue Red Red Gray Blue Green Gray\nRed Red Green Yellow Yellow Blue Gray\n\nOutput:\nGreen Gray Yellow Red Yellow Green Gray\nBlue Gray Yellow Blue Yellow Red Gray\nYellow Green Gray Red Gray Green Green\nRed Red Green Gray Red Blue Yellow\nYellow Yellow Blue Gray Blue Blue Red\nYellow Green Green Gray Yellow Blue Gray\nGreen Green Blue Red Red Yellow Gray\n\n\nHere is the input grid for the test example:\nInput:\nYellow Red Green Yellow Red Green Green Red Red\nGreen Yellow Gray Blue Gray Green Yellow Red Red\nBlue Red Green Red Gray Gray Yellow Gray Blue\nYellow Gray Blue Yellow Blue Blue Red Red Yellow\nRed Green Blue Yellow Green Blue Green Gray Green\nGray Red Gray Green Yellow Blue Red Blue Red\nRed Gray Red Blue Gray Yellow Red Blue Yellow\nGreen Blue Blue Yellow Blue Gray Gray Blue Blue\nGreen Yellow Gray Blue Green Gray Red 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```\nRed Green Blue Red Green Blue Blue Green Green\nBlue Red Gray Yellow Gray Blue Red Green Green\nYellow Green Blue Green Gray Gray Red Gray Yellow\nRed Gray Yellow Red Yellow Yellow Green Green Red\nGreen Blue Yellow Red Blue Yellow Blue Gray Blue\nGray Green Gray Blue Red Yellow Green Yellow Green\nGreen Gray Green Yellow Gray Red Green Yellow Red\nBlue Yellow Yellow Red Yellow Gray Gray Yellow Yellow\nBlue Red Gray Yellow Blue Gray Green Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\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\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\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 Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\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 Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink\nBlack Black Black Black Pink Pink Pink\nBlack Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\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 Gray Gray\nBlack Black Black Black Black Black Black Gray Gray\nBlack Black Black Gray Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Purple Orange Brown Black Black Black\nBlack Black Black Purple Orange Brown Orange Brown Black Black\nBlack Black Red Yellow Pink Orange Pink Pink Pink Black\nBlack Black Black Orange Blue Orange Gray Yellow Black Black\nBlack Black Black Black Orange Green Purple Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Black Black Black\nBlack Black Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Black Black\nBlack Black Black Orange Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black\nBlack Black Black Black Orange Red Green Black Black\nBlack Black Black Brown Blue Gray Red Yellow Black\nBlack Black Black Black Brown Blue Blue Black Black\nBlack Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray Black Black\nBlack Gray Gray Gray Black\nGray Gray Gray Gray Gray\nBlack Gray Gray Gray Black\nBlack Black Gray Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black\nBlack Black Black Black Gray Purple Red Black Black\nBlack Black Black Blue Gray Orange Yellow Brown Black\nBlack Black Black Black Orange Blue Yellow Black Black\nBlack Black Black Black Black Green 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 Orange Black Black\nBlack Orange Orange Orange Black\nOrange Orange Orange Orange Orange\nBlack Orange Orange Orange Black\nBlack Black Orange Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Yellow Orange Gray Black Black Black\nBlack Black Black Black Orange Pink Brown Pink Brown Black Black\nBlack Black Black Pink Orange Purple Brown Blue Pink Gray Black\nBlack Black Black Black Blue Pink Pink Brown Green Black Black\nBlack Black Black Black Black Pink Gray Gray Black Black Black\nBlack Black Black Black Black Black Pink 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 Brown Black Black Black\nBlack Black Brown Brown Brown Black Black\nBlack Brown Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown Brown\nBlack Brown Brown Brown Brown Brown Black\nBlack Black Brown Brown Brown Black Black\nBlack Black Black Brown Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple\nPurple Orange Orange Orange Orange Orange Orange Purple\nPurple Orange Orange Orange Orange Orange Orange Purple\nPurple Orange Orange Orange Orange Orange Orange Purple\nPurple Orange Orange Orange Orange Orange Orange Purple\nPurple Orange Orange Orange Orange Orange Orange Purple\nPurple Orange Orange Orange Orange Orange Orange Purple\nPurple Orange Orange Orange Orange Orange Orange Purple\nPurple Orange Orange Orange Orange Orange Orange Purple\nPurple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Green Green Green Green Green Green Green Green Orange\nOrange Green Green Green Green Green Green Green Green Orange\nOrange Green Green Green Green Green Green Green Green Orange\nOrange Green Green Green Green Green Green Green Green Orange\nOrange Green Green Green Green Green Green Green Green Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown\nBrown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown\nBrown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown\nBrown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown\nBrown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Black\nBlack 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\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Pink Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Brown Black Blue Blue 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 Black Black Black Black Black Black Black\nBlack Brown Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Pink Pink Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow 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\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Red Red 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 Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nPink Pink Pink Black Black Black Black Black Black Black Black Gray Brown Brown Gray\nPink Blue Pink Black Black Black Black Black Black Black Black Yellow Green Green Yellow\nPink Pink Pink Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Orange Yellow Yellow Orange Black Black Black Black Black Black Black\nBlack Black Black Black Green Purple Purple Green Black Black Purple Pink Purple Black Black\nBlack Black Black Black Green Orange Orange Green Black Black Purple Yellow Purple Black Black\nBlack Black Black Black Red Red Red Red Black Black Purple Gray Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlue Blue Blue Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlue Yellow Blue Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Red Red Red Red Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Purple Brown Green Green Purple Black Black Orange Yellow Red Orange\nBlack Black Yellow Pink Black Green Yellow Yellow Yellow Brown Black Black Red Blue Blue Yellow\nBlack Black Yellow Pink Black Green Yellow Purple Yellow Green Black Black Yellow Blue Blue Red\nBlack Black Black Black Black Brown Yellow Yellow Yellow Green Black Black Orange Red Yellow Orange\nBlack Black Black Black Black Purple Green Green Brown Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Pink Orange Orange Black Black Black\nBlack Pink Gray Purple Purple Black Black Black Black Black Pink Blue Yellow Black Black Black\nBlack Pink Gray Green Blue Black Black Black Black Black Red Purple Yellow Black Black Black\nBlack Pink Gray Green Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Gray Purple Purple Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Purple Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Yellow Blue Blue Blue Yellow Black Black Yellow Red Red Yellow\nBlack Black Yellow Yellow Black Yellow Blue Yellow Blue Yellow Black Black Yellow Red Red Yellow\nBlack Black Black Black Black Yellow Blue Blue Blue Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Red Red Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Red Red Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Red Red Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Black Blue Black Black Black Black Black Black Black Black Black\nGreen Pink Pink Black Black Black Brown Pink Green Red Red Purple Black Black\nGreen Pink Pink Black Black Black Pink Brown Green Green Yellow Purple Black Black\nBlack Black Black Black Black Black Green Green Purple Green Purple Purple Black Black\nBlack Pink Pink Purple Black Black Red Green Green Yellow Yellow Purple Black Black\nBlack Pink Yellow Purple Black Black Red Yellow Purple Yellow Yellow Yellow Black Blue\nBlack Blue Orange Orange Black Black Purple Purple Purple Purple Yellow Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Yellow Purple Blue Red Black Black Black Black Black Black Black Black\nBlack Gray Gray Blue Pink Blue Black Black Black Black Black Black Black Black\nBlack Yellow Green Pink Blue Purple Black Black Black Black Black Black Black Black\nBlack Yellow Pink Green Gray Yellow Black Black Black Blue Blue Black Black Black\nBlack Brown Yellow Yellow Gray Gray Black Black Black Blue Blue 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```\nRed Red Red Black Yellow Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Yellow Yellow Red Yellow Yellow Red Black Black\nRed Red Red Black Black Black Yellow Yellow Red Red Yellow Red Black Black\nBlack Black Black Black Black Black Red Red Yellow Red Red Red Black Black\nBlack Yellow Yellow Yellow Black Black Yellow Red Red Red Red Red Black Black\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Red Red Red Red Black Yellow\nBlack Yellow Yellow Yellow Black Black Red Red Red Red Red Yellow 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\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Black Black Black\nBlack 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 Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack 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 Blue Blue Blue Blue Blue Blue Black Black Black\nBlack 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 Blue Blue Blue Blue Blue Blue Black Black Black\nBlack 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 Blue Blue Blue Blue Blue Blue Black Black Black\nBlack 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green 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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Purple Purple Black Blue\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple\nBlack Black Black Black Brown Black Gray Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Brown Purple Yellow Yellow\nBlack Black Black Black Blue Black Brown Black\nBlack Black Black Black Purple Red Green Blue\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Black Blue Black Black Purple\nBlack Black Black Black Black Blue Gray Black\nBlack Black Black Black Green Black Green Green\nBlack Black Black Black Black Black Purple Black\nBlack Black Black Black Black Brown Black Yellow\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Yellow\nBlack Black Black Black Red Black Pink Black\nBlack Black Black Black Yellow Yellow Pink Brown\n\nOutput:\nBlue Black Purple Purple Purple Purple Black Blue\nBlack Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Purple\nBlack Gray Black Brown Brown Black Gray Black\nBlack Black Black Black Black Black Black Black\nYellow Yellow Purple Brown Brown Purple Yellow Yellow\nBlack Brown Black Blue Blue Black Brown Black\nBlue Green Red Purple Purple Red Green Blue\nBlack Black Purple Black Black Purple Black Black\nPurple Black Black Blue Blue Black Black Purple\nBlack Gray Blue Black Black Blue Gray Black\nGreen Green Black Green Green Black Green Green\nBlack Purple Black Black Black Black Purple Black\nYellow Black Brown Black Black Brown Black Yellow\nBlack Black Black Black Black Black Black Black\nYellow Red Black Black Black Black Red Yellow\nBlack Pink Black Red Red Black Pink Black\nBrown Pink Yellow Yellow Yellow Yellow Pink Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Brown Black Purple Black Brown\nBlack Black Black Black Black Brown Pink Black Pink Red\nBlack Black Black Black Black Black Red Purple Green Black\nBlack Black Black Black Black Brown Black Orange Black Black\nBlack Black Black Black Black Black Brown Black Gray Black\nBlack Black Black Black Black Black Orange Pink Brown Black\nBlack Black Black Black Black Red Black Green Black Black\n\nOutput:\nBrown Black Purple Black Brown Brown Black Purple Black Brown\nRed Pink Black Pink Brown Brown Pink Black Pink Red\nBlack Green Purple Red Black Black Red Purple Green Black\nBlack Black Orange Black Brown Brown Black Orange Black Black\nBlack Gray Black Brown Black Black Brown Black Gray Black\nBlack Brown Pink Orange Black Black Orange Pink Brown Black\nBlack Black Green Black Red Red Black Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Gray Black Black Red Black\nBlack Black Black Black Black Black Blue Black Red Red Black\nBlack Black Black Black Black Black Blue Black Pink Orange Red\nBlack Black Black Black Black Black Red Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Pink\nBlack Black Black Black Black Black Orange Black Gray Blue Red\n\nOutput:\nBlack Black Gray Black Black Black Black Black Gray Black Black\nBlack Red Black Black Gray Black Gray Black Black Red Black\nBlack Red Red Black Blue Black Blue Black Red Red Black\nRed Orange Pink Black Blue Black Blue Black Pink Orange Red\nBlack Black Black Gray Red Black Red Gray Black Black Black\nPink Black Gray Gray Black Black Black Gray Gray Black Pink\nRed Blue Gray Black Orange Black Orange Black Gray Blue Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Brown\nBlack Black Black Black Black Yellow Red Red Orange\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Red Orange Orange Brown\nBlack Black Black Black Black Brown Black Black Red\nBlack Black Black Black Black Purple Black Blue Black\nBlack Black Black Black Black Red Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBrown Black Brown Black Black Black Brown Black Brown\nOrange Red Red Yellow Black Yellow Red Red Orange\nBlack Black Yellow Black Black Black Yellow Black Black\nBlack Black Orange Black Black Black Orange Black Black\nBrown Orange Orange Red Black Red Orange Orange Brown\nRed Black Black Brown Black Brown Black Black Red\nBlack Blue Black Purple Black Purple Black Blue Black\nBlack Black Blue Red Black Red Blue Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Green Green Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Red Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Red Red Green Green\nBlack Black Black Black Green Green Black Black Black Black Black Black Red Red Green Green\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nGreen Green Black Black Green Green Red Red Black Black Black Black Black Black Red Red\nGreen Green Black Black Green Green Red Red Black Black Black Black Black Black Red Red\nBlack Black Green Green Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Green Green Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nRed Red Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Green Green Red Red\nBlack Black Black Black Red Red Black Black Black Black Black Black Green Green Red Red\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\nRed Red Black Black Red Red Green Green Black Black Black Black Black Black Green Green\nRed Red Black Black Red Red Green Green Black Black Black Black Black Black Green Green\nBlack Black Red Red Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Red Red Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nGreen Green Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Red Red Red Green Green Green Green Black Black\nBlack Black Black Black Red Red Red Red Green Green Green Green Black Black\nRed Red Black Black Green Green Black Black Black Black Red Red Black Black\nRed Red Black Black Green Green Black Black Black Black Red Red 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\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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Green Green Red Red Black Black Red Red Black Black\nRed Red Black Black Green Green Red Red Black Black Red Red Black Black\n\nOutput:\nBlack Black Black Black Red Red Red Red Green Green Green Green Black Black\nBlack Black Black Black Red Red Red Red Green Green Green Green Black Black\nGreen Green Black Black Red Red Black Black Black Black Green Green Black Black\nGreen Green Black Black Red Red Black Black Black Black Green Green Black Black\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\nRed Red 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\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Red Red Green Green Black Black Green Green Black Black\nGreen Green Black Black Red Red Green Green Black Black Green Green Black Black\n\n\nExample 3\nInput:\nRed Red Black Black Black Black Red Red Black Black Green Green Black Black Black Black Black Black\nRed Red Black Black Black Black Red Red Black Black Green Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green\nGreen Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green\nBlack Black Red Red Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Red Red Black Black Black Black 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 Black Black Red Red Black Black Black Black Green Green Black Black Red Red Green Green\nBlack Black Black Black Red Red Black Black Black Black Green Green Black Black Red Red Green Green\nGreen Green Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Black Black Black Black Green Green Black Black Red Red Black Black Black Black Black Black\nGreen Green Black Black Black Black Green Green Black Black Red Red Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red\nRed Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red\nBlack Black Green Green Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Red Red Black Black Green Green Green Green\nBlack Black Black Black Green Green Black Black Black Black Red Red Black Black Green Green Green Green\nRed Red Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nRed Red Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Red Red Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black\nGreen Green Black Black Black Black Black Black Red Red Black Black Red Red Black Black Black Black\nRed Red Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nRed Red Black Black Red Red Black Black Red Red Black Black Black Black Black Black Red Red\nRed Red Black Black Red Red Black Black Red Red Black Black Black Black Black Black Red Red\nBlack Black Green Green Red Red Green Green Black Black Green Green Black Black Black Black Red Red\nBlack Black Green Green Red Red Green Green Black Black Green Green Black Black Black Black Red Red\nGreen Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black Red Red\nGreen Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black Red Red\nRed Red Black Black Black Black Black Black Red Red Black Black Green Green Black Black Black Black\nRed Red Black Black Black Black Black Black Red Red Black Black Green Green Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Green Green Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Red Red Black Black Green Green Black Black Black Black\nRed Red Black Black Black Black Black Black Red Red Black Black Green Green Black Black Black Black\nRed Red Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nRed Red Black Black Red Red Black Black Green Green Black Black Black Black Black Black Red Red\nRed Red Black Black Red Red Black Black Green Green Black Black Black Black Black Black Red Red\nBlack Black Red Red Red Red Red Red Black Black Red Red Black Black Black Black Red Red\nBlack Black Red Red Red Red Red Red Black Black Red Red Black Black Black Black Red Red\nRed Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Red\nRed Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black Red Red\nGreen Green Black Black Black Black Black Black Green Green Black Black Red Red Black Black Black Black\nGreen Green Black Black Black Black Black Black Green Green Black Black Red Red Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Blue Yellow Yellow Black Black Black Black Black\nPink Pink Pink Orange Gray Black Black Black Black Black\nBlack Black Blue Yellow Yellow Black Black Red Red Blue\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Orange Black Red\nBlack Black Black Black Black Black Black Red Red Red\nRed Red Orange Purple Black Black Black Red Red Blue\nBlack Purple Blue Gray Black Black Black Black Black Black\nBlack Purple Blue Gray Black Black Black Black Black Black\nRed Red Orange Purple Black Black Black Black Black Black\n\nOutput:\nRed Red Orange Purple\nBlack Purple Blue Gray\nBlack Purple Blue Gray\nRed Red Orange Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Yellow Yellow Blue\nBlack Black Black Black Blue Blue Brown Green Gray Gray\nBlack Black Black Blue Blue Blue Brown Green Gray Gray\nBlack Black Black Black Blue Blue Brown Yellow Yellow Blue\nBlack Blue Blue Green Green Black Black Black Black Black\nBlue Blue Green Green Green Red Red Red Yellow Red\nBlue Blue Green Green Green Black Orange Red Black Black\nBlack Blue Blue Green Green Red Red Red Yellow Red\n\nOutput:\nBlack Black Black Black Black Black Brown Yellow Yellow Blue\nBlack Black Black Black Blue Blue Brown Green Gray Gray\nBlack Black Black Blue Blue Blue Brown Green Gray Gray\nBlack Black Black Black Blue Blue Brown Yellow Yellow Blue\nBlack Blue Blue Green Green Black Black Black Black Black\nBlue Blue Green Green Green Red Red Red Yellow Red\nBlue Blue Green Green Green Black Orange Red Black Black\nBlack Blue Blue Green Green Red Red Red Yellow Red\n\n\nExample 3\nInput:\nBlack Pink Yellow Yellow Purple Black Black Black Black Black\nBlack Black Gray Purple Black Black Black Black Black Black\nBlack Pink Yellow Yellow Purple Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Green Black\nBlack Black Black Black Blue Brown Black Black Green Black\nBlack Black Black Black Blue Brown Black Black Green Black\nBlack Black Black Black Red Red Red Red Green Black\nBlack Black Black Black Black Black 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:\nPink Yellow Yellow Purple Black Black Black Black\nBlack Gray Purple Black Black Black Black Black\nPink Yellow Yellow Purple Black Black Black Black\nBlack Black Black Red Red Red Red Green\nBlack Black Black Blue Brown Black Black Green\nBlack Black Black Blue Brown Black Black Green\nBlack Black Black Red Red Red Red Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Purple Blue Black\nBlack Black Black Black Brown Brown Yellow Purple Blue Black\nBlack Black Black Black Black Brown Blue Brown Brown Black\nBlack Black Black Black Brown Brown Yellow Purple Blue Black\nBlack Black Black Black Black Black Red Purple Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Red Green Pink Pink Black Black Black Black\nBlack Pink Black Green Black Brown Black Black Black Black\nBlack Pink Red Green Pink Pink Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Purple Blue\nBrown Brown Yellow Purple Blue\nBlack Brown Blue Brown Brown\nBrown Brown Yellow Purple Blue\nBlack Black Red Purple 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 Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Blue Pink Yellow Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Yellow Blue Green Orange Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Pink Blue Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Brown Red Purple Green Green Blue Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Purple Brown Orange Blue Red Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Purple Green Yellow Gray Gray Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Gray Green Purple Purple Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Blue Purple Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Pink Purple Pink Gray Brown Gray Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Orange Orange Red Orange Gray Purple Orange Black Black Black\nBlack Black Black Yellow Blue Purple Purple Blue Black Yellow Yellow Blue Purple Red Orange Purple Gray Black Black Black\nBlack Black Black Blue Gray Brown Purple Orange Black Black Blue Green Gray Pink Pink Purple Purple Black Black Black\nBlack Black Orange Red Red Gray Brown Brown Black Black Purple Red Pink Orange Orange Red Purple Black Black Black\nBlack Black Black Green Orange Brown Pink Pink Black Black Black Pink Gray Yellow Orange Yellow Black Black Black Black\nBlack Black Black Pink Brown Brown Orange 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\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 Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Black Black Black Black Black Green Orange Gray Purple Gray Black Black\nBlack Black Black Black Black Yellow Blue Pink Brown Blue Black Black Gray Purple Pink Purple Purple Gray Red Black\nBlack Black Black Black Black Blue Red Yellow Gray Orange Black Black Yellow Purple Green Green Blue Pink Pink Black\nBlack Black Black Black Green Blue Green Pink Orange Pink Black Purple Gray Red Pink Purple Yellow Brown Gray Black\nBlack Black Black Black Black Blue Gray Pink Pink Red Black Black Purple Pink Pink Gray Blue Yellow Blue Black\nBlack Black Black Black Purple Green Green Red Brown Purple Black Black Blue Red Gray Orange Pink Yellow Yellow Black\nBlack Black Purple Gray Brown Green Yellow Black Black Black Black Black Black Gray Green Purple Green Gray Black Black\nBlack Black Pink Yellow Blue Pink Red Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Pink Brown Brown Green Blue Green Black Brown Purple Pink Gray Gray Black Black Black Black Black Black Black\nBlack Black Blue Blue Brown Brown Pink Black Pink Red Purple Red Green Black Black Black Black Black Black Black\nBlack Black Gray Blue Pink Brown Orange Orange Brown Red Blue Red Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Yellow Purple Green Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Orange Gray Red Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Blue Blue Brown Black Black Black Black Black Black Black Black Black Black Black\nPink Gray Black Purple Blue Blue Green Yellow Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Brown Green Black Gray Pink Black Gray Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Green Green Black Pink Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Red Black Red Brown Red Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Blue Orange Brown Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Orange Gray Purple Orange Blue Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Blue Yellow Red Green Red Orange Black Black Black Black\nBlack Black Black Black Black Black Black Gray Purple Orange Green Red Yellow Brown Orange Purple Black Black Black Black\nBlack Black Black Black Black Black Green Green Blue Yellow Blue Brown Green Green Green Pink Black Black Black Black\nBlack Black Black Black Black Pink Green Orange Blue Brown Yellow Red Brown Blue Red Pink Black Black Black Black\nBlack Black Black Black Black Black Yellow Blue Purple Black Green Pink Purple Yellow Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Pink Orange Pink Yellow Blue Black Black Black Gray Brown Orange Purple Yellow Black Black Black Black Black Black\nBlack Green Red Pink Brown Brown Black Black Blue Blue Pink Purple Pink Orange Purple Black Black Black Black Black\nBlue Brown Green Pink Yellow Brown Black Black Yellow Green Red Purple Yellow Brown Yellow Black Black Black Black Black\nBlack Orange Orange Pink Red Green Black Pink Red Red Purple Red Blue Brown Gray Black Black Black Black Black\nBlack Blue Pink Brown Yellow Gray Black Black Yellow Gray Green Gray Orange Purple Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Pink Brown Green Red Blue Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Green Brown Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Green Black Gray Black Black Blue Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Purple Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Blue Yellow Orange Green Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Brown Purple Green Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Yellow Red Orange Pink Gray Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Green Orange Pink Red Blue Black Black Orange Black Black Black Black Black\nBlack Black Black Black Pink Purple Yellow Pink Green Purple Blue Purple Black Blue Brown Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Red Red Purple Green Red Orange Yellow Gray Green Gray Black Black Black Black\nBlack Black Black Black Black Pink Brown Pink Brown Gray Orange Orange Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Brown Gray Yellow Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Pink Yellow Brown Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Purple Yellow Green Orange Purple Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Pink Black Orange Pink Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Green Pink Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Green Blue Red Blue Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Pink Pink Pink Pink Pink Black Yellow Yellow Yellow Black\nBlack Pink Pink Pink Pink Black Black Yellow Black Yellow Yellow\nBlack Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink 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\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Red Red Red Black Gray Gray Black Black\nBlack Black Black Red Red Red Black Gray Gray Gray Black\nBlack Black Black Red Red Red Black Gray Gray Gray Black\nBlack Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Red Red Red Red Red Red Red 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 Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red Red\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\nBlack Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Brown Black Black Brown Black\nPurple Purple Purple Purple Purple Black Brown Brown Brown Brown Black\nPurple Purple Purple Purple Black Black Brown Brown Brown Brown Black\nPurple Purple Purple Black Black Black Brown Black Black Brown Black\nBlack Black Black Black Black Black Brown Black Black Brown 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\nPurple Purple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple 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 Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Green Green Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\n\nOutput:\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\n\n\nExample 2\nInput:\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\n\nOutput:\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\n\n\nExample 3\nInput:\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue\n\nOutput:\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red\n\n\nHere is the input grid for the test example:\nInput:\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red 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 Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\n```",
"role": "assistant"
}
]
|
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